The Control of Dense Real-Time Discrete Event Systems,

Abstract

We introduce dense real-time into the supervisory control framework for discrete event systems. Supervisory control theory models an autonomous plant and its specification as sets of execution traces. The task of a supervisor is to control the plant by disabling certain events so that the closed-loop behavior lies within the specification. We extend this theory to model the real-time aspects of the plant's execution. The two cases of finite (terminating) and infinite (non-terminating) timed traces are discussed. We give necessary and sufficient conditions for the existence of a supervisor. A supervisory synthesis problem is formulated. When the plant and specification behaviors are represented by deterministic timed automata, the synthesis problem can be solved. The synthesis procedure and the synthesized supervisor are polynomial in the number of automata states and exponential in the timing information.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA325997

Entities

People

  • Gerard Hoffmann
  • Howard Wong-toi

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Alphabets
  • Automata
  • Automatic
  • Computer Science
  • Computers
  • Control Theory
  • Formal Languages
  • Language
  • Polynomials
  • Sequences
  • Specifications
  • Standards
  • Supervision
  • Supervisors
  • Supervisory Control
  • Time Domain
  • Universities

Fields of Study

  • Computer science

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.
  • Occupational Health and Safety.