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Discrete Event Dynamic Systems

, Volume 17, Issue 2, pp 211–232 | Cite as

Modal Specifications for the Control Theory of Discrete Event Systems

  • Guillaume Feuillade
  • Sophie Pinchinat
Article

Abstract

We propose a logical framework for the control theory of reactive systems modeled by discrete event systems. The logic is the conjunctive nu-calculus, an expressive fragment of the powerful mu-calculus. Conjunctive nu-calculus possesses an alternative presentation based on modal specifications, with simple graphical representations. We exploit modal specification to specify and to solve the basic centralized control problem: our class of control objectives strictly subsumes the class of regular languages, normally used in the classic control theory of discrete-event systems, but the existence of maximally permissive solutions is however preserved.

Keywords

Reactive systems Control theory Logics Mu-calculus Conjunctive nu-calculus Modal specifications Maximally permissive solutions 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.IRIT-Univ. Paul SabatierToulouse Cedex 9France
  2. 2.IRISACampus de BeaulieuRennesFrance

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