From c5e7784810c9ba7f78f37a050cc7da6309fe7703 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Fri, 6 Feb 2026 20:23:52 -0500 Subject: [PATCH] first commit --- .DS_Store | Bin 0 -> 8196 bytes .../research_statement_v1.tex | 82 ++ 1-goals-and-outcomes/v1.tex | 114 ++ 2-state-of-the-art/outline.md | 138 +++ 2-state-of-the-art/v1.tex | 165 +++ 3-research-approach/Untitled.canvas | 53 + 3-research-approach/outline.md | 35 + 3-research-approach/v1.tex | 285 +++++ 3-research-approach/v2.tex | 429 +++++++ 4-metrics-of-success/v1.tex | 88 ++ 5-risks-and-contingencies/assumptions.md | 67 ++ 5-risks-and-contingencies/v1.tex | 158 +++ 6-broader-impacts/v1.tex | 71 ++ 8-schedule/v1.tex | 96 ++ CLAUDE.md | 133 +++ ERLM_Request_for_Proposals.pdf | Bin 0 -> 137400 bytes README.md | 0 biblatex.sty | 0 dane_proposal_format.cls | 116 ++ main.aux | 59 + main.bbl | 52 + main.blg | 63 ++ main.fdb_latexmk | 264 +++++ main.fls | 564 ++++++++++ main.log | 1000 +++++++++++++++++ main.pdf | Bin 0 -> 153240 bytes main.synctex.gz | Bin 0 -> 157001 bytes main.tex | 45 + main.toc | 20 + references.bib | 311 +++++ 30 files changed, 4408 insertions(+) create mode 100644 .DS_Store create mode 100644 1-goals-and-outcomes/research_statement_v1.tex create mode 100644 1-goals-and-outcomes/v1.tex create mode 100644 2-state-of-the-art/outline.md create mode 100644 2-state-of-the-art/v1.tex create mode 100644 3-research-approach/Untitled.canvas create mode 100644 3-research-approach/outline.md create mode 100644 3-research-approach/v1.tex create mode 100644 3-research-approach/v2.tex create mode 100644 4-metrics-of-success/v1.tex create mode 100644 5-risks-and-contingencies/assumptions.md create mode 100644 5-risks-and-contingencies/v1.tex create mode 100644 6-broader-impacts/v1.tex create mode 100644 8-schedule/v1.tex create mode 100644 CLAUDE.md create mode 100644 ERLM_Request_for_Proposals.pdf create mode 100644 README.md create mode 100644 biblatex.sty create mode 100644 dane_proposal_format.cls create mode 100644 main.aux create mode 100644 main.bbl create mode 100644 main.blg create mode 100644 main.fdb_latexmk create mode 100644 main.fls create mode 100644 main.log create mode 100644 main.pdf create mode 100644 main.synctex.gz create mode 100644 main.tex create mode 100644 main.toc create mode 100644 references.bib diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5611d094dfaedac1603f24b33003f8518ae93202 GIT binary patch literal 8196 zcmeHM&2G~`5T0!dbtyjqiWCkYOI%AxTUxc^5<+`G0tqz;4uC=&JE>LI4z@#Ds-m3X z9e4$$YpRK@|r?VK>?xdp+Om>^HM^cS}T~-goDS%0y(LvMf!bIi~P) zu1CsP*27={JW-1RO6WFZctqQD7zPXjh5^HXVZbo(H!y&2HWzEecV9gOcj9M5f5hpc6C zsHB3EP;e62$RgXJ2st`%wp1rkQ_{4C0mHyi26*p2Lvz@(cPYy4-(B=Y)Tfl%kXz(Y z@-T?nP7pc3@G`rPTKORhu86MCJTM6mEmTk9J7`ndkasPLDJ|Ie{5v+BLDI|o_~P^e zKS`_AuVQR`;>_7eYtovwUNttNK_hLY{iNQCU+~@2C<>hY>z4D(_Xf?<%!4RQTYl)p z65zWYR9-&!LpK`KqkiZn65CJ@tSM`%St{@DF03rh+Vcz5y;*yAWxhIVFD)xJf&3kTtMR=i!o%8f2-xO%)80(oVrJr?YOj34_xoaGV6T zd+?)Eu+72LZClb44p;>q^=Z4Hk0cToHPUo_hq)=}!~QSy1L_v^kqSBelIBkb{yUiC zA^%&nna6V?A5lB6FWJ)dFCuF^WF#**wOl!`Dk|^uSjogUjX7Q+rkpwk z#+AqAX~?zF=l`c}UdCa=fMMX|42X%<#%dk<`+uw!p}g0&QD38SVZEV}5`so<$06l* r9P;2FhPbw&%9vUvhf1Oc<&Pf(=-Zc(Urh7;R~rEH{g+Al4>msmy315°C AND pressurizer level 30-60% THEN MAY initiate load following" +% These thresholds come from design-basis safety analysis, validated over decades +% Our methodology assumes this domain knowledge exists and provides formalization framework +% The discrete predicates p₁, p₂, ... are Boolean functions over continuous state: pᵢ: X → {true, false} +% Q: How do we rigorously set thresholds for continuous→discrete abstraction? +% Q: How do we handle hysteresis to prevent mode chattering near boundaries? +% Q: How do we account for sensor noise and measurement uncertainty? +% Q: How do we handle numerical precision issues when creating discrete automata? (relates to task 36) + +% Discrete controller implementation can be realized with reactive synthesis. +% LTL specs to automata + +% talk a bit about tools here like FRET. Talk about previous attempts. + +%%%%%%%%%%%% Building continuous controllers + +% The whole point of a hybrid system is that there are continuous components +% underneath the digital system. We built the discrete like the physical doesn't +% exist, but it really does. So how do we capture the physical system too? + +% SCOPE FRAMING: This methodology VERIFIES continuous controllers, not SYNTHESIZES them +% Compare to model checking: doesn't tell you HOW to design software, verifies if it satisfies specs +% We assume controllers can be designed using standard control theory techniques +% Our contribution: verification that candidate controllers compose correctly with discrete layer + +% What are the main different kinds of continuous modes we may see? +% Mathematical structure: Each discrete mode qᵢ provides three key pieces of information: +% 1. Entry conditions: X_entry,i ⊆ X (initial state set) +% 2. Exit conditions: X_exit,i ⊆ X (target state set) +% 3. Invariants: X_safe,i ⊆ X (safety envelope during operation) +% These come from the discrete controller synthesis and define objectives for continuous control +% Q: Who designs the continuous controllers and how? This methodology verifies +% them, but doesn't synthesize them. Is this a scope problem? + +%%%%%% Transitory modes + +% entry and exit conditions +% the goal is getting from one physical state to another +% MATHEMATICAL FORMULATION: +% Control objective: reach(X_entry,i) → reach(X_exit,i) while maintaining