Feedback Refinement Relations for the Synthesis of Symbolic Controllers
Reads0
Chats0
TLDR
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
More filters
Proceedings ArticleDOI
Data-Driven Reachable Set Computation using Adaptive Gaussian Process Classification and Monte Carlo Methods.
Alex Devonport,Murat Arcak +1 more
TL;DR: Two data-driven methods for estimating reachable sets with probabilistic guarantees are presented, using a Monte Carlo sampling approach and an explicit bound on the number of sample points needed to achieve a desired accuracy and confidence.
Journal ArticleDOI
Hierarchical Decomposition of LTL Synthesis Problem for Nonlinear Control Systems
TL;DR: In this article, a top-down hierarchical decomposition of the control problem involving three abstraction layers of the problem, iteratively solved from the coarsest to the finest, is presented.
Journal ArticleDOI
Semantics-Preserving Cosynthesis of Cyber-Physical Systems
TL;DR: The evolution of design approaches for control-platform cosynthesis techniques are surveyed and it is shown how–the originally disjoint–controller and the platform design methods are gradually converging.
Proceedings ArticleDOI
TIRA: Toolbox for Interval Reachability Analysis.
TL;DR: TIRA, a Matlab library gathering several methods for the computation of interval over-approximations of the reachable sets for both continuous- and discrete-time nonlinear systems, is presented.
Journal ArticleDOI
Symbolic Abstractions of Networked Control Systems
TL;DR: In this paper, the authors propose a general synthesis framework that can be flexibly adapted to a number of networked control systems (NCS) setups, while encompassing the mentioned network nonidealities.
References
More filters
Book
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.
Book
Principles of Model Checking
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.
Book
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.