Abstract
AbstractThis paper deals with the problem of stochastic stability of a class of discrete-time reconfigurable control systems with Markovian parameters. In this class of system, two Markovian processes are considered. The first one is used to model random failures affecting the plant and the second one is used to describe the decisions of a fault detection and isolation (FDI) algorithm. These Makovian processes are supposed to be nonhomogeneous, that is there transition probabilities (TPs) are time-varying. The time-varying character is considered to be in a polytopic sense. The approach followed in this note is based on the use of a parameter dependent stochastic Lypaunov function. We give a stability condition in terms of a linear matrix inequalities (LMI) feasibility problem. The obtained results are illustrated on a numerical example.
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