Finite-horizon H_∞ filtering and fault isolation for a class of time-varying systems with sensor saturation

Abstract

This paper is concerned with the finite-horizon $H_{\mathrm{\infty }}$ filtering and fault isolation problems for a class of discrete time-varying systems subject to possible actuator fault and sensor saturation. A set of filters are designed and the residual signal is generated for a specific actuator fault. A residual matching approach is proposed to isolate different actuator failures once they are detected. The purpose of the addressed problem is to detect and isolate the fault such that the influence from the disturbances onto the errors satisfies the $H_{\mathrm{\infty }}$ performance index. By using the stochastic analysis techniques and completing squares method, sufficient conditions are established for the existence of the desired filters, whose parameters can be iteratively calculated online by solving a series of recursive Riccati different equations (RDEs), in a given finite horizon. The effectiveness of the proposed method is demonstrated via a simulation example.

Keywords:

• $H_{\mathrm{\infty }}$ filtering
• sensor saturation
• fault isolation
• discrete time-varying system

Acknowledgments

This work was supported by National Key Research and Development Program of China under Grant 2017YFA0700300, National Natural Science Foundation of China under Grants 61733009, Natural Sciences Foundation of Guangdong Province under Grant 2018B030311054, and BNRist Program under Grants BNR2019TD01009.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by National Key Research and Development Program of China under [grant number 2017YFA070-0300], National Natural Science Foundation of China under [grant number 61733009], Natural Sciences Foundation of Guangdong Province under [grant number 2018B030311054], and BNRist Program under [grant number BNR2019TD01009.

Notes on contributors

Yamei Ju

Yamei Ju received the B.Sc. degree in Process Equipment and Control Engineering from Zaozhuang University, Zaozhuang, China, in 2014 and the M.Sc. degree in Mechanical Engineering in 2017 from Changchun University of Technology, Changchun, China, and the Ph.D. degree in Control Science and Control Engineering from the University of Shanghai for Science and Technology, Shanghai, China. She is currently a Postdoctoral Research Fellow with the School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai, China. Her current research interests include networked control systems, fault detection and fault tolerant control.

Yang Liu

Yang Liu received the B.Sc. degree and the Ph.D. degree in the Department of Automation at Tsinghua University, Beijing, China, in 2010 and 2016, respectively. From August 2016 to September 2018, he worked as a Postdoctoral Researcher in the College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China. He is currently an associate professor in the same department. His research interests include closed-loop systems, neural networks as well as fault detection and diagnosis.

Xiao He

Xiao He received the B.E. degree in information technology from the Beijing Institute of Technology, Beijing, China, in 2004, and the Ph.D. degree in control science and engineering from Tsinghua University, Beijing, China, in 2010. Currently, he is a tenured Associate Professor with the Department of Automation, Tsinghua University. He has authored more than 60 papers in refereed international journals. His research interests include fault diagnosis and fault tolerant control, networked systems, Cyber-Physical Systems, as well as their application. Dr. He is now a Full Member of Sigma Xi, the Scientific Research Society, and a Senior Member of Chinese Association of Automation. He is an Associate Editor of the Control Engineering Practice.

Bangcheng Zhang

Bangcheng Zhang received the B.Eng. and M. Eng. degrees in Changchun University of Technology, Changchun, China, in 1995 and 2004, respectively, and Ph.D. degree in Jilin University, Changchun, China, in 2011. He is a Professor of Changchun University of Technology, Changchun. He has been the academic visitor of Tsinghua University, Beijing, China, in 2007. He has published about 20 articles. His research interests include mechatronics measurement technique and fault diagnosis.