x(t) ∈ X_safe,i +% Standard control techniques (LQR, MPC, trajectory optimization) applied with these constraints +% +% VERIFICATION: Reachability analysis confirms ALL trajectories starting in X_entry,i +% reach X_exit,i without violating X_safe,i +% Formally: Reach(X_entry,i, f(x,u), T) ⊆ X_exit,i ∪ X_safe,i +% where f(x,u) is the closed-loop continuous dynamics +% +% we have the physical requirements from earlier specifications. Here we use +% them in a reachability analysis. This time, we use the actual physical values +% instead of the binary yes/no we used for discrete +% Q: How do we verify timing constraints? If a transitory controller eventually +% reaches the exit condition but takes too long, that violates safety. Timed +% automata? Timed reachability? +% Q: Should formalize the Mealy machine perspective - continuous system IS the +% transition, and entry/exit conditions are the discrete states. This could be +% a unifying conceptual framework. + +%%%%%% stabilizing modes + +% these are control modes with an objective of KEEPING a certain discrete state +% stable +% +% MATHEMATICAL FORMULATION: +% Control objective: remain(X_target,i) where X_target,i ⊂ X_safe,i +% Standard feedback control (PID, state feedback, LQG) applied to maintain equilibrium +% +% VERIFICATION: Barrier certificates prove closed-loop dynamics cannot escape X_safe,i +% Formally: Find B(x) s.t. ∇B(x)·f(x,u) ≤ 0 for all x ∈ ∂X_safe,i +% This proves no trajectory can cross the boundary (no flux out of safety region) +% +% we also have the physical requirements for this. These can be used for barrier +% certificates. We can prove that our model won't leave a given area without +% some disturbance. + +%%%%%% expulsory modes +% I've made an implicit assumption when talking about transitory and stabilizing +% modes. That our model is correct. This might not be true + +% In the case of a failure, our model will almost certainly be incorrect. For +% this, we have to build safe shutdown modes too, since a human won't be in the +% loop to shut things down. +% +% MATHEMATICAL FORMULATION: +% Control objective: reach(X_current) → reach(X_safe_shutdown) under parameter uncertainty +% where X_current may be anywhere in X (worst-case entry conditions) +% Dynamics have parametric uncertainty: f(x,u,θ) where θ ∈ Θ_failure +% +% VERIFICATION: Parametric reachability analysis with robustness margins +% Reach(X_current, f(x,u,θ), T) ⊆ X_safe_shutdown for all θ ∈ Θ_failure +% Conservative bounds on Θ_failure come from FMEA/traditional safety analysis + +% WE can detect physical failures exist because our physical controllers have +% previously been proven as correct by reachability and barrier certificates. We +% KNOW our controller cannot be incorrect for the plant, so if an invariant is +% violated, we KNOW it's the plant that has changed. +% Q: What about sensor failures (wrong readings vs actual plant failure)? +% Q: What about unmodeled disturbances that aren't failures? +% Q: What if model uncertainty was too optimistic to begin with? +% Need to be more precise about what "model failure" means and detect-ability. + +% We do this using continuous modes that shutdown the system, and using +% reachability analysis with parametric uncertainty, we can prove for a range of +% error conditions we can maintain safe shutdown. +% Q: How much parametric uncertainty is enough? How do we determine bounds for +% worst-case failure dynamics? Need methodology for this. + +%%%%%%%%%%%% Implementation with industrial partnerships +%%%%%%% Emerson +%talk about this +% ovation system +% scenic? Is that what they call it? +% ripe partnership with Westinghouse +% Likely build a model with a ccng plant. They already have sophisticated models +% of them +% build controller with simplified model, then test with high fidelity digital +% twin + + + + +% +%%%%%%%%%% diff --git a/4-metrics-of-success/v1.tex b/4-metrics-of-success/v1.tex new file mode 100644 index 0000000..74956ce --- /dev/null +++ b/4-metrics-of-success/v1.tex @@ -0,0 +1,88 @@ +\section{Metrics for Success} + +This research will be measured by advancement through Technology Readiness +Levels, progressing from fundamental concepts to validated prototype +demonstration. This work begins at TRL 2--3 and aims to reach TRL 5, where +system components operate successfully in a relevant laboratory environment. +This section explains why TRL advancement provides the most appropriate success +metric and defines the specific criteria required to achieve TRL 5. + +Technology Readiness Levels provide the ideal success metric because they +explicitly measure the gap between academic proof-of-concept and practical +deployment---precisely what this work aims to bridge. Academic metrics like +papers published or theorems proved cannot capture practical feasibility. +Empirical metrics like simulation accuracy or computational speed cannot +demonstrate theoretical rigor. TRLs measure both dimensions simultaneously. +Advancing from TRL 3 to TRL 5 requires maintaining theoretical rigor while +progressively demonstrating practical feasibility. Formal verification must +remain valid as the system moves from individual components to integrated +hardware testing. + +The nuclear industry requires extremely high assurance before deploying new +control technologies. Demonstrating theoretical correctness alone is +insufficient for adoption; conversely, showing empirical performance without +formal guarantees fails to meet regulatory