Feedback Control Systems as Users of a Shared Network: Communication Sequences that Guarantee Stability

Abstract

The authors investigates the stability of a collection of systems that are governed by linear dynamics and operate under limited communication. They view each system and its feedback controller as users on an idealized shared network that grants access only to a few system-controller pairs at any one time. A communication sequence, which plays the role of a network admission policy, specifies the amount of time available for each system to complete its feedback loop. Using Lyapunov theory, they give a sufficient condition for the existence of a stabilizing communication sequence and show how one can be constructed in a way that minimizes network usage. Their solution depends on the parameters of the underlying system(s) and on the number of controller-plant connections that can be maintained simultaneously. They include simulation results illustrating the main ideas.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA438592

Entities

People

  • Dimitris Hristu-varsakelis

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Closed Loop Systems
  • Control Systems
  • Dynamics
  • Feedback
  • Guarantees
  • Inequalities
  • Intervals
  • Linear Systems
  • Lyapunov Functions
  • Mechanical Engineering
  • Military Research
  • Networks
  • Sequences
  • Time Intervals
  • Universities
  • Websites

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.
  • Radio communications and signal processing.