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\section{Goals and Outcomes}
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\section{Goals and Outcomes - ORIGINAL}
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The goal of this research is to use formal methods to create high-assurance
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hybrid control systems. Hybrid control systems have great potential for
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\section{Goals and Outcomes - REVISED}
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The goal of this research is to develop a unified framework combining temporal
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logic synthesis with continuous-time verification methods to create autonomous
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hybrid control systems with complete correctness guarantees. Hybrid control
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systems have great potential for autonomous control applications because they
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can switch between different control laws based on discrete triggers in the
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system's operating range. This approach allows autonomous controllers to use
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several tractable control laws optimized for different regions in the state
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space, rather than relying on a single controller across the entire operating
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range. But, the discrete transitions between control laws in hybrid controllers
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present significant challenges in proving stability and liveness properties for
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the complete system. While tools from control theory can establish properties
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for individual control modes, these guarantees do not generalize when mode
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switching is introduced. Conversely, significant advances in formal methods have
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enabled automatic synthesis of discrete controllers from temporal logic
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specifications—tools like Strix can generate provably correct switching logic
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for complex logical requirements. However, these synthesis approaches assume
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instantaneous mode transitions and operate purely in discrete state spaces. In
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hybrid systems, transitions occur along continuous trajectories governed by
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differential equations, creating a fundamental verification gap that neither
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purely discrete synthesis nor traditional control theory can address alone.
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This research addresses a fundamental challenge in hybrid controller synthesis
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and verification by unifying discrete system synthesis with continuous system
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analysis. We will leverage formal methods to create controllers that are
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correct-by-construction, enabling guarantees about the complete system's
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behavior. To demonstrate this approach, we will develop an autonomous controller
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for nuclear power plant start-up procedures. Nuclear power represents an
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excellent test case because the continuous reactor dynamics are well-studied,
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while the discrete mode switching requirements are explicitly defined in
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regulatory procedures and operating guidelines. Current nuclear reactor control
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\textit{is} already a hybrid system. For example, during reactor startup,
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operators must transition from initial cold conditions through controlled
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heating phases to predetermined power levels. Each phase employs different
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automated controllers: temperature ramp controllers during heatup, reactivity
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controllers approaching criticality, and load-following controllers during
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operation. The decision of when to switch between these controllers currently
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relies on human operators interpreting written procedures. Our approach would
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formalize such transition conditions and synthesize the switching logic
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automatically.
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The capability to create high-assurance hybrid control systems has significant
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potential to reduce labor costs in operating critical systems by removing human
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operators from control loops. Nuclear power stands to benefit substantially from
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increased controller autonomy, as operations and maintenance represent the
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largest expense for current reactor designs. While emerging technologies such as
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microreactors and small modular reactors will reduce maintenance costs through
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factory-manufactured replacement components, they face increased per-megawatt
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operating costs if required to maintain traditional staffing levels. However, if
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increased autonomy can be safely introduced, these economic challenges can be
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addressed while maintaining safety standards.
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If this research is successful, we will achieve the following outcomes:
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\begin{enumerate}
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\item
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\textbf{Formalize mode switching requirements as logical specifications that
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can be synthesized into discrete controller implementations.} The discrete
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transitions between continuous controller modes are often explicitly defined
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in operating procedures and regulatory requirements for critical systems.
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These natural language requirements will be translated into temporal logic
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specifications, which will then be synthesized into provably correct
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discrete controllers for continuous mode switching.
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\item
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\textbf{Develop and verify formal characterizations of hybrid mode
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dynamics and safety conditions.} We will establish mathematical frameworks
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distinguishing transitory modes with reachability requirements to target
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states from stabilizing modes with invariant maintenance properties. For
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linear dynamics, classical control theory will establish stability and
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performance within each mode. For nonlinear systems, reachability analysis
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will verify that transitory modes drive the system toward intended
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transitions while maintaining safety constraints, and that stabilizing modes
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preserve their designated operating regions. This unified approach will
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enable provable conditions for safe state space traversal and transition
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timing.
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\item
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\textbf{Prove that hybrid system implementations achieve safety and
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performance specifications across operational mode sequences.} By
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synthesizing discrete controller transitions from logical specifications
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using correct-by-construction methods and verifying that continuous
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components perform appropriately between discrete transitions, we can
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establish mathematical guarantees that the hybrid system maintains safety
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constraints and meets performance requirements during autonomous operational
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sequences such as reactor startup procedures, where multiple control modes
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must be coordinated to achieve higher-level operational objectives.
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\end{enumerate}
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\input{goals-and-outcomes/v4}
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\bibliography{references}
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47
Writing/Journal/JRNL-20250905-115329.md
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Writing/Journal/JRNL-20250905-115329.md
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@ -0,0 +1,47 @@
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---
|
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id: JRNL-20250905-115329
|
||||
title: Friday, September 05, 2025 - 11:53 AM
|
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type: journal
|
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created: 2025-09-05T15:53:29Z
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modified: 2025-09-05T15:53:29Z
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tags: [journal]
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---
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||||
# 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.
|
||||
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Block a user