Thesis/1-goals-and-outcomes/research_statement_v1.tex
Split faea7e6292 Editorial pass: tactical (sentence-level), operational (paragraph-level), and strategic (document-level) improvements
TACTICAL (Gopen's Sense of Structure):
- Strengthened weak verb constructions
- Improved issue-point positioning and stress placement
- Converted passive to active voice where appropriate
- Tightened choppy sentences and improved flow
- Enhanced topic strings and parallel structure

OPERATIONAL (paragraph/section flow):
- Improved transitions between subsections
- Reduced repetition and redundancy
- Enhanced coherence within sections
- Streamlined paragraph openings for better flow

STRATEGIC (Heilmeier alignment):
- Strengthened section-to-section linkages
- Improved parallel structure in Heilmeier question answers
- Enhanced consistency in how sections reference each other
- Tightened transitions to next sections
2026-03-09 14:48:16 -04:00

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% GOAL PARAGRAPH
This research develops autonomous control systems with mathematical guarantees of safe and correct behavior.
% INTRODUCTORY PARAGRAPH Hook
Extensively trained operators run nuclear reactors today. They follow detailed written procedures. They switch between control objectives based on plant conditions.
% Gap
Small modular reactors face a fundamental economic challenge: per-megawatt staffing costs significantly exceed those of conventional plants. This cost gap threatens economic viability. Autonomous control systems could manage complex operational sequences without constant supervision—but only if they provide assurance equal to or exceeding human-operated systems.
% APPROACH PARAGRAPH Solution
This research combines formal methods from computer science with control theory to produce hybrid control systems correct by construction.
% Rationale
Operators already work this way. Discrete logic switches between continuous control modes. Existing formal methods generate provably correct switching logic—but they fail when continuous dynamics govern transitions. Control theory verifies continuous behavior—but it cannot prove discrete switching correctness. End-to-end correctness requires both approaches together.
% Hypothesis and Technical Approach
Three stages bridge this gap. First, written operating procedures translate into temporal logic specifications using NASA's Formal Requirements Elicitation Tool (FRET). FRET structures requirements into scope, condition, component, timing, and response. Conflicts and ambiguities emerge through realizability checking—before implementation begins. Second, reactive synthesis generates deterministic automata provably correct by construction. Third, standard control theory designs continuous controllers for each discrete mode. Reachability analysis then verifies each controller. Transition objectives classify continuous modes. Transitory modes drive the plant between conditions. Stabilizing modes maintain operation within regions. Expulsory modes ensure safety under failures. Assume-guarantee contracts and barrier certificates prove safe mode transitions. This enables local verification without global trajectory analysis. The methodology demonstrates on an Emerson Ovation control system.
% Pay-off
This autonomous control approach manages complex nuclear power operations while maintaining safety guarantees. It directly addresses the economic constraints that threaten small modular reactor viability.
% OUTCOMES PARAGRAPHS
This research, if successful, produces three concrete outcomes:
\begin{enumerate}
% OUTCOME 1 Title
\item \textit{Synthesize written procedures into verified control logic.}
% Strategy
A methodology converts written operating procedures into formal specifications.
Reactive synthesis tools then generate discrete control logic from these specifications.
% Outcome
Control engineers generate mode-switching controllers directly from regulatory
procedures. Minimal formal methods expertise required. This reduces barriers to
high-assurance control systems.
% OUTCOME 2 Title
\item \textit{Verify continuous control behavior across mode transitions.}
% Strategy
Reachability analysis verifies that continuous control modes satisfy discrete
transition requirements.
% Outcome
Engineers design continuous controllers using standard practices while
maintaining formal correctness guarantees. Mode transitions occur safely and at
the correct times—provably.
% OUTCOME 3 Title
\item \textit{Demonstrate autonomous reactor startup control with safety
guarantees.}
% Strategy
This methodology demonstrates on a small modular reactor simulation using industry-standard control hardware.
% Outcome
Control engineers implement high-assurance autonomous controls on
industrial platforms they already use, enabling autonomy without retraining
costs or new equipment development.
\end{enumerate}