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Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults

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  • Visakamoorthi, B.
  • Subramanian, K.
  • Muthukumar, P.

Abstract

This paper investigates the dissipativity-based asynchronous sampled-data control design for a class of Takagi–Sugeno fuzzy Markovian jump systems along with time delay, gain fluctuations, and actuator failures. To do this, the hidden Markov model is introduced to describe the phenomenon of asynchronization between the controller and the given fuzzy jump systems. Then, a novel mode-dependent Lyapunov–Krasovskii functional is constructed to achieve the stability conditions and expand the maximum sampling period of fuzzy systems. The main purpose of this study is to design the asynchronous non-fragile reliable control with sampled-data information such that the mode-dependent fuzzy system is stochastically stable and possesses the dissipativity performance. For this, a sufficient condition is derived for the proposed system in the form of linear matrix inequalities. Meanwhile, the less conservative results and the desired controller are attained by solving the inequalities. At last, the validity and the superiority of our design technique are demonstrated by numerical examples.

Suggested Citation

  • Visakamoorthi, B. & Subramanian, K. & Muthukumar, P., 2022. "Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    • Handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322005288
    DOI: 10.1016/j.amc.2022.127454
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    References listed on IDEAS

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    1. Nirvin, Prasath & Rihan, Fathalla A. & Rakkiyappan, Rajan & Pradeep, Chandrasekar, 2022. "Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 588-602.
    2. 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).
    3. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.
    4. Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    5. Xu, Tianshu & Xia, Jianwei & Wang, Sanxia & Lian, Yuxiao & Zhang, Huasheng, 2020. "Extended dissipativity-based non-fragile sampled-data control of fuzzy Markovian jump systems with incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 380(C).
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    Cited by:

    1. Liu, Yiqun & Zhuang, Guangming & Zhao, Junsheng & Lu, Junwei & Wang, Zekun, 2023. "H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    2. Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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