requirements. TRLs capture this dual +requirement naturally. Each level represents both increased practical maturity +and sustained theoretical validity. Furthermore, TRL assessment forces explicit +identification of remaining barriers to deployment. The nuclear industry already +uses TRLs for technology assessment, making this metric directly relevant to +potential adopters. Reaching TRL 5 provides a clear answer to industry questions +about feasibility and maturity that academic publications alone cannot. + +Moving from current state to target requires achieving three intermediate +levels, each representing a distinct validation milestone: + +\paragraph{TRL 3 \textit{Critical Function and Proof of Concept}} + +For this research, TRL 3 means demonstrating that each component of the +methodology works in isolation. Startup procedures must be translated into +temporal logic specifications that pass realizability analysis. A discrete +automaton must be synthesized with interpretable structure. At least one +continuous controller must be designed with reachability analysis proving +transition requirements are satisfied. Independent review must confirm that +specifications match intended procedural behavior. This proves the fundamental +approach on a simplified startup sequence. + +\paragraph{TRL 4 \textit{Laboratory Testing of Integrated Components}} + +For this research, TRL 4 means demonstrating a complete integrated hybrid +controller in simulation. All startup procedures must be formalized with a +synthesized automaton covering all operational modes. Continuous controllers +must exist for all discrete modes. Verification must be complete for all mode +transitions using reachability analysis, barrier certificates, and +assume-guarantee contracts. The integrated controller must execute complete +startup sequences in software simulation with zero safety violations across +multiple consecutive runs. This proves that formal correctness guarantees can be +maintained throughout system integration. + +\paragraph{TRL 5 \textit{Laboratory Testing in Relevant Environment}} + +For this research, TRL 5 means demonstrating the verified controller on +industrial control hardware through hardware-in-the-loop testing. The discrete +automaton must be implemented on the Emerson Ovation control system and verified +to match synthesized specifications exactly. Continuous controllers must execute +at required rates. The ARCADE interface must establish stable real-time +communication between the Emerson Ovation hardware and SmAHTR simulation. +Complete autonomous startup sequences must execute via hardware-in-the-loop +across the full operational envelope. The controller must handle off-nominal +scenarios to validate that expulsory modes function correctly. For example, +simulated sensor failures must trigger appropriate fault detection and mode +transitions, and loss-of-cooling scenarios must activate SCRAM procedures as +specified. Graded responses to minor disturbances are outside this work's scope. +Formal verification results must remain valid, with discrete behavior matching +specifications and continuous trajectories remaining within verified bounds. +This proves that the methodology produces verified controllers implementable on +industrial hardware. + +Progress will be assessed quarterly through collection of specific data +comparing actual results against TRL advancement criteria. Specification +development status indicates progress toward TRL 3. Synthesis results and +verification coverage indicate progress toward TRL 4. Simulation performance +metrics and hardware integration milestones indicate progress toward TRL 5. The +research plan will be revised only when new data invalidates fundamental +assumptions. This research succeeds if it achieves TRL 5 by demonstrating a +complete autonomous hybrid controller with formal correctness guarantees +operating on industrial control hardware through hardware-in-the-loop testing in +a relevant laboratory environment. This establishes both theoretical validity +and practical feasibility, proving that the methodology produces verified +controllers and that implementation is achievable with current technology. diff --git a/5-risks-and-contingencies/assumptions.md b/5-risks-and-contingencies/assumptions.md new file mode 100644 index 0000000..f7ee3d9 --- /dev/null +++ b/5-risks-and-contingencies/assumptions.md @@ -0,0 +1,67 @@ +# Risk and Contingencies Assumptions Exercise + +**The outcome I want to achieve is?** +- Turn written reqs into discrete controller +- Build continuous modes that ensure hybrid stability +- Implement on industrial controller with HIL simulation + +**What can't anyone solve this today?** +- Nobody has tried to build system like this with stability + in mind from the ground up. NUCE is a specific domain this + is useful. Reliance on human operators for safety. + +**The research approach I am using is?** +- Formal Methods + Control Theory +- FRET - Reachability +- Reactive Synthesis + +**This research approach relies on these fundamental +principles?** +- Temporal logic precision +- automata +- differential and difference equations +- procedure writing + +**The experiment that I will perform is?** +- trying to make an autonomous start up procedure for a +SmAHTR reactor + +**The equipment I will use is?** +1. FRET +2. STRIX +3. Simulink +4. Reachability tools +5. Ovation + +**I will analyze the results using?