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Sensor Fault Estimation and Fault-Tolerant Control for a Class of Takagi-Sugeno Markovian Jump Systems with Partially Unknown Transition Rates Based on the Reduced-Order Observer

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Abstract

This paper addresses the problem on sensor fault estimation and fault-tolerant control for a class of Takagi-Sugeno Markovian jump systems, which are subjected to sensor faults and partially unknown transition rates. First, the original plant is extended to a descriptor system, where the original states and the sensor faults are assembled into the new state vector. Then, a novel reducedorder observer is designed for the extended system to simultaneously estimate the immeasurable states and sensor faults. Second, by using the estimated states obtained from the designed observer, a statefeedback fault-tolerant control strategy is developed to make the resulting closed-loop control system stochastically stable. Based on linear matrix inequality technique, algorithms are presented to compute the observer gains and control gains. The effectiveness of the proposed observer and controller are validated by a numerical example and a compared study, respectively, and the simulation results reveal that the proposed method can successfully estimate the sensor faults and guarantee the stochastic stability of the resulting closed-loop system.

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Authors and Affiliations

  1. School of Electronic and Electric Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Xiaohang Li & Dunke Lu

  2. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454010, China

    Xiaohang Li

  3. Engineering Training Center, Shanghai University of Engineering Science, Shanghai, 201620, China

    Wei Zhang

  4. College of Electronics and Information Engineering, Tongji University, Shanghai, 200093, China

    Fanglai Zhu

Authors
  1. Xiaohang Li
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  2. Dunke Lu
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  3. Wei Zhang
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  4. Fanglai Zhu
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Corresponding author

Correspondence to Xiaohang Li.

Additional information

This research was supported by the National Natural Science Foundation under Grant No. 61803256, Shanghai Sailing Plan under Grant No. 17YF1407300, and in part by the Talent Program of Shanghai University of Engineering Science.

This paper was recommended for publication by Editor FENG Gang.

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Li, X., Lu, D., Zhang, W. et al. Sensor Fault Estimation and Fault-Tolerant Control for a Class of Takagi-Sugeno Markovian Jump Systems with Partially Unknown Transition Rates Based on the Reduced-Order Observer. J Syst Sci Complex 31, 1405–1422 (2018). https://doi.org/10.1007/s11424-018-6326-6

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  • DOI: https://doi.org/10.1007/s11424-018-6326-6

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