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Event-triggered controller design for LTI systems: A distributed interval observer-based approach.

Danxia Li1, Jing Chang1, Weisheng Chen1

  • 1School of Aerospace Science and Technology, Xidian University, Xi'an 710071, China.

ISA Transactions
|June 8, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a novel distributed event-triggered control for networked systems with unknown states and disturbances. The method ensures system stability and avoids Zeno behavior, enhancing control performance.

Keywords:
Bounded disturbancesDistributed controlDistributed interval observerEvent-triggeredNetworked LTI systems

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Area of Science:

  • Control Systems Engineering
  • Networked Systems
  • State Estimation

Background:

  • Networked linear time-invariant (LTI) systems present challenges in control design due to partially measurable states and external disturbances.
  • Event-triggered control strategies aim to reduce communication load by only transmitting data when necessary.

Purpose of the Study:

  • To design a distributed event-triggered control scheme for LTI systems with partially measurable states and bounded disturbances.
  • To address the challenges of unknown states and avoid Zeno behavior in networked control systems.

Main Methods:

  • A novel distributed interval observer was designed to estimate unknown states and bound disturbances.
  • A distributed feedback control method utilizing interval estimation information was developed to overcome partial state measurability.
  • A time-varying function with dead-zone modification was introduced to prevent Zeno behavior.

Main Results:

  • Sufficient conditions for the stability of closed-loop systems were derived using matrix inequalities and a transmission strategy.
  • The proposed approach demonstrated uniformly ultimately bounded stability.
  • Numerical simulations confirmed the avoidance of Zeno behavior.

Conclusions:

  • The developed distributed interval observer-based event-triggered control scheme effectively handles systems with partially measurable states and disturbances.
  • The method ensures system stability and avoids Zeno behavior, offering a robust solution for networked LTI systems.