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Finite-time fault tolerant control of uncertain singular Markovian jump systems with bounded transition probabilities

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Abstract

This paper is concerned with the problem of finite-time fault-tolerant control for one family of uncertain singular Markovian jump with bounded transition probabilities and nonlinearities systems. The actuator faults are presented as a more general and practical continuous fault model. Partially known transition rate parameters have given lower and upper bounds. Firstly, the resulting closed-loop error system is constructed based on a state estimator; sufficient criteria are provided to guarantee that the augmented system has singular stochastic finite-time boundedness and singular stochastic \(H_\infty \) finite-time boundedness in both normal and fault cases. Then, by employing a decoupling technique, the gain matrices of state feedback controller and state estimator are achieved by solving a feasibility problem in terms of linear matrix inequalities with a fixed parameter, respectively. Finally, numerical examples are given to demonstrate the effectiveness of the proposed design approach.

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Acknowledgments

This Letter was supported by the National Natural Science Foundation of China No. 61273004 and the Natural Science Foundation of Hebei province No. F2014203085.

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Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuechao Ma & Hui Chen

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  1. Yuechao Ma
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  2. Hui Chen
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Correspondence to Hui Chen.

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Communicated by Josselin Garnier.

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Ma, Y., Chen, H. Finite-time fault tolerant control of uncertain singular Markovian jump systems with bounded transition probabilities. Comp. Appl. Math. 36, 929–953 (2017). https://doi.org/10.1007/s40314-015-0271-y

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  • DOI: https://doi.org/10.1007/s40314-015-0271-y

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