Auto sync: 2025-09-05 11:32:34 (11 files changed)
M .sessions/Journal.vim M .sessions/nvim_config.vim A Writing/ERLM/goals-and-outcomes/v3.tex M Writing/ERLM/main.fdb_latexmk M Writing/ERLM/main.fls M Writing/ERLM/main.log M Writing/ERLM/main.pdf M Writing/ERLM/main.synctex.gz
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@ -3,7 +3,7 @@ let s:so_save = &g:so | let s:siso_save = &g:siso | setg so=0 siso=0 | setl so=-
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Writing/ERLM/goals-and-outcomes/v3.tex
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\section{Goals and Outcomes}
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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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autonomous control applications because they can switch between different
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control laws based on discrete triggers in the system's operating range. This
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approach allows autonomous controllers to use several tractable control laws
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optimized for different regions in the state space, rather than relying on a
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single controller across the entire operating range. However, the discrete
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transitions between control laws in hybrid controllers present significant
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challenges in proving stability and liveness properties for the complete system.
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While tools from control theory can establish properties for individual control
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modes, these guarantees do not generalize when mode switching is introduced.
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Existing temporal logic synthesis tools like Strix can generate discrete
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controllers from logical specifications, but they assume instantaneous mode
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transitions. In hybrid systems, transitions occur along continuous trajectories
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governed by differential equations, creating a verification gap that neither
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purely discrete synthesis nor traditional control theory can address alone.
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This research takes a novel approach to hybrid controller synthesis and
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verification by bridging this gap. We will leverage formal methods to create
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controllers that are correct-by-construction, enabling guarantees about the
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complete system's behavior. To demonstrate this approach, we will develop an
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autonomous controller for nuclear power plant start-up procedures. Nuclear power
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represents an excellent test case because the continuous reactor dynamics are
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well-studied, while the discrete mode switching requirements are explicitly
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defined in regulatory procedures and operating guidelines. Current nuclear
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reactor control \textit{is} already a hybrid system---many control room
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functions employ automated controllers for basic tasks, but the engagement and
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selection of these controllers relies on human operators following procedural
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decision-making.
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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 routine control loops. Nuclear power stands to benefit
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substantially from increased controller autonomy, as operations and maintenance
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represent the largest expense for current reactor designs. While emerging
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technologies such as microreactors and small modular reactors will reduce
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maintenance costs through factory-manufactured replacement components, they face
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increased per-megawatt operating costs if required to maintain traditional
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staffing levels. However, if increased autonomy can be safely introduced, these
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economic challenges can be 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{Categorize continuous controller modes by their strategic
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relevance.} Different control modes serve distinct purposes: they may be
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transitory (guiding the system toward a target state) or stabilizing
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(maintaining the system within desired operating bounds). While the discrete
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component handles mode switching decisions, this outcome will identify the
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dynamic properties that continuous components must satisfy for each
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controller mode.
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\item
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\textbf{Verify that continuous controller modes satisfy dynamic
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requirements using appropriate analysis methods.} For linear dynamics, we
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will apply classical control theory to establish stability and performance
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within each mode. For nonlinear systems, reachability analysis will verify
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that transitory modes drive the system toward intended transitions while
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maintaining safety constraints, and that stabilizing modes maintain the
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system within designated operating regions.
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\item
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\textbf{Prove that hybrid system implementations achieve strategic goals
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across the complete operating range.} By synthesizing discrete controller
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transitions from logical specifications using correct-by-construction
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methods and verifying that continuous components perform appropriately
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between discrete transitions, we can establish confidence that the hybrid
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system is defect-free and suitable for deployment as a critical autonomous
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controller.
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\end{enumerate}
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---
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id: JRNL-20250904-135850
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title: Thursday, September 04, 2025 - 01:58 PM
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type: journal
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created: 2025-09-04T17:58:50Z
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modified: 2025-09-04T17:58:50Z
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tags: [journal]
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|
---
|
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|
|
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|
# Thursday, September 04, 2025 - 01:58 PM
|
||||||
|
|
||||||
|
So today is actually a late journal for yesterday... I got
|
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|
sschleepy and went to bed.
|
||||||
|
|
||||||
|
Yesterday significantly less happened. I finished my first
|
||||||
|
draft of the goals and outcomes section, I went to class,
|
||||||
|
and then I got food at Totopo with Devyn and Erik
|
||||||
|
(Juengling).
|
||||||
|
|
||||||
|
The first draft of my goals and outcomes section was pretty
|
||||||
|
good I think, but there's still issues. For one, I've got to
|
||||||
|
tighten up my goal. It's just not good enough but it must
|
||||||
|
straddle a line between being too long and being jargony.
