Simultaneous fault detection and control for switched systems with actuator faults

Abstract

This paper is concerned with the fault detection and control problem for discrete-time switched systems. The actuator faults, especially ‘outage cases’, are considered. The detector/controller is designed simultaneously such that the closed-loop system switches under an average dwell time, and when a fault is detected, an alarm is generated and then the controller is switched to allow the norm of the states of the subsystem to increase within the acceptable limits. Thus, a switching strategy which combines average dwell time switching with event-driven switching is proposed. Under this switching strategy, the attention is focused on designing the detector/controller such that estimation errors between residual signals and faults are minimised for the fulfillment of fault detection objectives; simultaneously, the closed-loop system becomes asymptotically stable for the fulfillment of control objectives. A two-step procedure is adopted to obtain the solutions through satisfying a set of linear matrix inequalities. An example comprising of three cases is considered. Through these cases, it is demonstrated that the fault detection and control for switched systems using a two-stage switching strategy and asynchronous switching are feasible.

Keywords:

• simultaneous fault detection and control
• switched systems
• destabilising failure
• average dwell time
• linear matrix inequality

Additional information

Funding

This work was supported in part by the Funds of National Science of China [grant number 61273148, 61420106016,61403075]; the Foundation for the Author of National Excellent Doctoral Dissertation of PR China [grant number 201157]; and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries [grant number 2013ZCX01].

Notes on contributors

Jian Li

Jian Li received his BS and MS degrees from Liaoning Technical University, China, in 2005 and 2008, respectively, and the PhD degree in control engineering from Northeastern University, China, in 2013. She currently works at the School of Automation Engineering, Northeast Dianli University, Her research interests include robust control, fault detection and switched systems.

Guang-Hong Yang

Guang-Hong Yang received his BS and MS degrees from Northeast University of Technology, Liaoning, China, in 1983 and 1986, respectively, and the PhD degree in control engineering from Northeastern University, China (formerly, Northeast University of Technology), in 1994. He was a lecturer/associate professor with Northeastern University from 1986 to 1995. He joined the Nanyang Technological University in 1996 as a postdoctoral fellow. From 2001 to 2005, he was a research scientist/senior research scientist with the National University of Singapore. He is currently a professor at the College of Information Science and Engineering, Northeastern University. His current research interests include fault-tolerant control, fault detection and isolation, non-fragile control systems design, and robust control. Dr. Yang is an associate editor for the International Journal of Control, Automation, and Systems (IJCAS), the International Journal of Systems Science (IJSS), the IET Control Theory & Applications, and the IEEE Transactions on Fuzzy Systems.