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Control synthesis for a class of hybrid systems subject to configuration-based safety constraints

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Hybrid and Real-Time Systems (HART 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1201))

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Abstract

We examine a class of hybrid systems called Composite Hybrid Machines (CHMs), that consist of the concurrent (and partially synchronized) operation of Elementary Hybrid Machines (EHMs). Legal behavior is specified by a set of illegal configurations that the CHM may not enter, and is to be achieved by the concurrent operation of the CHM with a suitably designed legal controller. A legal controller is minimally restrictive if, when composed to operate concurrently with another legal controller, it will never interfere with the operation of the other controller. We focus attention on the problem of synthesizing a minimally restrictive legal controller, whenever a legal controller exists. We present an algorithm for the synthesis of minimally restrictive legal controllers for CHMs with rate-limited dynamics, where legal guards are conjunctions or disjunctions of atomic formulas in the dynamic variables (of the type x ≤ x0 or x ≥ x0).

We demonstrate our approach by synthesizing a minimally restrictive controller for a steam boiler (the verification of which recently received a great deal of attention).

This research is supported in part by the National Science Foundation under grant ECS-9315344 and NASA under grant NAG2-1043 and in part by the Technion Fund for Promotion of Research.

The work by this author was completed while he was a Senior NRC Research Associate at NASA Ames Research Center, Moffett Field, CA 94035.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Technion, Israel Institute of Technology, 32000, Haifa, Israel

    Michael Heymann

  2. Department of Electrical and Computer Engineering, Wayne State University, 48202, Detroit, MI

    Feng Lin

  3. NASA Ames Research Center, 94035, Moffett Field, CA

    George Meyer

Authors
  1. Michael Heymann
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  2. Feng Lin
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  3. George Meyer
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Oded Maler

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© 1997 Springer-Verlag Berlin Heidelberg

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Heymann, M., Lin, F., Meyer, G. (1997). Control synthesis for a class of hybrid systems subject to configuration-based safety constraints. In: Maler, O. (eds) Hybrid and Real-Time Systems. HART 1997. Lecture Notes in Computer Science, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014739

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  • DOI: https://doi.org/10.1007/BFb0014739

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62600-8

  • Online ISBN: 978-3-540-68330-8

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