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Fault-tolerant Control for Nonlinear Systems with Multiple Intermittent Faults and Time-varying Delays

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  • Control Theory and Applications
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Abstract

This study investigates a new fault-tolerant control method for uncertain nonlinear systems with multiple intermittent faults and time-varying delays. The considered intermittent faults appear in sensors and actuators simultaneously. A Markov chain is used to describe the random occurrence and disappearance of intermittent faults. The uncertain nonlinear system with intermittent faults is augmented as a Markovian jump system. By using H-infinity control theory and linear matrix inequality (LMI), we design fault tolerant controllers to make augmented Markovian jump system work steadily. Several sufficient conditions for stochastic stability with given H-infinity performance index and the existence of output-feedback controllers are derived. The effectiveness of the proposed fault-tolerant method is validated by a continuously stirred tank reactor (CSTR).

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Author information

Authors and Affiliations

  1. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China

    Liang Cao

  2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, and also the College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China

    Youqing Wang

Authors
  1. Liang Cao
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Corresponding author

Correspondence to Youqing Wang.

Additional information

Recommended by Associate Editor Hongyi Li under the direction of Editor PooGyeon Park. This study was supported by the National Natural Science Foundation of China under Grant 61374099 and Research Fund for the Taishan Scholar Project of Shandong Province of China.

Liang Cao received his BS degree from Beijing University of Chemical Technology, Beijing, China, in 2015, where he is currently working towards his Master’s degree in the Beijing University of Chemical Technology. His research interests include fault-tolerant control, robust control, two dimension systems, and fault diagnosis.

Youqing Wang received his BS degree from Shandong University, Jinan, Shandong, China, in 2003, and his PhD degree in control science and engineering from Tsinghua University, Beijing, China, in 2008. He worked as a research assistant in the Department of Chemical Engineering, Hong Kong University of Science and Technology, from February 2006 to August 2007. From February 2008 to February 2010, he worked as a senior investigator in the Department of Chemical Engineering, University of California, Santa Barbara, USA. From August 2015 to November 2015, he was a visiting professor in Department of Chemical and Materials Engineering, University of Alberta, Canada. Currently, he is a professor in Shandong University of Science and Technology and also Beijing University of Chemical Technology. His research interests include faulttolerant control, state monitoring, modeling and control of biomedical processes (e.g., artificial pancreas system), and iterative learning control. He is an associate editor of Multidimensional Systems and Signal Processing and Canadian Journal of Chemical Engineering. He holds membership of two IFAC Technical Committees (TC6.1 and TC8.2). He is a recipient of several research awards (including Journal of Process Control Survey Paper Prize and ADCHEM2015 Young Author Prize).

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Cao, L., Wang, Y. Fault-tolerant Control for Nonlinear Systems with Multiple Intermittent Faults and Time-varying Delays. Int. J. Control Autom. Syst. 16, 609–621 (2018). https://doi.org/10.1007/s12555-017-0123-1

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