** +1. Prose. How hard was this to do, what MacGuyvering needed + done? What TRL? + +**The expected outcome of this experiment is?** +1. A working autonomous start up controller can take a + simulation from cold to critical without needing a human + operator to intervene. + +**What happens if this experiment does not work?** +1. We'll shift to a smaller, simpler problem where we can + overcome the limits. + +**What happens if the hypothesis or prediction is false?** +1. We'll show the gap between current procedure writing and + where we need to be to actually do synthesis. + +**What assumptions do I have that, if proven wrong, would +derail this project?** +1. Temporal logic from FRET is easy to synthesize with STRIX +2. I'm not going to have state-space explosion happen +3. Writing a start-up procedure for SmAHTR isn't that hard +4. People give a crap about molten salt reactors +5. This whole discrete boundary thing is not going to be + really hard to implement. The idea is conditions for the + transitions between modes to be boolean variables for +the temporal lgoic, but that they correspond to some surface +in the continuous state space. How am I going to keep track +of that? +6. Computational cost. Center for Research Computing is the + answer. + diff --git a/5-risks-and-contingencies/v1.tex b/5-risks-and-contingencies/v1.tex new file mode 100644 index 0000000..ea75d0e --- /dev/null +++ b/5-risks-and-contingencies/v1.tex @@ -0,0 +1,158 @@ +\section{Risks and Contingencies} + +This research relies on several critical assumptions that, if invalidated, would +require scope adjustment or methodological revision. The primary risks to +successful completion fall into four categories: computational tractability of +synthesis and verification, complexity of the discrete-continuous interface, +completeness of procedure formalization, and hardware-in-the-loop integration +challenges. Each risk has associated indicators for early detection and +contingency plans that preserve research value even if core assumptions prove +false. The staged project structure ensures that partial success yields +publishable results and clear identification of remaining barriers to +deployment. + +\subsection{Computational Tractability of Synthesis} + +The first major assumption is that formalized startup procedures will yield +automata small enough for efficient synthesis and verification. Reactive +synthesis scales exponentially with specification complexity, creating risk that +temporal logic specifications derived from complete startup procedures may +produce automata with thousands of states. Such large automata would require +synthesis times exceeding days or weeks, preventing demonstration of the +complete methodology within project timelines. Reachability analysis for +continuous modes with high-dimensional state spaces may similarly prove +computationally intractable. Either barrier would constitute a fundamental +obstacle to achieving the research objectives. + +Several indicators would provide early warning of computational tractability +problems. Synthesis times exceeding 24 hours for simplified procedure subsets +would suggest complete procedures are intractable. Generated automata containing +more than 1,000 discrete states would indicate the discrete state space is too +large for efficient verification. Specifications flagged as unrealizable by FRET +or Strix would reveal fundamental conflicts in the formalized procedures. +Reachability analysis failing to converge within reasonable time bounds would +show that continuous mode verification cannot be completed with available +computational resources. + +The contingency plan for computational intractability is to reduce scope to a +minimal viable startup sequence. This reduced sequence would cover only cold +shutdown to criticality to low-power hold, omitting power ascension and other +operational phases. The subset would still demonstrate the complete methodology +while reducing computational burden. The research contribution would remain +valid even with reduced scope, proving that formal hybrid control synthesis is +achievable for safety-critical nuclear applications. The limitation to +simplified operational sequences would be explicitly documented as a constraint +rather than a failure. + +\subsection{Discrete-Continuous Interface Formalization} + +The second critical assumption concerns the mapping between boolean guard +conditions in temporal logic and continuous state boundaries required for mode +transitions. This interface represents the fundamental challenge of hybrid +systems: relating discrete switching logic to continuous dynamics. Temporal +logic operates on boolean predicates, while continuous control requires +reasoning about differential equations and reachable sets. Guard conditions +requiring complex nonlinear predicates may resist boolean abstraction, making +synthesis intractable. Continuous safety regions that cannot be expressed as +conjunctions of verifiable constraints would similarly create insurmountable +verification challenges. The risk extends beyond static interface definition to +dynamic behavior across transitions: barrier certificates may fail to exist for +proposed transitions, or continuous modes may be unable to guarantee convergence +to discrete transition boundaries. + +Early indicators of interface formalization problems would appear during both +synthesis and verification phases. Guard conditions requiring complex nonlinear +predicates that resist boolean abstraction would suggest