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SCOTS: A Tool for the Synthesis of Symbolic Controllers

Published: 11 April 2016 Publication History

Abstract

We introduce SCOTS a software tool for the automatic controller synthesis for nonlinear control systems based on symbolic models, also known as discrete abstractions. The tool accepts a differential equation as the description of a nonlinear control system. It uses a Lipschitz type estimate on the right-hand-side of the differential equation together with a number of discretization parameters to compute a symbolic model that is related with the original control system via a feedback refinement relation. The tool supports the computation of minimal and maximal fixed points and thus natively provides algorithms to synthesize controllers with respect to invariance and reachability specifications. The atomic propositions, which are used to formulate the specifications, are allowed to be defined in terms of finite unions and intersections of polytopes as well as ellipsoids. While the main computations are done in C++, the tool contains a Matlab interface to simulate the closed loop system and to visualize the abstract state space together with the atomic propositions. We illustrate the performance of the tool with two examples from the literature. The tool and all conducted experiments are available at www.hcs.ei.tum.de.

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cover image ACM Conferences
HSCC '16: Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control
April 2016
324 pages
ISBN:9781450339551
DOI:10.1145/2883817
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Published: 11 April 2016

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Author Tags

  1. c++/matlab toolbox
  2. discrete abstractions
  3. feedback refinement relations
  4. symbolic models

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HSCC '16 Paper Acceptance Rate 28 of 65 submissions, 43%;
Overall Acceptance Rate 153 of 373 submissions, 41%

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  • (2024)Closure CertificatesProceedings of the 27th ACM International Conference on Hybrid Systems: Computation and Control10.1145/3641513.3650120(1-11)Online publication date: 14-May-2024
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