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Observer-based quantized sliding mode dissipative control for singular semi-Markovian jump systems

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  • Kong, Chuifeng
  • Ma, Yuechao
  • Liu, Deyou

Abstract

This paper investigates the dissipative sliding mode control of singular semi-Markovian jump system (S-MJS) with nonlinear term and time-varying delay via an adjustable quantized approach. Different from the existing methods, we propose a novel common integral sliding surface to weaken the effect of mode jumping. Then, the sliding mode controller with the quantized output measurement has been developed, by more extensive practical application points of view. Based on linear matrix inequality technique, sufficient conditions are derived to ensure the stochastically admissible and strictly dissipative of the closed-loop system, at the same time to guarantee the sliding mode reachability. Finally, three numerical examples are given to demonstrate the practical applicability, less conservation and the feasibility of the method.

Suggested Citation

  • Kong, Chuifeng & Ma, Yuechao & Liu, Deyou, 2019. "Observer-based quantized sliding mode dissipative control for singular semi-Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:38
    DOI: 10.1016/j.amc.2019.06.053
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    References listed on IDEAS

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    1. Fu, Lei & Ma, Yuechao, 2016. "Passive control for singular time-delay system with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 181-193.
    2. Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.
    3. Liu, Yangfan & Ma, Yuechao & Wang, Yanning, 2018. "Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 341-357.
    4. Zhao, Wenying & Ma, Yuechao & Chen, Aihong & Fu, Lei & Zhang, Yutong, 2019. "Robust sliding mode control for Markovian jump singular systems with randomly changing structure," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 81-96.
    5. Zhou, Qi & Yao, Deyin & Wang, Jiahui & Wu, Chengwei, 2016. "Robust control of uncertain semi-Markovian jump systems using sliding mode control method," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 72-87.
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    Cited by:

    1. Yu, Peng & Ma, Yuechao, 2020. "Observer-based asynchronous control for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    2. Zhao, Yinghong & Ma, Yuechao, 2021. "Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 407(C).

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