fundamental misalignment +between discrete specifications and continuous realities. Continuous safety +regions that cannot be expressed as conjunctions of half-spaces or polynomial +inequalities would indicate the interface between discrete guards and continuous +invariants is too complex. Failure to construct barrier certificates proving +safety across mode transitions would reveal that continuous dynamics cannot be +formally related to discrete switching logic. Reachability analysis showing that +continuous modes cannot reach intended transition boundaries from all possible +initial conditions would demonstrate the synthesized discrete controller is +incompatible with achievable continuous behavior. + +The primary contingency for interface complexity is restricting continuous modes +to operate within polytopic invariants. Polytopes are state regions defined as +intersections of linear half-spaces, which map directly to boolean predicates +through linear inequality checks. This restriction ensures tractable synthesis +while maintaining theoretical rigor, though at the cost of limiting +expressiveness compared to arbitrary nonlinear regions. The discrete-continuous +interface remains well-defined and verifiable with polytopic restrictions, +providing a clear fallback position that preserves the core methodology. +Conservative over-approximations offer an alternative approach: a nonlinear safe +region can be inner-approximated by a polytope, sacrificing operational +flexibility to maintain formal guarantees. The three-mode classification already +structures the problem to minimize complex transitions, with critical safety +properties concentrated in expulsory modes that can receive additional design +attention. + +Mitigation strategies focus on designing continuous controllers with discrete +transitions as primary objectives from the outset. Rather than designing +continuous control laws independently and verifying transitions post-hoc, the +approach uses transition requirements as design constraints. Control barrier +functions provide a systematic method to synthesize controllers that guarantee +forward invariance of safe sets and convergence to transition boundaries. This +design-for-verification approach reduces the likelihood that interface +complexity becomes insurmountable. Focusing verification effort on expulsory +modes---where safety is most critical---allows more complex analysis to be +applied selectively rather than uniformly across all modes, concentrating +computational resources where they matter most for safety assurance. + +\subsection{Procedure Formalization Completeness} + +The third assumption is that existing startup procedures contain sufficient +detail and clarity for translation into temporal logic specifications. Nuclear +operating procedures, while extensively detailed, were written for human +operators who bring contextual understanding and adaptive reasoning to their +interpretation. Procedures may contain implicit knowledge, ambiguous directives, +or references to operator judgment that resist formalization in current +specification languages. Underspecified timing constraints, ambiguous condition +definitions, or gaps in operational coverage would cause synthesis to fail or +produce incorrect automata. The risk is not merely that formalization is +difficult, but that current procedures fundamentally lack the precision required +for autonomous control, revealing a gap between human-oriented documentation and +machine-executable specifications. + +Several indicators would reveal formalization completeness problems early in the +project. FRET realizability checks failing due to underspecified behaviors or +conflicting requirements would indicate procedures do not form a complete +specification. Multiple valid interpretations of procedural steps with no clear +resolution would demonstrate procedure language is insufficiently precise for +automated synthesis. Procedures referencing ``operator judgment,'' ``as +appropriate,'' or similar discretionary language for critical decisions would +explicitly identify points where human reasoning cannot be directly formalized. +Domain experts unable to provide crisp answers to specification questions about +edge cases would suggest the procedures themselves do not fully define system +behavior, relying instead on operator training and experience to fill gaps. + +The contingency plan treats inadequate specification as itself a research +contribution rather than a project failure. Documenting specific ambiguities +encountered would create a taxonomy of formalization barriers: timing +underspecification, missing preconditions, discretionary actions, and undefined +failure modes. Each category would be analyzed to understand why current +procedure-writing practices produce these gaps and what specification languages +would need to address them. Proposed extensions to FRETish or similar +specification languages would demonstrate how to bridge the gap between current +procedures and the precision needed for autonomous control. The research output +would shift from ``here is a complete autonomous controller'' to ``here is what +formal autonomous control requires that current procedures do not provide, and +here are language extensions to bridge that gap.'' This contribution remains +valuable to both the nuclear industry and formal methods community, establishing +clear requirements for next-generation procedure development and autonomous +control specification