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Extended dissipativity-based non-fragile sampled-data control of fuzzy Markovian jump systems with incomplete transition rates

Author

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  • Xu, Tianshu
  • Xia, Jianwei
  • Wang, Sanxia
  • Lian, Yuxiao
  • Zhang, Huasheng

Abstract

This article addresses the topic of extended dissipative analysis and non-fragile sampled-data control for fuzzy markovian jump systems with incomplete transition rates, where the extended dissipative analysis unifies the L2−L∞,H∞, passivity, (Q, S, R)-dissipativity performance in a framework. First, by making the best of the information in the sampling interval, an appropriate closed-loop function dependent sampling interval is constructed. Then, with the addition of free-weighting matrices approach and improved integral inequality technique, sufficient conditions are obtained to ensure the considered systems are stochastically stable and extended dissipative, respectively. Furthermore, the corresponding two form of non-fragile mode-dependent sampled-data controllers are also designed. Finally, a simulation example is offered to verify the feasibility of the results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302277
    DOI: 10.1016/j.amc.2020.125258
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    References listed on IDEAS

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    1. Zhao, Nan-Nan & Wu, Li-Bing & Ouyang, Xin-Yu & Yan, Yan & Zhang, Rui-Yan, 2019. "Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. 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.
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    Cited by:

    1. Lee, Won Il & Park, Bum Yong & Kim, Sung Hyun, 2022. "Relaxed observer-based stabilization and dissipativity conditions of T-S fuzzy systems with nonhomogeneous Markov jumps via non-PDC scheme," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    2. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    3. 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).

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