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

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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

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}

Writing/ERLM/main.aux

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+\@writefile{toc}{\contentsline {section}{\numberline {1}Goals and Outcomes - ORIGINAL}{1}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {2}Goals and Outcomes - REVISED}{2}{}\protected@file@percent }
 \bibdata{references}
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Writing/ERLM/main.tex

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Writing/Journal/JRNL-20250905-115329.md

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+---
+id: JRNL-20250905-115329
+title: Friday, September 05, 2025 - 11:53 AM
+type: journal
+created: 2025-09-05T15:53:29Z
+modified: 2025-09-05T15:53:29Z
+tags: [journal]
+---
+
+# Friday, September 05, 2025 - 11:53 AM
+
+Similar to yesterday, I'm actually writing for mostly
+yesterday.
+
+The football game at Andrew's was fun! I had a generally
+good time being there, but was also so tired at points I
+started to get really kinda bored. Mithin was there, and it
+was good to see him. He's a good guy. Julia also invited a
+friend, Kyra, who went through a breakup literally the day
+before. That sounds rough. Julia mentioned it must be
+breakup season.
+
+Before that, I saw Logan and we got a drink at Hitchhiker.
+It was so nice to see him, and honestly so much more relaxed
+than when we went to Jolina 2's. He's doing really well.
+He's looking for new jobs because he doesn't love his
+current gig. Him and Helena ARE dating, and just hit one
+year. We're going to go do some autocross together in the
+next couple weeks and I'm inviting him to the
+cosyracingcommunity, as he's been doing some sim racing
+lately. I'm going to bring my sim rig back from the
+grandparents and set it up. It'll be fun to play together
+perhaps! I've got to check if Assetto Corsa will run on
+Linux... I hope so. Some quick googling shows that it works!
+With some finagling, but also cosy looks dead... Maybe it's
+iRacing time. Maybe some other league... We'll see what
+Logan's got going on.
+
+But today is Friday, and I haven't gotten a lot of work done
+either. I've got to get a handle on that, but at least I
+went for a walk today! And today I'm getting my haircut.
+
+I also got my new glasses. They see much much better!
+
+I am crippled by lust though. In my weakness right now I'm
+thinking about texting Alexa. That is such a dreadful,
+pernicious idea. I bet she gives great top, though.