From 0469a20b240f13e3183642945de7017a509f7e89 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Mon, 8 Sep 2025 00:01:05 -0400 Subject: [PATCH] Auto sync: 2025-09-08 00:01:05 (13 files changed) A Writing/ERLM/GOv2.pdf M Writing/ERLM/dane_proposal_format.cls M Writing/ERLM/goals-and-outcomes/v3.tex A Writing/ERLM/goals-and-outcomes/v4.tex M Writing/ERLM/main.aux M Writing/ERLM/main.fdb_latexmk M Writing/ERLM/main.fls M Writing/ERLM/main.log --- Writing/ERLM/GOv2.pdf | Bin 0 -> 36357 bytes Writing/ERLM/dane_proposal_format.cls | 4 +- Writing/ERLM/goals-and-outcomes/v3.tex | 2 +- Writing/ERLM/goals-and-outcomes/v4.tex | 91 ++++++++++++++++++++++++ Writing/ERLM/main.aux | 5 +- Writing/ERLM/main.fdb_latexmk | 28 +++++--- Writing/ERLM/main.fls | 21 ++++-- Writing/ERLM/main.log | 46 +++++++----- Writing/ERLM/main.pdf | Bin 31255 -> 36357 bytes Writing/ERLM/main.synctex.gz | Bin 19633 -> 35446 bytes Writing/ERLM/main.tex | 3 + Writing/Journal/JRNL-20250905-115329.md | 47 ++++++++++++ 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-\PassOptionsToClass{12pt,titlepage}{article} +\PassOptionsToClass{10pt,titlepage}{article} \LoadClass{article} % Core packages @@ -14,7 +14,7 @@ % Uncomment ONE of the following font options: % \RequirePackage{mathptmx} % Times New Roman (11pt minimum) % \RequirePackage{mathpazo} % Palatino (10pt minimum) -\RequirePackage{helvet}\renewcommand{\familydefault}{\sfdefault} % Arial (10pt minimum) + \RequirePackage{helvet}\renewcommand{\familydefault}{\sfdefault} % Arial (10pt minimum) % Default: Computer Modern (11pt minimum) - current 12pt is compliant % Document formatting diff --git a/Writing/ERLM/goals-and-outcomes/v3.tex b/Writing/ERLM/goals-and-outcomes/v3.tex index 347a721c..1c5ce028 100644 --- a/Writing/ERLM/goals-and-outcomes/v3.tex +++ b/Writing/ERLM/goals-and-outcomes/v3.tex @@ -1,4 +1,4 @@ -\section{Goals and Outcomes} +\section{Goals and Outcomes - ORIGINAL} The goal of this research is to use formal methods to create high-assurance hybrid control systems. Hybrid control systems have great potential for diff --git a/Writing/ERLM/goals-and-outcomes/v4.tex b/Writing/ERLM/goals-and-outcomes/v4.tex new file mode 100644 index 00000000..52455425 --- /dev/null +++ b/Writing/ERLM/goals-and-outcomes/v4.tex @@ -0,0 +1,91 @@ +\section{Goals and Outcomes - REVISED} + +The goal of this research is to develop a unified framework combining temporal +logic synthesis with continuous-time verification methods to create autonomous +hybrid control systems with complete correctness guarantees. Hybrid control +systems have great potential for autonomous control applications because they +can switch between different control laws based on discrete triggers in the +system's operating range. This approach allows autonomous controllers to use +several tractable control laws optimized for different regions in the state +space, rather than relying on a single controller across the entire operating +range. But, the discrete transitions between control laws in hybrid controllers +present significant challenges in proving stability and liveness properties for +the complete system. While tools from control theory can establish properties +for individual control modes, these guarantees do not generalize when mode +switching is introduced. Conversely, significant advances in formal methods have +enabled automatic synthesis of discrete controllers from temporal logic +specifications—tools like Strix can generate provably correct switching logic +for complex logical requirements. However, these synthesis approaches assume +instantaneous mode transitions and operate purely in discrete state spaces. In +hybrid systems, transitions occur along continuous trajectories governed by +differential equations, creating a fundamental verification gap that neither +purely discrete synthesis nor traditional control theory can address alone. + +This research addresses a fundamental challenge in hybrid controller synthesis +and verification by unifying discrete system synthesis with continuous system +analysis. We will leverage formal methods to create controllers that are +correct-by-construction, enabling guarantees about the complete system's +behavior. To demonstrate this approach, we will develop an autonomous controller +for nuclear power plant start-up procedures. Nuclear power represents an +excellent test case because the continuous reactor dynamics are well-studied, +while the discrete mode switching requirements are explicitly defined in +regulatory procedures and operating guidelines. Current nuclear reactor control +\textit{is} already a hybrid system. For example, during reactor startup, +operators must transition from initial cold conditions through controlled +heating phases to predetermined power levels. Each phase employs different +automated controllers: temperature ramp controllers during heatup, reactivity +controllers approaching criticality, and load-following controllers during +operation. The decision of when to switch between these controllers currently +relies on human operators interpreting written procedures. Our approach would +formalize such transition conditions and synthesize the switching logic +automatically. + +The capability to create high-assurance hybrid control systems has significant +potential to reduce labor costs in operating critical systems by removing human +operators from control loops. Nuclear power stands to benefit substantially from +increased controller autonomy, as operations and maintenance represent the +largest expense for current reactor designs. While emerging technologies such as +microreactors and small modular reactors will reduce maintenance costs through +factory-manufactured replacement components, they face increased per-megawatt +operating costs if required to maintain traditional staffing levels. However, if +increased autonomy can be safely introduced, these economic challenges can be +addressed while maintaining safety standards. + +If this research is successful, we will achieve the following outcomes: + +\begin{enumerate} + + \item + \textbf{Formalize mode switching requirements as logical specifications that + can be synthesized into discrete controller implementations.} The discrete + transitions between continuous controller modes are often explicitly defined + in operating procedures and regulatory requirements for critical systems. + These natural language requirements will be translated into temporal logic + specifications, which will then be synthesized into provably correct + discrete controllers for continuous mode switching. + + \item + \textbf{Develop and verify formal characterizations of hybrid mode + dynamics and safety conditions.} We will establish mathematical frameworks + distinguishing transitory modes with reachability requirements to target + states from stabilizing modes with invariant maintenance properties. For + linear dynamics, classical control theory will establish stability and + performance within each mode. For nonlinear systems, reachability analysis + will verify that transitory modes drive the system toward intended + transitions while maintaining safety constraints, and that stabilizing modes + preserve their designated operating regions. This unified approach will + enable provable conditions for safe state space traversal and transition + timing. + + \item + \textbf{Prove that hybrid system implementations achieve safety and + performance specifications across operational mode sequences.} By + synthesizing discrete controller transitions from logical specifications + using correct-by-construction methods and verifying that continuous + components perform appropriately between discrete transitions, we can + establish mathematical guarantees that the hybrid system maintains safety + constraints and meets performance requirements during autonomous operational + sequences such as reactor startup procedures, where multiple control modes + must be coordinated to achieve higher-level operational objectives. + +\end{enumerate} diff --git a/Writing/ERLM/main.aux b/Writing/ERLM/main.aux index 2e8c5c74..3fd9047e 100644 --- a/Writing/ERLM/main.aux +++ b/Writing/ERLM/main.aux @@ -1,6 +1,7 @@ \relax \bibstyle{unsrt} \providecommand 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