languages. + +Early-stage procedure analysis with domain experts provides the primary +mitigation strategy. Collaboration through the University of Pittsburgh Cyber +Energy Center enables identification and resolution of ambiguities before +synthesis attempts, rather than discovering them during failed synthesis runs. +Iterative refinement with reactor operators and control engineers can clarify +procedural intent before formalization begins, reducing the risk of discovering +insurmountable specification gaps late in the project. Comparison with +procedures from multiple reactor designs---pressurized water reactors, boiling +water reactors, and advanced designs---may reveal common patterns and standard +ambiguities amenable to systematic resolution. This cross-design analysis would +strengthen the generalizability of any proposed specification language +extensions, ensuring they address industry-wide practices rather than specific +quirks. diff --git a/6-broader-impacts/v1.tex b/6-broader-impacts/v1.tex new file mode 100644 index 0000000..6d75f42 --- /dev/null +++ b/6-broader-impacts/v1.tex @@ -0,0 +1,71 @@ +\section{Broader Impacts} + +Nuclear power presents both a compelling application domain and an urgent +economic challenge. Recent interest in powering artificial intelligence +infrastructure has renewed focus on small modular reactors (SMRs), particularly +for hyperscale datacenters requiring hundreds of megawatts of continuous power. +Deploying SMRs at datacenter sites would minimize transmission losses and +eliminate emissions from hydrocarbon-based alternatives. However, nuclear power +economics at this scale demand careful attention to operating costs. + +According to the U.S. Energy Information Administration's Annual Energy Outlook +2022, advanced nuclear power entering service in 2027 is projected to cost +\$88.24 per megawatt-hour~\cite{eia_lcoe_2022}. Datacenter electricity demand is +projected to reach 1,050 terawatt-hours annually by +2030~\cite{eesi_datacenter_2024}. If this demand were supplied by nuclear power, +the total annual cost of power generation would exceed \$92 billion. Within this +figure, operations and maintenance represents a substantial component. The EIA +estimates that fixed O\&M costs alone account for \$16.15 per megawatt-hour, +with additional variable O\&M costs embedded in fuel and operating +expenses~\cite{eia_lcoe_2022}. Combined, O\&M-related costs represent +approximately 23--30\% of the total levelized cost of electricity, translating +to \$21--28 billion annually for projected datacenter demand. + +This research directly addresses the multi-billion-dollar O\&M cost challenge +through high-assurance autonomous control. Current nuclear operations require +full control room staffing for each reactor, whether large conventional units or +small modular designs. These staffing requirements drive the high O\&M costs +that make nuclear power economically challenging, particularly for smaller +reactor designs where the same staffing overhead must be spread across lower +power output. Synthesizing provably correct hybrid controllers from formal +specifications can automate routine operational sequences that currently require +constant human oversight. This enables a fundamental shift from direct operator +control to supervisory monitoring, where operators oversee multiple autonomous +reactors rather than manually controlling individual units. + +The correct-by-construction methodology is critical for this transition. +Traditional automation approaches cannot provide sufficient safety guarantees +for nuclear applications, where regulatory requirements and public safety +concerns demand the highest levels of assurance. Formally verifying both the +discrete mode-switching logic and the continuous control behavior, this research +will produce controllers with mathematical proofs of correctness. These +guarantees enable automation to safely handle routine operations---startup +sequences, power level changes, and normal operational transitions---that +currently require human operators to follow written procedures. Operators will +remain in supervisory roles to handle off-normal conditions and provide +authorization for major operational changes, but the routine cognitive burden of +procedure execution shifts to provably correct automated systems that are much +cheaper to operate. + +SMRs represent an ideal deployment target for this technology. Nuclear +Regulatory Commission certification requires extensive documentation of control +procedures, operational requirements, and safety analyses written in structured +natural language. As described in our approach, these regulatory documents can +be translated into temporal logic specifications using tools like FRET, then +synthesized into discrete switching logic using reactive synthesis tools, and +finally verified using reachability analysis and barrier certificates for the +continuous control modes. The infrastructure of requirements and specifications +already exists as part of the licensing process, creating a direct pathway from +existing regulatory documentation to formally verified autonomous controllers. + +Beyond reducing operating costs for new reactors, this research will establish a +generalizable framework for autonomous control of safety-critical systems. The +methodology of translating operational procedures into formal specifications, +synthesizing discrete switching logic, and verifying continuous mode behavior +applies