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Tactical (sentence-level) improvements: - Applied Gopen's Sense of Structure principles throughout - Improved topic-stress positioning and topic strings - Strengthened verb choices and reduced passive voice - Eliminated redundancy and improved parallel structure - Tightened phrasing while maintaining technical precision Operational (paragraph/section) improvements: - Added roadmap sentences at section openings - Improved transitions between paragraphs and subsections - Strengthened coherence within sections - Better signposting of three-mode classification - Clearer flow from procedures → synthesis → verification Strategic (document-level) improvements: - Strengthened Heilmeier question alignment in each section - Added forward and backward references between sections - Improved document-level coherence and narrative flow - Clarified how each section answers its Heilmeier questions - Explicit connections: Sec 2 (gap) → Sec 3 (solution) → Sec 4-6 (validation/impact) All changes preserve technical accuracy and maintain formal tone appropriate for doctoral candidacy proposal.
95 lines
6.6 KiB
TeX
95 lines
6.6 KiB
TeX
\section{Goals and Outcomes}
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% GOAL PARAGRAPH
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This research develops autonomous hybrid control systems with mathematical guarantees of safe and correct behavior.
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% INTRODUCTORY PARAGRAPH Hook
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Nuclear power plants require the highest levels of control system reliability. Control system failures risk economic losses, service interruptions, or radiological release.
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% Known information
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Nuclear plant operations rely on extensively trained human operators who follow detailed written procedures and strict regulatory requirements. These operators switch between control modes based on plant conditions and procedural guidance.
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% Gap
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This reliance on human operators prevents autonomous control and creates a fundamental economic challenge for next-generation reactor designs. Small modular reactors face per-megawatt staffing costs far exceeding those of conventional plants, threatening their economic viability. Autonomous control systems could manage complex operational sequences without constant human supervision—if they provide assurance equal to or exceeding that of human operators.
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% APPROACH PARAGRAPH Solution
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This research combines formal methods with control theory to build hybrid control systems correct by construction.
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% Rationale
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Hybrid systems mirror how operators work: discrete logic switches between continuous control modes. Existing formal methods generate provably correct switching logic from written requirements but fail when continuous dynamics govern transitions. Control theory verifies continuous behavior but cannot prove discrete switching correctness. No existing approach guarantees end-to-end correctness for both layers.
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% Hypothesis
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This approach closes the gap by synthesizing discrete mode transitions directly from written operating procedures and verifying continuous behavior between transitions. Operating procedures formalize into logical specifications. Continuous dynamics verify against transition requirements. The result: autonomous controllers provably free from design defects.
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The University of Pittsburgh Cyber Energy Center provides access to industry collaboration and Emerson control hardware, ensuring solutions align with practical implementation
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requirements.
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% OUTCOMES PARAGRAPHS
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This approach produces three concrete outcomes:
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\begin{enumerate}
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% OUTCOME 1 Title
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\item \textbf{Translate written procedures into verified control logic.}
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% Strategy
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We develop a methodology for converting existing written operating
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procedures into formal specifications that can be automatically synthesized
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into discrete control logic. This process uses structured intermediate
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representations to bridge natural language procedures and mathematical
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logic.
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% Outcome
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Control system engineers generate verified mode-switching controllers
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directly from regulatory procedures without formal methods expertise,
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lowering the barrier to high-assurance control systems.
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% OUTCOME 2 Title
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\item \textbf{Verify continuous control behavior across mode transitions.}
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% Strategy
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We establish methods for analyzing continuous control modes to verify
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they satisfy discrete transition requirements. Classical control theory for
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linear systems and reachability analysis for nonlinear dynamics verify
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that each continuous mode reaches its intended transitions safely.
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% Outcome
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Engineers design continuous controllers using standard practices while
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maintaining formal correctness guarantees. Mode transitions occur safely and at the correct times, provably.
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% OUTCOME 3 Title
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\item \textbf{Demonstrate autonomous reactor startup control with safety
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guarantees.}
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% Strategy
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We apply this methodology to develop an autonomous controller for
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nuclear reactor startup procedures, implementing it on a small modular
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reactor simulation using industry-standard control hardware. This
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demonstration proves correctness across multiple coordinated control
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modes from cold shutdown through criticality to power operation.
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% Outcome
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We demonstrate that autonomous hybrid control can be realized in the
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nuclear industry with current equipment, establishing a path toward reduced
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operator staffing while maintaining safety.
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\end{enumerate}
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% IMPACT PARAGRAPH Innovation
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These three outcomes—procedure translation, continuous verification, and hardware demonstration—establish a complete methodology from regulatory documents to deployed systems.
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\textbf{What makes this research new?} This work unifies discrete synthesis with continuous verification to enable end-to-end correctness guarantees for hybrid systems. Formal methods verify discrete logic. Control theory verifies continuous dynamics. No existing methodology bridges both with compositional guarantees. This work establishes that bridge by treating discrete specifications as contracts that continuous controllers must satisfy, enabling independent verification of each layer while guaranteeing correct composition. Section 2 (State of the Art) examines why prior work has not achieved this integration. Section 3 (Research Approach) details how this integration will be accomplished.
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% Outcome Impact
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If successful, control engineers create autonomous controllers from
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existing procedures with mathematical proofs of correct behavior. High-assurance
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autonomous control becomes practical for safety-critical applications.
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% Impact/Pay-off
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This capability is essential for the economic viability of next-generation
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nuclear power. Small modular reactors offer a promising solution to growing
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energy demands, but their success depends on reducing per-megawatt operating
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costs through increased autonomy. This research provides the tools to
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achieve that autonomy while maintaining the exceptional safety record the
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nuclear industry requires.
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These three outcomes establish a complete methodology from regulatory documents to deployed systems. This proposal follows the Heilmeier Catechism, with each section explicitly answering its assigned questions:
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\begin{itemize}
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\item \textbf{Section 2 (State of the Art):} What has been done? What are the limits of current practice?
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\item \textbf{Section 3 (Research Approach):} What is new? Why will it succeed where prior work has failed?
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\item \textbf{Section 4 (Metrics for Success):} How do we measure success?
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\item \textbf{Section 5 (Risks and Contingencies):} What could prevent success?
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\item \textbf{Section 6 (Broader Impacts):} Who cares? Why now? What difference will it make?
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\item \textbf{Section 8 (Schedule):} How long will it take?
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\end{itemize}
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Each section begins by stating its Heilmeier questions and ends by summarizing its answers, ensuring both local clarity and global coherence.
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