Simultaneous Fault Detection and Control for Discrete-Time Switched Systems

• Published in: Circuits, systems, and signal processing Vol. 34; no. 12; pp. 3811 - 3831
• Main Authors: Zhong, Guang-Xin, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2015; Springer Nature B.V
• Subjects: Circuits; Circuits and Systems; Control systems; Controllers; Design engineering; Electrical Engineering; Electronics and Microelectronics; Engineering; Fault detection; Fault diagnosis; Instrumentation; Robust control; Robustness; Signal processing; Signal,Image and Speech Processing; Switching; Switched systems; State-dependent switching; Simultaneous fault detection and control; Output feedback
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-015-0044-2

This paper studies the simultaneous fault detection and robust control problem for discrete-time switched systems. A switching law and output feedback-based controller/detectors are designed to meet control and detection objectives. In state-dependent switching framework, the proposed switching law uses only the partial measurable states of the closed-loop switched system, which is easy to design and realize. Under the switching law, some regions in which each subsystem is activated are first constructed. Sufficient conditions are then provided such that the sensitivity to faults and robustness to unknown inputs are guaranteed in these regions, and not necessarily everywhere. Thus, the closed-loop system is with the detection and robust performances even if all subsystems are without them, which reduces the performance requirements for each subsystem in time-dependent switching framework. A solution of the considered problem is obtained via linear matrix inequalities. Finally, an example is given to show the effectiveness of the proposed method.