Dynamic Output-Feedback Dissipative Control for Singular Markovian Jump Systems

Abstract

This paper considers a dynamic output-feedback dissipative control for continuous-time singular Markovian jump systems. First, the condition for stochastic admissibility with strict-dissipativity for unforced singular Markovian jump systems (SMJSs) is obtained in terms of linear matrix inequalities (LMIs). Since the stochastic admissibility criterion with strict-dissipativity for closed-loop SMJS with dynamic output-feedback control is obtained in terms of non-convex matrix inequalities, a specially designed block matrices are used for congruence transformation to reformulate it into strict LMIs. Two numerical examples illustrate the validity of the proposed method.