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Updated: Jun 4, 2025

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Event-based sliding mode control for singularly perturbed systems with switching parameters.

Changchun Shen1, Jun Cheng2

  • 1School of Data Science and Information Engineering, Guizhou Minzu University, Guizhou 550025, China.

ISA Transactions
|January 2, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel memory-based dynamic event-triggered protocol for singularly perturbed switching systems. The approach enhances control performance and reduces communication load for flexible state transitions.

Keywords:
Dynamic event-triggered protocolIntegral sliding mode controlSemi-Markovian switching systemsSingularly perturbed systems

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Singularly perturbed systems with switching parameters present unique control challenges.
  • Traditional Markovian switching systems assume exponential state transition distributions, limiting flexibility.
  • Event-triggered control aims to reduce communication load in complex systems.

Purpose of the Study:

  • To develop an event-based sliding mode control strategy for singularly perturbed systems with general switching parameter distributions.
  • To propose a novel memory-based dynamic event-triggered protocol (DETP) for enhanced control performance and communication efficiency.
  • To ensure exponential mode stability under bounded disturbances (EMSUB) for the sliding mode dynamics.

Main Methods:

  • A memory-based dynamic event-triggered protocol (DETP) incorporating a memory term for an auxiliary offset variable.
  • Construction of an integral-type sliding surface.
  • Employment of a hidden semi-Markovian switching model to address mode mismatches.
  • Utilization of parameter-dependent Lyapunov theory to derive stability conditions.

Main Results:

  • The proposed memory-based DETP effectively reduces communication packet frequency.
  • The control strategy mitigates communication overhead while maintaining control performance.
  • Sufficient conditions guaranteeing EMSUB for sliding mode dynamics were derived.
  • Simulation examples validated the effectiveness of the proposed control strategy.

Conclusions:

  • The novel memory-based DETP offers an efficient solution for controlling singularly perturbed switching systems.
  • The integral-type sliding surface and hidden semi-Markovian model effectively handle system complexities.
  • The derived stability conditions provide a robust framework for control design in these systems.