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control for conic non-linear jump systems with partially unknown transition probabilities

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Listed:
  • Yingqi Zhang
  • Yan Shi
  • Xiaowu Mu
  • Caixia Liu

Abstract

In this paper, the robust H∞ control problem is investigated for conic non-linear stochastic jump systems with partially unknown transition probabilities and uncertain exogenous disturbance. By resorting to free-connection weighting matrix approach and matrix decomposition technique, two less conservative criteria are derived such that the nominal or uncertain Markovian jump non-linear systems are stochastically stable and have an H∞ attention level. In addition, stochastic H∞ control analysis and design are tackled for the class of stochastic jump systems by applying fixed weighting matrix method. Two numerical examples are presented to verify the effectiveness of theoretical results.

Suggested Citation

  • Yingqi Zhang & Yan Shi & Xiaowu Mu & Caixia Liu, 2017. "control for conic non-linear jump systems with partially unknown transition probabilities," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2976-2984, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2976-2984
    DOI: 10.1080/00207721.2017.1365971
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    References listed on IDEAS

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    1. Jinghao Li & Qingling Zhang & Xing-Gang Yan, 2015. "Stabilisation of descriptor Markovian jump systems with partially unknown transition probabilities," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 218-226, January.
    2. Mao, Xuerong, 1999. "Stability of stochastic differential equations with Markovian switching," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 45-67, January.
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    Cited by:

    1. Wang, Jiancheng & He, Shuping & Luan, Xiaoli & Liu, Fei, 2020. "Fuzzy fault detection of conic-type nonlinear systems within the finite frequency domain," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Xia, ZeLiang & He, Shuping, 2022. "Finite-time asynchronous H∞ fault-tolerant control for nonlinear hidden markov jump systems with actuator and sensor faults," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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