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

Abstract

In this brief, extended mode-dependent persistent dwell-time (EMDPDT) switching with the slow-and fast-switching areas of the mode-dependent feature, where subsystems separately run for not less and less than the MDPDT, is presented for a class of discrete-time switched systems (DTSSs). The existing MDPDT is shown to be a special case of the proposed EMDPDT. 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, which indicates the predictable applicability of the presented switching for practical switched applications.