DELAY-DEPENDENT H_∞ CONTROL FOR MARKOVIAN JUMP SYSTEMS WITH DELAYS VARYING IN A RANGE

摘要

This paper presents a new method for H_∞ state feedback controller design of Markovian jump systems with delays varying in a range. Firstly, results on delay-dependent stability and H_∞ performance are established by exploiting a new Lyapunov functional making full use of information about time delay and Jensen's inequality. Neither free weighting variables nor model transformation is used in the derivation of less conservative criteria. Secondly, based on the obtained conditions, a new design of state feedback controller is developed in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are presented to show the advantage and validity of the proposed approaches.