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Sampled-data observer-based anti-windup control for singularly perturbed systems with actuator saturation.

Yifang Yan1, Chunyu Yang1, Xiaoping Ma1

  • 1School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China.

ISA Transactions
|February 20, 2019
PubMed
Summary

This study introduces a novel sampled-data observer-based anti-windup (AW) control for systems with actuator saturation. The proposed method simultaneously designs controller components to reduce conservatism and improve stability.

Keywords:
Actuator saturationAnti-windup compensatorSampled-data observer-based controlSingularly perturbed systems

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Area of Science:

  • Control Systems Engineering
  • Systems Theory
  • Nonlinear Control

Background:

  • Actuator saturation poses significant challenges in control system performance.
  • Singularly perturbed systems require specialized control strategies due to their distinct time scales.
  • Existing anti-windup (AW) control methods may not adequately address sampled-data systems with actuator saturation.

Purpose of the Study:

  • To develop a novel sampled-data observer-based anti-windup (AW) control strategy.
  • To address actuator saturation in singularly perturbed systems.
  • To simultaneously design the observer, controller, and AW compensator for improved performance.

Main Methods:

  • Design of a sampled-data observer-based AW controller integrating observer, controller, and AW compensator.
  • Utilization of an ε-dependent Lyapunov-Krasovskii functional for stability analysis.
  • Application of linear matrix inequalities (LMIs) for simultaneous component design.
  • Formulation of a convex optimization algorithm to enhance stability bounds and enlarge the basin of attraction.

Main Results:

  • A novel sampled-data observer-based AW controller is proposed for the first time.
  • Simultaneous design of controller components reduces conservatism.
  • The convex optimization algorithm effectively improves stability bounds and the basin of attraction.
  • Demonstrated effectiveness through illustrative examples.

Conclusions:

  • The proposed sampled-data observer-based AW control effectively handles actuator saturation in singularly perturbed systems.
  • Simultaneous design and convex optimization offer significant advantages in reducing conservatism and enhancing system robustness.
  • The presented methodology provides a valuable tool for advanced control system design.