Robust output tracking control for Markovian jump time-delay systems with uncertain mode transition rates

The robust output feedback control problem is studied for a class of Markovian jump time-delay systems with uncertain switching probabilities. Sufficent conditions on the stochastic stability with prescribed H-infinity tracking performance are proposed using a slack weighting matix method. The conditions and the optimial design of the controller are formulated as a set of direct linear matrix inequalities(LMIs). Further more, the tolerable bound of the perturbation of the mode transition rates is also presented.