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Robust Observer Based Fault-tolerant Control for One-sided Lipschitz Markovian Jump Systems with General Uncertain Transition Rates

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Abstract

This paper presents an integrated design of adaptive sliding mode observer and fault-tolerant control for a class of one-sided Lipschitz Markovian jump systems with general uncertain transition rates. In the design process, an adaptive sliding mode observer is first constructed to estimate the states of the original system without knowing any information of the unknown input. Then a fault-tolerant control strategy is therefore proposed to stabilize the closed-loop system against the unknown input. Sufficient conditions of the existences of the designed observer and controller are deduced in the forms of linear matrix inequalities. In the end, several examples are given to illustrate the effectiveness and make some comparisons with other results.

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Author information

Authors and Affiliations

  1. Feifei Chen is with the School of Electronic and Electric Engineering, Shanghai University of Engineering Science, Shanghai, 201620, P. R. China

    Feifei Chen

  2. School of Electronic and Electric Engineering, Shanghai University of Engineering Science, Shanghai, 201620, P. R. China

    Dunke Lu & Xiaohang Li

  3. School of Electric Engineering and Automation, Henan Polytechnic University, Henan, 454400, P. R. China

    Xiaohang Li

Authors
  1. Feifei Chen
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  2. Dunke Lu
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  3. Xiaohang Li
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Corresponding author

Correspondence to Dunke Lu.

Additional information

Recommended by Editor Hamid Reza Karimi. This research was supported by Shanghai sailing plan under Grant No,17YF1407300 and national natural science foundation under Grant No.61803256, and in part by the Talent Program of Shanghai University of Engineering Science.

Feifei Chen is an M.S. student majoring in Transportation Engineering in Shanghai University of Engineering Science, Shanghai, China. Her research interests include observer design and fault tolerant control.

Dunke Lu received the M.S. degree in measurement technology and instrumentation from the University of Shanghai for Science and Technology, Shanghai, China, in 2010, the M.S. degree in analytical instruments, measurement and sensor technology from Hochschule Coburg, Coburg, Germany, in 2010, and the Ph.D. degree from the University of Shanghai for Science and Technology, in 2014. He is currently a Lecturer with the Shanghai University of Engineering Science, Shanghai. His current research interests include test and detection technique, fault-tolerant control, and fault diagnosis.

Xiaohang Li received the M.S. and Ph.D. degrees in control theory and control engineering from Tongji University, Shanghai, China, in 2016. She is currently a Lecturer with the Shanghai University of Engineering Science, Shanghai. Her current research interests include observer design, model-based fault detection, and fault tolerant control.

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Chen, F., Lu, D. & Li, X. Robust Observer Based Fault-tolerant Control for One-sided Lipschitz Markovian Jump Systems with General Uncertain Transition Rates. Int. J. Control Autom. Syst. 17, 1614–1625 (2019). https://doi.org/10.1007/s12555-018-0432-z

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  • DOI: https://doi.org/10.1007/s12555-018-0432-z

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