Supervisory Control Using Computationally Efficient Linear Techniques: A Tutorial Introduction

J. O. Moody and P. J. Antsaklis

Proceedings of 5th IEEE Mediterranean Conference on Control and Systems, Session MP1, Paphos, Cyprus, July 21-23, 1997.

Abstract -- This paper provides an overview of a computationally efficient method for synthesizing supervisory controllers for discrete event systems (DES). The DES palnt and controller are described by Petri nets which provide a useful linear algebraic model for both control analysis and synthesis. It is shown how a set of linear constraints on the plant's behavior can be enforced, accounting for possibly uncontrollable or unobservable transitions in the plant net, using techniques from Petri net theory, integer programming, and linear systems. Th paper is written as a tutorial introduction to the approach. Several results presented here have been reported elsewhere in the literature.

Also appeared as Technical Report isis-97-015, Department of Electrical Engineering, University of Notre Dame, Oct. 1997.

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