Stabilization of singular Markovian jump systems by observer-based controllers

This paper considers the problem of designing an observer-based controller for a kind of singular Markovian jump systems. Different from the existing methods, several conditions in terms of mode-dependent are developed within linear matrix inequality (LMI) framework. In order to ultimately solve such problems, two different techniques to deal with the cross terms are proposed, where new variables satisfying new inequalities are introduced. A numerical example is presented to show the effectiveness and superiority of the proposed results.