|
||||||
|
There's also problems with intellectual merit. I feel like
|
||||||
|
there's not one single issue that is being addressed.
|
||||||
|
|
||||||
|
We discussed this somewhat in the group meeting we had right
|
||||||
|
after class. Dan started talking about how for hybrid
|
||||||
|
systems the proving of stability is still very difficult. I
|
||||||
|
feel like I could have some good ideas on how to solve that
|
||||||
|
problem, because the answer has to exist in examining
|
||||||
|
boundary behavior. I should get a move on trying some things
|
||||||
|
out for that. I watched a lecture by Andre Platzer about
|
||||||
|
verifying hybrid systems, and while his system of
|
||||||
|
differential dynamic logic does seem to capture hybrid
|
||||||
|
system behavior, it feels way too complicated.
|
||||||
|
|
||||||
|
ERLM was fun. Dan went over some goals and outcomes
|
||||||
|
submissions and offered comments. I think mine would've been
|
||||||
|
one of the best but I've had a head start on this whole
|
||||||
|
proposal thing. Also, I feel like my writing experience
|
||||||
|
lets me get ideas across easily.
|
||||||
|
|
||||||
|
The rest of the day was pretty chill. I retooled my dating
|
||||||
|
profiles with some better pictures of me. One of me from the
|
||||||
|
last Yinz Run Club, and one again from Jonathan's wedding.
|
||||||
|
Claude thinks I need a picture that is a proof of
|
||||||
|
sociability. It might be right. The results though have been
|
||||||
|
dramatic. I'm certainly getting more matches and have a
|
||||||
|
couple new threads going.
|
||||||
|
|
||||||
|
Then, Devyn, Erik, and I caught up at Totopo. That was a lot
|
||||||
|
of fun :). Devyn is not having the best time out in King of
|
||||||
|
Prussia and is interviewing for jobs out here (As well as
|
||||||
|
around the country). He thinks Philadelphia Gear is a boring
|
||||||
|
company to work for, and for someone with his skillset, is
|
||||||
|
probably a waste of his talents. He and his girlfriend have
|
||||||
|
a debt mountain that they're trying to work down too--she is
|
||||||
|
having a really hard time finding a job with a biostatistics
|
||||||
|
degree. They're going on 27. It was really nice to see Devyn
|
||||||
|
again. I forgot how much I actually missed that guy. Erik
|
||||||
|
was good too, he's working full time at Siemens now and is
|
||||||
|
living in Lawrenceville with his girlfriend.
|
||||||
|
|
||||||
|
That's pretty much it from Wednesday. Today (Thursday) I
|
||||||
|
woke up and didn't really get moving until close to noon.
|
||||||
|
That's problematic but I do feel refreshed. Today I have the
|
||||||
|
union meeting, and I'm watching the Eagles game and
|
||||||
|
Andrew's.
|
||||||
27
Zettelkasten/Fleeting Notes/Weekly/2025_36.md
Normal file
27
Zettelkasten/Fleeting Notes/Weekly/2025_36.md
Normal file
@ -0,0 +1,27 @@
|
|||||||
|
---
|
||||||
|
id: 2025-36
|
||||||
|
title: Weekly — 2025-09-02
|
||||||
|
type: Weekly
|
||||||
|
created: 2025-08-20T13:54:13Z
|
||||||
|
modified: 2025-09-03T18:59:44Z
|
||||||
|
tags: [weekly]
|
||||||
|
---
|
||||||
|
|
||||||
|
# Weekly - 2025 CW 36 (Aug 25 - Aug 30)
|
||||||
|
|
||||||
|
## Accomplishments
|
||||||
|
- Wrote the goals and outcomes, went up to V4.
|
||||||
|
- Goal was flubbed but have new content
|
||||||
|
- started thinking about how continuous dynamics need to be
|
||||||
|
included.
|
||||||
|
- Tried to watch a video about hybrid system verification.
|
||||||
|
Made fun of 'trajectories' nomenclature instead of
|
||||||
|
executions and then shit really went off the rails fast.
|
||||||
|
Lots of pretty figures but I have to be honest I have no
|
||||||
|
idea what the fuck he was talking about.
|
||||||
|
- Had crises about intellectual mert
|
||||||
|
|
||||||
|
## To Do
|
||||||
|
- Rewrite GO
|
||||||
|
- SOTA. Start writing.
|
||||||
|
- look up cones for math
|
||||||
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