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Robust observer-based passive control for uncertain singular time-delay systems subject to actuator saturation.

Yuechao Ma1, Pingjing Yang1, Yifang Yan1

  • 1College of Science, Yanshan University, Qinhuangdao Hebei 066004, PR China.

ISA Transactions
|January 15, 2017
PubMed
Summary

This study presents robust passive control for uncertain singular time-delay systems with actuator saturation. The method ensures system stability and strict passivity, offering a guaranteed domain of attraction.

Keywords:
Actuator saturationLinear matrix inequalityObserver-based state feedbackPassive controlSingular time-delay systems

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Systems Analysis
  • Systems Theory

Background:

  • Singular time-delay systems are prevalent in various engineering applications.
  • Actuator saturation and system uncertainties pose significant challenges in control design.
  • Observer-based control is crucial for systems where states are not directly measurable.

Purpose of the Study:

  • To develop a robust observer-based passive control strategy for uncertain singular time-delay systems with actuator saturation.
  • To ensure regularity, impulse-freeness, stability, and strict passivity of the closed-loop system.
  • To determine a domain of attraction for guaranteed asymptotic convergence.

Main Methods:

  • A polytopic approach is employed to model actuator saturation.
  • Lyapunov-Krasovskii functional is constructed to derive stability conditions.
  • Linear Matrix Inequalities (LMIs) are utilized for controller and observer design.
  • Convex optimization is used to solve for the domain of attraction.

Main Results:

  • A less conservative sufficient condition for robust strict passivity is established.
  • Effective design methods for the state feedback controller and observer are presented.
  • The domain of attraction is explicitly computed, ensuring convergence of admissible initial states.

Conclusions:

  • The proposed observer-based passive control method effectively handles actuator saturation and system uncertainties.
  • The developed technique guarantees desirable system properties including stability and strict passivity.
  • Simulation results validate the effectiveness and superiority of the presented approach.