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Fault-Tolerant Control for Markovian Jump Delay Systems with an Adaptive Observer Approach

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Abstract

This paper investigates the problem of fault estimation and fault-tolerant control for a class of Markovian jump systems with mode-dependent interval time-varying delay and Lipschitz nonlinearities. In this paper, a new adaptive fault observer is designed to solve the problem of fault estimation. The proposed observer can estimate the states and faults simultaneously, whether faults are of time-varying or constant characterization. Based on the fault estimation, a fault-tolerant controller is designed to stabilize the closed-loop system. Sufficient conditions for the existence of the observer gain and fault-tolerant controller gain are got by a set of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the proposed fault-tolerant control method.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (61473096), and in part by the New Century Excellent Talents Program of the Ministry of Education of the Peoples Republic of China under Grant NCET-13-0170.

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Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Liheng Chen & Xianlin Huang

  2. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Shasha Fu

Authors
  1. Liheng Chen
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  2. Xianlin Huang
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  3. Shasha Fu
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Correspondence to Xianlin Huang.

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Chen, L., Huang, X. & Fu, S. Fault-Tolerant Control for Markovian Jump Delay Systems with an Adaptive Observer Approach. Circuits Syst Signal Process 35, 4290–4306 (2016). https://doi.org/10.1007/s00034-016-0277-8

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