Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching

• Published in: Applied mathematics and computation Vol. 412; p. 126585
• Main Authors: Zhao, Xiao-Qi, Guo, Shun, Long, Yue, Zhong, Guang-Xin
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2022
• Subjects: Fault detection; Persistent dwell time; Robust control; Switched systems; Switched systems; Robust control; Persistent dwell time; Fault detection
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2021.126585

•The switching rule is constructed in the frame of persistent dwell time (PDT). A switching number constraint condition derived from the average dwell time (ADT) is added to the PDT condition. This allows a much smaller dwell time lower bound of PDT, which provides more degree of freedom of designing switching signals.•Compared with the existing time invariant output feedback controllers/detectors, the proposed time varying ones matching different switching processes of PDT are constructed such that the resulting closed loop systems are with better performance.•A class of non weighted fault detection and robust control performance indexes are guaranteed under the proposed novel switching rule, which characterized the levels of fault sensibility and robustness. This paper investigates the problem of robust control and fault detection for discrete-time switched systems. The main goals are to design controller/fault detectors and a switching rule to guarantee the control and detection objectives simultaneously. The switching rule is constructed based on persistent dwell time (PDT) with an average dwell time (ADT) constraint. The introduced ADT constraint can allow a much smaller PDT lower bound to be designed, which provides more freedom of designing switching signal. Next, some time-varying dynamic output feedback controllers/detectors matching different switching processes of PDT are constructed such that the closed-loop systems meet the desired objectives. The corresponding robust control and fault detection levels can be characterized by a class of non-weighted performance indexes. Finally, the effectiveness of the proposed results is illustrated by an example.