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Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays

Author

Listed:
  • Hamid Ghadiri

    (Faculty of Electrical, Biomedical and Mechatronics Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran)

  • Hamed Khodadadi

    (Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran)

  • Saleh Mobayen

    (Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan)

  • Jihad H. Asad

    (Department of Physics, Faculty of Applied sciences, Palestine Technical University, P.O. Box 7, Tulkarm, Palestine)

  • Thaned Rojsiraphisal

    (Advanced Research Center for Computational Simulation, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Arthur Chang

    (Bachelor Program in Interdisciplinary Studies, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan)

Abstract

In this study, the challenges of the controller design of a class of Uncertain Switched Neutral Systems (USNSs) in the presence of discrete, neutral, and time-varying delays are considered by using a robust observer-based control technique. The cases where the uncertainties are normbounded and time-varying are emphasized in this research. The adopted control approach reduces the prescribed level of disturbance input on the controlled output in the closed-loop form and the robust exponential stability of the control system. The challenge of parametric uncertainty in USNSs is solved by designing a robust output observer-based control and applying the Yakubovich lemma. Since the separation principle does not generally hold in this research, the controller and observer cannot be designed separately, sufficient conditions are suggested. These conditions are composed of applying the average dwell time approach and piecewise Lyapunov function technique in terms of linear matrix inequalities, which guarantees robust exponential stability of the observer-based output controller. Finally, two examples are given to determine the effectiveness of the proposed method.

Suggested Citation

  • Hamid Ghadiri & Hamed Khodadadi & Saleh Mobayen & Jihad H. Asad & Thaned Rojsiraphisal & Arthur Chang, 2021. "Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays," Mathematics, MDPI, vol. 9(19), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2473-:d:649283
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    References listed on IDEAS

    as
    1. Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.
    2. Sakthivel, R. & Karthick, S.A. & Kaviarasan, B. & Lim, Yongdo, 2017. "Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 129-147.
    3. Liu, Duyu & Zhong, Shouming & Liu, Xinzhi & Huang, Yuanqing, 2009. "Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 436-448.
    4. Jiraporn Janwised & Ben Wongsaijai & Thanasak Mouktonglang & Kanyuta Poochinapan, 2014. "A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-11, April.
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