Thesis/1-goals-and-outcomes/research_statement_v1.tex
Split 00c14339e0 Multi-level editorial pass: Gopen + Heilmeier alignment
Pass 1 (Tactical): Sentence-level improvements
- Strengthened issue-point positioning (stress at sentence end)
- Improved topic-stress flow (known→new information)
- Converted passive to active voice where appropriate
- Tightened verb choice and eliminated weak constructions
- Fixed pronoun references and reduced unnecessary nominalizations

Pass 2 (Operational): Paragraph and section flow
- Improved transitions between paragraphs and subsections
- Strengthened section-to-section handoffs
- Enhanced coherence within major sections
- Clarified the discrete-continuous interface explanation
- Better signposting for the three controller types

Pass 3 (Strategic): Heilmeier catechism alignment
- Made 'What is new' and 'Why will it succeed' explicit
- Strengthened 'Who cares' and 'What difference' in Broader Impacts
- Clarified 'The exams' in Metrics section
- Added 'How long' statement to Schedule
- Improved overall narrative flow from problem→gap→solution→impact

All changes preserve technical accuracy while improving clarity and impact.
2026-03-09 12:12:33 -04:00

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% GOAL PARAGRAPH
This research develops a methodology for creating autonomous control systems
that guarantee safe and correct behavior through event-driven control laws.
% INTRODUCTORY PARAGRAPH Hook
Nuclear power plants rely on extensively trained operators who follow detailed
written procedures to manage reactor control. These operators interpret plant
conditions and make critical decisions about when to switch between control
objectives.
% Gap
Next-generation nuclear power plants face an economic challenge from this
reliance on human operators. Small modular reactors face per-megawatt
staffing costs significantly exceeding those of conventional plants. These
economic constraints demand autonomous control systems that can safely manage
complex operational sequences without constant supervision while maintaining the
same assurance as human-operated systems.
% APPROACH PARAGRAPH Solution
We combine formal methods from computer science with control theory to
build hybrid control systems that are correct by construction.
% Rationale
Hybrid systems mirror how operators change control strategies: they use discrete
logic to switch between continuous control modes. Existing formal methods
generate provably correct switching logic but cannot handle continuous dynamics
during transitions. Traditional control theory verifies continuous behavior but
lacks tools for proving discrete switching correctness.
% Hypothesis and Technical Approach
A three-stage methodology bridges this gap. First, we translate written
operating procedures into temporal logic specifications using NASA's Formal
Requirements Elicitation Tool (FRET). FRET structures requirements into scope,
condition, component, timing, and response elements, enabling realizability
checking that identifies conflicts and ambiguities before implementation.
Second, reactive synthesis generates deterministic automata that are provably
correct by construction for discrete mode switching logic.
Third, we develop continuous controllers for each discrete mode using standard
control theory and reachability analysis. We classify continuous modes based on
their transition objectives, then employ assume-guarantee contracts and barrier
certificates to prove that mode transitions occur safely as the
deterministic automata specify. Local verification of continuous modes becomes
possible without global trajectory analysis across the entire hybrid system. An
Emerson Ovation control system will demonstrate this methodology.
% Pay-off
This approach demonstrates that autonomous control can manage complex nuclear
power operations while maintaining safety guarantees.
% OUTCOMES PARAGRAPHS
If this research is successful, we will be able to do the following:
\begin{enumerate}
% OUTCOME 1 Title
\item \textit{Synthesize written procedures into verified control logic.}
% Strategy
We will develop a methodology for converting written operating procedures
into formal specifications. Reactive synthesis tools will then generate
discrete control logic from these specifications.
% Outcome
Control engineers will generate mode-switching controllers from regulatory
procedures with minimal formal methods expertise, reducing barriers to
high-assurance control systems.
% OUTCOME 2 Title
\item \textit{Verify continuous control behavior across mode transitions.}
% Strategy
Reachability analysis will ensure continuous control modes satisfy discrete
transition requirements.
% Outcome
Engineers will design continuous controllers using standard practices while
ensuring system correctness, proving that mode transitions occur safely at
the right times.
% OUTCOME 3 Title
\item \textit{Demonstrate autonomous reactor startup control with safety
guarantees.}
% Strategy
A small modular reactor simulation using industry-standard control hardware
will implement this methodology.
% Outcome
Control engineers will implement high-assurance autonomous controls on
industrial platforms they already use, enabling autonomy without retraining
costs or developing new equipment.
\end{enumerate}