Robust fault-tolerant control of a class of uncertain nonlinear switched systems with actuator saturation

Abstract

This paper addresses the robust fault-tolerant control problem for a class of uncertain nonlinear switched systems with actuator saturation. Our aim is to design a switching law and a robust fault-tolerant control law for guaranteeing that the closed-loop system is asymptotically stabilizable, while at the same time the attraction domain estimation is as large as possible. By using the multiple Lyapunov functions method, sufficient conditions for robust fault-tolerant stabilisation are proposed for the closed-loop system. Then, when some scalar parameters are given in advance, the problem of fault-tolerant controller design and attraction domain estimation is transformed into a convex optimisation problem with linear matrix inequality (LMI) constraints. Finally the validity of the proposed design method is verified by a numerical example.

Keywords:

• Switched systems
• fault-tolerant control
• attraction domain
• multiple Lyapunov functions
• actuator saturation

Disclosure statement

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

Additional information

Funding

This work was supported by the Scientific Research Fund of Education Department of Liaoning Province of China [grant number LJKMZ20220731]. This work was supported by the Natural Science Foundation of Liaoning Province of China [grant number 2020-MS-283].

Notes on contributors

Yahui Li

Yahui Li received the B.S. degree from Hebei Normal University Of science & technology, Now she is working towards the Master degree at school of Information and Control Engineering, Liaoning Petrochemical University, Fushun, China. Her research interest focuses on switched systems and fault-tolerant control.

Xiaoyin Li

Xiaoyin Li received the B.Sc. degree in Computer Information Management from Shenyang Normal University in Shenyang, China, in 2007. She completed her M.Sc. degree in Mathematics and Applied Mathematics from Liaoning Technical University in Fuxin, China, in 2011. Her research interests include switched systems, saturated systems and system performance optimisation.

Xinquan Zhang

Xinquan Zhang received the B.Sc. degree in Automation and M.Sc. degree in Control Theory & Engineering from Liaoning Technical University in Fuxin, China, in 2003 and 2007, respectively. He completed his Ph.D. in Control Theory and Control Engineering in 2012 at the College of Information Science & Engineering, of the Northeastern University of Shenyang, China. Since 2017, as an associate professor, he has been with School of Information and Control Engineering, Liaoning Petrochemical University, China. His research interests include switched systems, robust control and systems control under constraints.