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Robust finite-time H∞ control for Itô stochastic semi-Markovian jump systems with delays

Author

Listed:
  • Sun, Shaoxin
  • Dai, Xin
  • Wang, Zhiliang
  • Zhou, Yu
  • Xie, Xiangpeng

Abstract

This paper concentrates on robust finite-time H∞ control for uncertain Itô stochastic semi-Markovian jump systems with generally uncertain transition rates, multiple state delays and input constraint. There are few attempts for Itô stochastic semi-Markovian jump systems with generally uncertain transition rates. In contrast to the existing results, the system explored in this paper is more general and has more potential applications. By means of the partial transition rate information, a semi-Markovian jump controller is developed to realize fault-tolerant control. Then, a closed-loop system can be gathered. Moreover, a cluster of stability conditions are attained via stochastic Lyapunov function with the way of linear matrix inequalities. Finally, two examples are presented to illustrate this effectiveness of the approach depicted in the work.

Suggested Citation

  • Sun, Shaoxin & Dai, Xin & Wang, Zhiliang & Zhou, Yu & Xie, Xiangpeng, 2022. "Robust finite-time H∞ control for Itô stochastic semi-Markovian jump systems with delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    • Handle: RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322002557
    DOI: 10.1016/j.amc.2022.127181
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    References listed on IDEAS

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    1. Kang, Wei & Gao, Qingfei & Cao, Menglong & Cheng, Jun, 2020. "Finite-time control for Markovian jump systems subject to randomly occurring quantization," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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