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Perturbation Observer-Based Robust Control Using a Multiple Sliding Surfaces for Nonlinear Systems with Influences of Matched and Unmatched Uncertainties

Author

Listed:
  • Ha Le Nhu Ngoc Thanh

    (School of Intelligent Mechatronics Engineering, Sejong University, Seoul 143-747(05006), Korea)

  • Mai The Vu

    (School of Intelligent Mechatronics Engineering, Sejong University, Seoul 143-747(05006), Korea)

  • Nguyen Xuan Mung

    (Faculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 143-747(05006), Korea)

  • Ngoc Phi Nguyen

    (Faculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 143-747(05006), Korea)

  • Nguyen Thanh Phuong

    (HUTECH Institute of Engineering, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City 700000, Vietnam)

Abstract

This paper presents a lumped perturbation observer-based robust control method using an extended multiple sliding surface for a system with matched and unmatched uncertainties. The fundamental methodology is to apply the multiple surfaces to approximate the unknown lumped perturbations simultaneously influencing on a nonlinear single input–single output (SISO) system. Subsequently, a robust controller, based on the proposed multi-surface and the approximated values, is designed to highly improve the control performance of the system. A general stability of the lumped perturbation observer and closed-loop control system is obtained through the Lyapunov theory. Results of a numerical simulation of an illustrative example demonstrate the soundness of the proposed algorithm.

Suggested Citation

  • Ha Le Nhu Ngoc Thanh & Mai The Vu & Nguyen Xuan Mung & Ngoc Phi Nguyen & Nguyen Thanh Phuong, 2020. "Perturbation Observer-Based Robust Control Using a Multiple Sliding Surfaces for Nonlinear Systems with Influences of Matched and Unmatched Uncertainties," Mathematics, MDPI, vol. 8(8), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1371-:d:399613
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    Cited by:

    1. Ishardita Pambudi Tama & Willy Satrio Nugroho & Wayan Firdaus Mahmudy & Purnami Purnami, 2022. "The Evaluation of Technology Startup Role on Indonesian SMEs Industry 4.0 Adoption Using CLD-ABM Integrated Model," Sustainability, MDPI, vol. 14(14), pages 1-14, July.

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