to any hybrid system with documented operational requirements. Potential +applications include chemical process control, aerospace systems, and autonomous +transportation, where similar economic and safety considerations favor increased +autonomy with provable correctness guarantees. Demonstrating this approach in +nuclear power---one of the most regulated and safety-critical domains---will +establish both the technical feasibility and regulatory pathway for broader +adoption across critical infrastructure. diff --git a/8-schedule/v1.tex b/8-schedule/v1.tex new file mode 100644 index 0000000..415f6e8 --- /dev/null +++ b/8-schedule/v1.tex @@ -0,0 +1,96 @@ +\section{Schedule, Milestones, and Deliverables} + +This research will be conducted over six trimesters (24 months) of full-time +effort following the proposal defense in Spring 2026. The work progresses +sequentially through three main research thrusts before culminating in +integrated demonstration and validation. + +The first semester (Spring 2026) focuses on Thrust 1, translating startup +procedures into formal temporal logic specifications using FRET. This +establishes the foundation for automated synthesis by converting natural +language procedures into machine-readable requirements. The second semester +(Summer 2026) addresses Thrust 2, using Strix to synthesize the discrete +automaton that defines mode-switching behavior. With the discrete structure +established, the third semester (Fall 2026) develops the continuous controllers +for each operational mode through Thrust 3, employing reachability analysis and +barrier certificates to verify that each mode satisfies its transition +requirements. Integration and validation occupy the remaining three semesters. + +Figure \ref{fig:gantt} shows the complete project schedule including research thrusts, major milestones, and planned publications. + +\begin{figure}[htbp] + \centering + \begin{ganttchart}[ + hgrid, + vgrid={*{4}{draw=none}, dotted}, + x unit=0.4cm, + y unit title=0.6cm, + y unit chart=0.4cm, + title/.append style={fill=gray!30}, + title height=1, + bar/.append style={fill=blue!50}, + bar height=0.5, + bar label font=\small, + milestone/.append style={fill=red, shape=diamond}, + milestone height=0.5 + ]{1}{24} + + % Timeline headers + \gantttitle{2026}{12} + \gantttitle{2027}{12} \\ + \gantttitle{Spring}{4} + \gantttitle{Summer}{4} + \gantttitle{Fall}{4} + \gantttitle{Spring}{4} + \gantttitle{Summer}{4} + \gantttitle{Fall}{4} \\ + + % Major thrusts + \ganttbar{Thrust 1: Procedure Translation}{1}{5} \\ + \ganttbar{Thrust 2: Discrete Synthesis}{4}{10} \\ + \ganttbar{Thrust 3: Continuous Control}{9}{15} \\ + \ganttbar{Integration \& Simulation (TRL 4)}{13}{17} \\ + \ganttbar{Hardware-in-Loop Testing (TRL 5)}{16}{21} \\ + \ganttbar{Dissertation Writing}{18}{24} \\[grid] + + % Milestones row + \ganttbar[bar/.append style={fill=orange!50}]{Milestones}{1}{24} + \ganttmilestone{}{4} + \ganttmilestone{}{8} + \ganttmilestone{}{12} + \ganttmilestone{}{16} + \ganttmilestone{}{20} + \ganttmilestone{}{24} \\ + + % Publications row + \ganttbar[bar/.append style={fill=green!50}]{Publications}{1}{24} + \ganttmilestone{}{8} + \ganttmilestone{}{16} + \ganttmilestone{}{20} + + \end{ganttchart} + \caption{Project schedule showing major research thrusts, milestones (orange row), and publications (green row). Red diamonds indicate completion points. Overlapping bars indicate parallel work where appropriate.} + \label{fig:gantt} +\end{figure} + +\subsection{Milestones and Deliverables} + +Six major milestones mark critical validation points throughout the research. M1 +(Month 4) confirms that startup procedures have been successfully translated to +temporal logic using FRET with realizability analysis demonstrating consistent +and complete specifications. M2 (Month 8) validates computational tractability +by demonstrating that Strix can synthesize a complete discrete automaton from +the formalized specifications. This milestone delivers a conference paper +submission to NPIC\&HMIT documenting the procedure-to-specification translation +methodology. M3 (Month 12) achieves TRL 3 by proving that continuous controllers +can be designed and verified to satisfy discrete transition requirements. This +milestone delivers an internal technical report demonstrating component-level +verification. M4 (Month 16) achieves TRL 4 through integrated simulation +demonstrating that component-level correctness composes to system-level +correctness. This milestone delivers a journal paper submission to IEEE +Transactions on Automatic Control presenting the complete hybrid synthesis +methodology. M5 (Month 20) achieves TRL 5 by demonstrating practical +implementability on industrial hardware. This milestone delivers a conference +paper submission to NPIC\&HMIT or CDC documenting hardware implementation and +experimental validation. M6 (Month 24) completes the dissertation documenting +the entire methodology, experimental results, and research contributions. diff --git a/CLAUDE.md b/CLAUDE.md new file mode 100644 index 0000000..5f4c440 --- /dev/null +++ b/CLAUDE.md @@ -0,0 +1,133 @@ +# CLAUDE.md + +This file provides guidance to Claude Code (claude.ai/code) when working with code in this repository. + +## Project Overview + +This is a PhD thesis proposal for developing a methodology to build High-Assurance Hybrid Autonomous Control Systems (HAHACS) for critical infrastructure. The proposal is titled "From Cold Start to Critical: Formal