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Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties

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  • Chang, Xiao-Heng
  • Xiong, Jun
  • Park, Ju H.

Abstract

In this paper, the problem of robust dynamic output feedback control for a class of discrete-time nonlinear systems with parametric uncertainties is studied. The parametric uncertainties are assumed to be of a linear fractional form. First, the Takagi–Sugeno (T–S) fuzzy model is employed to represent the nonlinear system. Then, novel approaches are developed to design the dynamic output feedback controller and sufficient conditions for robust stabilization are obtained in the form of linear matrix inequalities (LMIs). The proposed approaches not only have abilities to effectively handle the parametric uncertainties but also are suitable for the fuzzy system with immeasurable premise variables. Simulation examples are presented to illustrate the design procedures and the effectiveness of the proposed methods.

Suggested Citation

  • Chang, Xiao-Heng & Xiong, Jun & Park, Ju H., 2016. "Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 213-225.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:213-225
    DOI: 10.1016/j.amc.2016.07.001
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    References listed on IDEAS

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    1. Du, Xiao-Kun & Zhao, Hui & Chang, Xiao-Heng, 2015. "Unknown input observer design for fuzzy systems with uncertainties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 108-118.
    2. Tang, Ze & Park, Ju H. & Lee, Tae H., 2016. "Dynamic output-feedback-based H∞ design for networked control systems with multipath packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 121-133.
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    Cited by:

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    3. Li, Yueyang & Liu, Shuai & Zhong, Maiying & Ding, Steven X., 2018. "State estimation for stochastic discrete-time systems with multiplicative noises and unknown inputs over fading channels," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 116-130.
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    7. Jorge Muñoz & Francesco Piqué & Concepción A. Monje & Egidio Falotico, 2021. "Robust Fractional-Order Control Using a Decoupled Pitch and Roll Actuation Strategy for the I-Support Soft Robot," Mathematics, MDPI, vol. 9(7), pages 1-16, March.
    8. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.
    9. Dong, Jiuxiang & Hou, Junteng, 2017. "Output feedback fault-tolerant control by a set-theoretic description of T–S fuzzy systems," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 117-134.
    10. Gholami, Hadi & Shafiei, Mohammad Hossein, 2021. "Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 389(C).

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