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A robust output-feedback control scheme based on composite nonlinear feedback in singular uncertain delayed models.

Valiollah Ghaffari1, Saleh Mobayen2

  • 1Department of Electrical Engineering, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran.

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|January 29, 2025
PubMed
Summary

This study presents a robust output-feedback controller for singular systems with uncertainties, disturbances, and time-delays. The proposed observer-based compensator ensures bounded tracking errors and system states, achieving asymptotic stability.

Keywords:
Composite nonlinear feedbackOutput-feedback controlRobust controllerSimulation and comparative analysisSingular time-delay systems

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Area of Science:

  • Control Engineering
  • Nonlinear Systems Theory
  • Robust Control

Background:

  • Singular systems often exhibit complex dynamics, making robust control challenging.
  • Uncertainties, disturbances, and time-delays further degrade system performance and stability.
  • Existing control strategies may not adequately address these combined challenges.

Purpose of the Study:

  • To develop a robust output-feedback controller for singular systems.
  • To address uncertainties, disturbances, and time-delays in the control design.
  • To ensure bounded tracking errors and system stability.

Main Methods:

  • Utilizing composite nonlinear feedback for controller design.
  • Employing an observer-based compensator to estimate system states.
  • Formulating the control design as an optimization problem solvable via linear matrix inequality (LMI).

Main Results:

  • Demonstrated ultimate boundedness of tracking error and system states in the presence of disturbances and uncertainties.
  • Established asymptotic stability in the absence of external disturbances and uncertain terms.
  • Simultaneous determination of estimator and control law coefficients through LMI optimization.

Conclusions:

  • The proposed observer-based output-feedback control strategy effectively handles singular systems with uncertainties, disturbances, and time-delays.
  • The LMI-based approach provides a systematic method for designing robust controllers.
  • Simulation results validate the superiority of the proposed strategy over existing methods.