Performance-improved finite-time fault-tolerant control for linear uncertain systems with intermittent faults: an overshoot suppression strategy

Abstract

This paper presents a novel prespecified finite-time and overshoot-restrained fault-tolerant tracking control scheme to compensate the intermittent faults in linear uncertain systems. Starting from the system tracking error dynamics model, we design a speed excitation function to improve the response speed of the control. A finite-time performance index function is established in the zero-sum game framework for the fault-free ${\mathcal{H}}_{\mathrm{\infty }}$ optimal control policy. Based on Lyapunov stability theory, a fault compensation oriented fault estimation and diagnosis method is proposed to ensure the uniformly ultimately bounded stability of tracking errors. It is noteworthy that the proposed speeding fault-tolerant control can accelerate the trajectory tracking, narrow the upper bound of tracking errors and restrain the overshoot. Numerical and practical experiments fully illustrate the effectiveness of the proposed strategy.

Keywords:

• Fault-tolerant control
• predetermined finite-time stability
• intermittent faults
• overshoot suppression
• adaptive dynamic programming

Data availability statement

The authors confirm that the data supporting the findings of this study are available within the article.

Disclosure statement

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

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant numbers 62033008, 61733009].

Notes on contributors

Miao Cai

Miao Cai received the B.S. degree in automation from Nanjing University of Science and Technology, Nanjing, China, in 2019. He is currently pursuing the Ph.D. degree with the Department of Automation, Tsinghua University, Beijing, China. His research interests include fault diagnosis and fault-tolerant control, as well as their application.

Xiao He

Xiao He received the B.Eng. degree in information technology from 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. He is currently a tenured professor with the Department of Automation, Tsinghua University. He has authored more than 100 papers in refereed international journals. His research interests include fault diagnosis and fault-tolerant control, networked systems, cyber-physical systems, as well as their applications. Dr. He is now a Full Member of Sigma Xi, the Scientific Research Society, a Senior Member of the Chinese Association of Automation, and a Senior Member of the IEEE. He is an Associate Editor of the Control Engineering Practice.

Donghua Zhou

Donghua Zhou received the B.Eng., M.Sci., and Ph.D. degrees in electrical engineering from Shanghai Jiao Tong University, Shanghai, China, in 1985, 1988, and 1990, respectively. He was an Alexander von Humboldt Research Fellow with the University of Duisburg, Duisburg, Germany, from 1995 to 1996, and a Visiting Scholar with Yale university, New Haven, CT, USA, from 2001 to 2002. He joined Tsinghua University, Beijing, China, in 1996, and was promoted as a Full Professor in 1997, he was the Head of the Department of Automation, Tsinghua University, during 2008 and 2015. He is currently a Vice President with the Shandong University of Science and Technology, Qingdao, China, and a Joint Professor with Tsinghua University. He has authored or coauthored more than 210 peer-reviewed international journal papers and seven monographs in the areas of fault diagnosis, fault-tolerant control, and operational safety evaluation. Dr. Zhou is a Fellow of CAA and IET, a member of IFAC TC on SAFEPROCESS, an Associate Editor for the Journal of Process Control, the Vice Chairman of the Chinese Association of Automation (CAA), and the TC Chair of the SAFEPROCESS committee, CAA. He was also the NOC Chair of the 6th IFAC Symposium on SAFEPROCESS 2006.