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

• Published in: IET control theory & applications Vol. 10; no. 7; pp. 814 - 824
• Main Authors: Zhong, Guang-Xin, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 25.04.2016
• Subjects: closed loop systems; closed‐loop system; Control systems; Delay; delay systems; discrete time systems; discrete‐time switched delay systems; Disturbances; Dwell time; Fault detection; fault diagnosis; fault sensitivity; Faults; feedback; improved persistent dwell time switching; l2 ‐gain; nonweighted H_ index; PDT; residual generator; Simulation; simultaneous control; state delay; Switching; switching law design; switching systems (control); time‐varying output‐feedback‐based controller; time‐varying systems; time-varying systems; PDT; residual generator; nonweighted H_ index; fault diagnosis; fault sensitivity; delay systems; discrete time systems; fault detection; time-varying output-feedback-based controller; state delay; feedback; closed loop systems; switching law design; simultaneous control; discrete-time switched delay systems; switching systems (control); l2-gain; improved persistent dwell time switching; closed-loop system
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2015.0925

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 l2-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.