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Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances

Author

Listed:
  • Kavikumar, R.
  • Kwon, O.M.
  • Sakthivel, R.
  • Lee, S.H.
  • Choi, S.G.
  • Priyanka, S.

Abstract

The composite fault-tolerant control problem for semi-Markov jumping nonlinear systems with time delays, uncertainties faults and multiple disturbances is addressed in this paper. The main intention of this work is to design a sliding mode control (SMC) law via an interval type-2 (IT2) fuzzy approach in such a way that it attenuates and rejects the impacts of uncertainty, nonlinearity, faults and external disturbances. Notably, first, an IT2 fuzzy disturbance observer is formulated to estimate the external disturbances and then an IT2 fuzzy fault diagnosis observer is designed to estimate the faults effectively. Next, a SMC-based fault-tolerant strategy is developed to compensate the diagnosed faults and disturbances satisfactorily. By using the linear matrix inequality and Lyapunov technique, the required stability constraints are developed with prescribed H∞ performance index. The importance and effectiveness of the developed composite fault-tolerant control scheme are finally validated through two numerical examples.

Suggested Citation

  • Kavikumar, R. & Kwon, O.M. & Sakthivel, R. & Lee, S.H. & Choi, S.G. & Priyanka, S., 2022. "Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    • Handle: RePEc:eee:apmaco:v:423:y:2022:i:c:s009630032200114x
    DOI: 10.1016/j.amc.2022.127028
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    References listed on IDEAS

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    1. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
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    Cited by:

    1. Zhang, Qiongwen & Cheng, Jun & Liao, Daixi & Cao, Jinde & Alsaadi, Fawaz E, 2023. "Improved Dynamic Event-Triggered Control for Nonlinear Systems with Fading Channels," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    2. Hu, Yue & Cai, Chenxiao & Lee, SeungHoon & Lee, YongGwon & Kwon, Oh-Min, 2023. "New results on H∞ control for interval type-2 fuzzy singularly perturbed systems with fading channel: The weighted try-once-discard protocol case," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    3. Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    4. Shanmugam, Lakshmanan & Joo, Young Hoon, 2023. "Adaptive neural networks-based integral sliding mode control for T-S fuzzy model of delayed nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 450(C).

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