Synthesis of Autonomous Hybrid Controllers." + +**Intellectual Merit**: The contribution is architectural unification rather than algorithmic novelty. The methodology provides a systematic decomposition mapping verification techniques to control mode types, composing existing formal methods into a complete framework where none existed. + +**Key Insight**: The methodology formalizes EXISTING discrete abstractions from operating procedures (especially nuclear) rather than imposing arbitrary ones. Operating procedures already define go/no-go conditions as discrete predicates - this work provides the formalization and verification framework. + +## Document Structure + +The proposal uses a modular LaTeX structure with numbered section directories: +- `main.tex` - Root document that inputs all sections +- `1-goals-and-outcomes/` - Research statement and goals +- `2-state-of-the-art/` - Literature review +- `3-research-approach/` - Core methodology (CURRENTLY ACTIVE WORK) +- `4-metrics-of-success/` - Success criteria +- `5-risks-and-contingencies/` - Risk analysis +- `6-broader-impacts/` - Broader impacts +- `8-schedule/` - Timeline + +Each section directory contains: +- `v1.tex` (or `v2.tex` for actively revised sections) - Main content +- `outline.md` (optional) - Planning notes and structure + +**IMPORTANT**: Section 3 (research-approach) is currently being revised. `main.tex` inputs `v2.tex` for this section, which contains extensive inline comments and questions prefixed with `%` and `% Q:`. + +## Building the Document + +```bash +# Full build with bibliography +pdflatex main.tex +bibtex main +pdflatex main.tex +pdflatex main.tex + +# Quick build (no bibliography updates) +pdflatex main.tex + +# Use latexmk for automated builds +latexmk -pdf main.tex + +# Clean auxiliary files +latexmk -c +``` + +The output is `main.pdf`. + +## Key Technical Concepts + +### Mathematical Notation +- **Continuous state space**: X ⊆ ℝⁿ +- **Discrete modes**: Q = {q₁, q₂, ...} +- **Per-mode continuous regions**: X_entry,i, X_exit,i, X_safe,i +- **Discrete predicates**: pᵢ: X → {true, false} (Boolean functions over continuous state) + +### Three Control Mode Types +Each mode type has distinct control objectives and verification methods: + +1. **Transitory modes**: Transition between discrete states + - Objective: reach(X_entry) → reach(X_exit) while maintaining x(t) ∈ X_safe + - Verification: Reachability analysis + - Formal: Reach(X_entry, f(x,u), T) ⊆ X_exit ∪ X_safe + +2. **Stabilizing modes**: Maintain steady state + - Objective: remain(X_target) where X_target ⊂ X_safe + - Verification: Barrier certificates + - Formal: ∇B(x)·f(x,u) ≤ 0 on boundary ∂X_safe + +3. **Expulsory modes**: Safe shutdown under failures + - Objective: reach(X_current) → reach(X_safe_shutdown) under parametric uncertainty + - Verification: Parametric robust reachability + - Formal: Reach(X_current, f(x,u,θ), T) ⊆ X_safe_shutdown for all θ ∈ Θ_failure + +### Scope Boundaries +- **Verify** continuous controllers, not **synthesize** them (analogous to model checking) +- Assume controllers can be designed using standard control theory +- Contribution is verification that candidate controllers compose correctly with discrete layer + +## Active Development Context + +### Current Focus (as of 2026-01-26) +Editing the research approach section (`3-research-approach/v2.tex`) with a Wednesday (2026-01-28) draft deadline. + +### Open Technical Questions +Questions are embedded in `v2.tex` comments. Key unresolved issues: + +**Easier to address:** +- Hysteresis and sensor noise handling (standard control theory) +- Mealy machine formalization (presentation issue) +- Failure detection scope boundaries (precision in claims) + +**More challenging:** +- Timing constraint verification (timed automata integration) +- Parametric uncertainty bounds methodology +- Numerical precision in discrete abstraction (task 36 in taskwarrior) +- Controller design gap (scope vulnerability) + +### Taskwarrior Integration +The user tracks tasks in taskwarrior. The Thesis project has ~45 tasks including: +- 9 writing tasks for research approach sections (due 2026-01-28) +- Multiple reading tasks on hybrid systems, reachability, formal methods +- Outstanding question (task 36): "How do we handle numerical barriers when creating discrete automata?" + +Use `task list project:Thesis` to see current tasks. + +## Bibliography + +References are in `references.bib` using IEEE transaction format. The bibliography includes: +- Hybrid systems theory and verification +- Formal methods (reactive synthesis, temporal logic) +- Control theory (reachability, barrier certificates) +- Nuclear regulatory documents (NUREG, 10 CFR) +- Industrial control systems + +## Custom LaTeX Class + +`dane_proposal_format.cls` provides: +- NSF-compliant formatting (Times New Roman, 1" margins) +- Custom `\task{title}{description}` command for numbered tasks +- TikZ libraries for diagrams +- Table and figure formatting +- Default metadata (title, author, advisor) + +## Writing Style Notes + +- Inline comments in `.tex` files starting with `%` are working notes +- Comments with `% Q:` indicate open questions requiring research/decisions +- Sections marked with `\iffalse ... \fi` are draft text, not compiled +- Text after `\iffalse` blocks are outlines/notes for future writing diff --git a/ERLM_Request_for_Proposals.pdf b/ERLM_Request_for_Proposals.pdf new file mode 100644 index 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