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Uncertainty and disturbance estimator-based resilient tracking control design for fuzzy semi-Markovian jump systems

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  • Harshavarthini, S.
  • Kwon, O.M.
  • Lee, S.M.

Abstract

The focus of this paper is on solving the state tracking control problem for a class of fuzzy semi-Markovian jump systems with the aid of fuzzy modeling approach. Besides, the impact of both unexpected disturbances and uncertainties in fuzzy semi-Markovian jump systems is considered. In particular, the nonlinearity in the addressed system is represented by the T-S fuzzy model, wherein the disturbances and uncertainties are estimated by precisely considering uncertainty and disturbance estimator (UDE)-based control approach. Whilst, the desired fuzzy rule-based mode-dependent control law is formulated by exploiting the parallel distributed compensation strategy and estimated output of disturbances and uncertainties. In the proposed tracking control scheme, the resilient strategy is considered to overcome the impact of gain perturbations. Further, in terms of LMIs, a set of sufficient constraints is derived in accordance with the appropriate selection of mode-dependent fuzzy rule-based Lyapunov function. Under which, the asymptotic tracking and enhanced disturbance rejection performances are guaranteed for the system under consideration. Notably, the desired control gain matrices are determined by solving the derived sufficient conditions via MATLAB LMI toolbox. Conclusively, a single-link robot arm model is adopted to justify the practicability and efficacy of the theoretical findings.

Suggested Citation

  • Harshavarthini, S. & Kwon, O.M. & Lee, S.M., 2022. "Uncertainty and disturbance estimator-based resilient tracking control design for fuzzy semi-Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002077
    DOI: 10.1016/j.amc.2022.127123
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    References listed on IDEAS

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    1. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    2. Zhang, Zhiming & Zheng, Wei & Lam, H.K. & Wen, Shuhuan & Sun, Fuchun & Xie, Ping, 2020. "Stability analysis and output feedback control for stochastic networked systems with multiple communication delays and nonlinearities using fuzzy control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    3. Wang, Guoliang & Li, Zhiqiang & Zhang, Qingling & Yang, Chunyu, 2017. "Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 377-393.
    4. Chang, Xiao-Heng & Jin, Xue, 2022. "Observer-based fuzzy feedback control for nonlinear systems subject to transmission signal quantization," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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