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Event-triggered control for switched linear systems: A control and switching joint triggering strategy.

Xiaomei Wang1, Jun Zhao2

  • 1State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China; Key Laboratory of Data Analytics and Optimization for Smart Industry (Northeastern University), Ministry of Education.

ISA Transactions
|May 31, 2021
PubMed
Summary

This study presents an event-triggered control strategy for switched linear systems (SLSs). The method ensures system stability and avoids Zeno behavior, demonstrating practical application in turbofan engine speed regulation.

Keywords:
Dwell-timeEvent-triggered controlExponentially stableState-dependent switchingSwitched linear systems

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Switched linear systems (SLSs) present stability challenges.
  • Event-triggered control offers potential for reduced communication and computation.
  • Existing methods may not adequately address stability under event-triggered conditions.

Purpose of the Study:

  • To develop an event-triggered control strategy for stabilizing switched linear systems.
  • To ensure that control and switching decisions are made only at event-triggered instants.
  • To exclude Zeno behavior in the proposed event-triggered framework.

Main Methods:

  • Formulation of an event-triggering strategy for both control and system switching.
  • Derivation of sufficient conditions for the stability of event-triggered switched linear systems.
  • Mathematical proof to demonstrate the exclusion of Zeno behavior.

Main Results:

  • A novel event-triggering strategy for switched linear systems is proposed.
  • Sufficient conditions guaranteeing stability for the event-triggered SLSs are established.
  • The proposed strategy effectively prevents Zeno behavior.

Conclusions:

  • The developed event-triggered control approach ensures stability for switched linear systems.
  • The technique is validated through a practical application in turbofan engine speed regulation.
  • This work provides a viable method for implementing event-triggered control in SLSs.