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
State space grids for low complexity abstractions
TL;DR: An automated, algorithmic controller synthesis framework for perturbed nonlinear control systems to enforce complex specifications is considered, in which an auxiliary transition system is used as a finite substitute of the original control system in the controller design process.
Proceedings ArticleDOI
Sparsity-aware finite abstraction
TL;DR: A simple modification of the abstraction algorithm is presented, which dramatically reduces the computation time for systems exhibiting a sparse interconnection structure and recovers the same finite abstraction as the one computed by a brute force algorithm that disregards the sparsity.
Posted Content
Compositional Abstraction-Based Controller Synthesis for Continuous-Time Systems
TL;DR: Conditions under which one can compositionally abstract a network of non-linear control systems in a modular way are shown while ensuring that the final composed abstraction is disturbance bisimilar to the original system.
Proceedings ArticleDOI
On abstraction-based controller design with output feedback
TL;DR: In this paper, an abstraction-based design of output-feedback controllers for dynamical systems with a finite set of inputs and outputs against specifications in linear-time temporal logic is considered.
Journal ArticleDOI
Robustly Complete Synthesis of Memoryless Controllers for Nonlinear Systems with Reach-and-Stay Specifications
TL;DR: A finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems by using an adaptive partitioning scheme and a fixed-point characterization of the winning set of the system with respect to a given specification.
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.