Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times

Abstract

In this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into a similar one about another DMJS. Secondly, by exploiting a switched quadratic Lyapunov function (SQLF), sufficient conditions for the designed controller are given in terms of linear matrix inequalities (LMIs). Moreover, more extensions about stabilization realized by fault-tolerant and disordered controllers are considered. Finally, two practical examples are used to show the effectiveness and practicability of the proposed methods. INDEX TERMS Markovian jump systems, partially mode-dependent controllers, dwell times, fault-tolerant controllers, disordered controllers, linear matrix inequalities.