Stabilisation of Uncertain Markovian Jump Singular Systems with Wiener Process

Authors:	Raouf Jamila, Ecole Polytechnique de Montreal, Canada Boukas El-Kebir, Ecole Polytechnique de Montreal, Canada
Topic:	1.4 Stochastic Systems
Session:	Control, Estimation and Analysis of Stochastic Systems
Keywords:	Singular system, Stochastic jump processes, Stability, Robust control.

Abstract

In this paper, first one deals with the stabilityand the stabilizability problems for the class of Markovian jump continuous-time singular systems. Next, one will address the robustness problem. The proposed approachesderive sufficient conditions such that the regularity and theabsence of impulses are assured as well as the stochasticstability and robust stochastic stability. Also, state feedbackcontrol laws are designed to guarantee that the resultingclosed-loop system, with and without parameter uncertainties isregular, impulse free and stochastically stable too. All theobtained results are based on strict linear matrix inequalitytechnique.