Feedback Refinement Relations for the Synthesis of Symbolic Controllers
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This work builds on a general notion of system with set-valued dynamics and possibly non-deterministic quantizers to permit the synthesis of controllers that robustly, and provably, enforce the specification in the presence of various types of uncertainties and disturbances.Abstract:
We present an abstraction and refinement methodology for the automated controller synthesis to enforce general predefined specifications. The designed controllers require quantized (or symbolic) state information only and can be interfaced with the system via a static quantizer. Both features are particularly important with regard to any practical implementation of the designed controllers and, as we prove, are characterized by the existence of a feedback refinement relation between plant and abstraction. Feedback refinement relations are a novel concept introduced in this paper. Our work builds on a general notion of system with set-valued dynamics and possibly non-deterministic quantizers to permit the synthesis of controllers that robustly, and provably, enforce the specification in the presence of various types of uncertainties and disturbances. We identify a class of abstractions that is canonical in a well-defined sense, and provide a method to efficiently compute canonical abstractions. We demonstrate the practicality of our approach on two examples.read more
Citations
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Journal ArticleDOI
Contract-Based Design of Symbolic Controllers for Safety in Distributed Multiperiodic Sampled-Data Systems
TL;DR: This article presents a component-based approach to controller synthesis, which relies on the use of abstractions and continuous-time assume-guarantee contracts, and shows how symbolic control techniques can be used to synthesize controllers that enforce the local control objectives.
Proceedings ArticleDOI
A symbolic approach to voltage stability and power sharing in time-varying DC microgrids
TL;DR: An appropriate decomposition of the system is proposed, such that the control problem can be reformulated in terms of assume-guarantee contracts to be satisfied by the observable and unobservable components.
Posted Content
On Abstraction-Based Controller Design With Output Feedback
TL;DR: The proposed algorithm for constructing sound finite-state abstractions is inspired by the simultaneous reachability and bisimulation minimization algorithm of Lee and Yannakakis and generalizes feedback-refinement relations from ABCD with state-feedback.
Journal ArticleDOI
Compositional Abstraction-based Synthesis for Cascade Discrete-Time Control Systems
TL;DR: This paper proposes a compositional abstraction-based synthesis for cascade interconnected discrete-time control systems and provides results on the compositional construction of finite abstractions based on the notion of approximate cascade composition.
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Secure-by-Construction Synthesis of Cyber-Physical Systems
TL;DR: In this article , the authors propose a secure-by-construction synthesis approach for security-critical control systems, where the security properties are verified ex post facto during the design process.
References
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Differential Equations with Discontinuous Righthand Sides
TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
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TL;DR: Principles of Model Checking offers a comprehensive introduction to model checking that is not only a text suitable for classroom use but also a valuable reference for researchers and practitioners in the field.
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Feedback Systems: An Introduction for Scientists and Engineers
TL;DR: Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.