Simultaneous control and fault detection for discrete‐time switched delay systems under the improved persistent dwell time switching

Abstract

This study is devoted to simultaneous control and fault detection for discrete-time delay switched systems. In the persistent dwell time (PDT) switching framework, a more general switching law is designed, where the resulting PDT is dependent on the state delay. For delay switched systems, the result shows the relation between PDT and state delay. More importantly, it also includes the previous delay-independent results in special case. Next, under the switching law, the time-varying output-feedback-based controller/residual generators are provided such that the closed-loop system is with the non-weighted H _ index for fault and l 2-gain for disturbance. Compared with the existing method under the average dwell time switching, the method proposed here leads to better fault sensitivity. Finally, a simulation example is exploited to demonstrate the effectiveness of the proposed results.