Extended Mode-Dependent Persistent Dwell-Time Switching With Multi-Stage Dependent Modification or Averaging for Discrete-Time Switched Systems

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 70; no. 9; pp. 3424 - 3428
• Main Authors: Shen, Qian, Chen, Yihan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Discrete time systems; Discrete-time switched systems; Dwell time; Electronic mail; extended mode-dependent persistent dwell-time; Lower bounds; multi-stage dependent averaging; multi-stage dependent modification; Real-time systems; Runtime; Stability criteria; Switched systems; Switches; Switching; Symmetric matrices
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2023.3258481

In this brief, extended mode-dependent persistent dwell-time (EMDPDT) switching with the slow- and fast-switching areas of the mode-dependent feature is presented for a class of discrete-time switched systems (DTSSs). Further, to loosen the dwell-time restriction on slow-switching areas in the original MDPDT regularity, two novel principles of multi-stage dependent modification (MSDM) and multi-stage dependent averaging (MSDA) are launched. By means of MSDM (or MSDA), stability criteria are supplied for DTSSs under the EMDPDT switching, where smaller MDPDT lower bounds can be achieved for non-first stages (or partially random stages) in divided units formed by multiple stages. Meanwhile, at the cost of computation consumption, MSDM allows a lower total dwell-time restriction than MSDA. Finally, the efficiency and flexibility of EMDPDT with MSDM/MSDA are illustrated by an inverter example.