Robust control and fault detection for continuous-time switched systems subject to a dwell time constraint

• Published in: International journal of robust and nonlinear control Vol. 25; no. 18; pp. 3799 - 3817
• Main Authors: Zhong, Guang-Xin, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.12.2015; Wiley Subscription Services, Inc
• Subjects: dwell time; fault detection; robust control; state-dependent switching; switched systems
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.3299

Summary This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are first constructed in an output feedback framework. A state‐dependent switching law that obeys the dwell time constraint is then designed such that the closed‐loop switched system is asymptotically stable and also with the robust and detection performance. Further, the proposed switching law is dependent only on the partial measurable states of the closed‐loop system, which is applicable when the states of system mode are fully unavailable. Thus, our result extends the existing ones in state‐dependent switching and state‐feedback frameworks. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.