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

Abstract

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.