Robust Output Feedback H∞ Control of Uncertain Markovian Jump Systems with Mode-Dependent Time-Delays

This paper describes the synthesis of robust output feedback H_infin control for a class of uncertain Markovian jump linear systems with time-delays which are time-varying and depend on the system modes of operation. Under the assumption of known bounds of system uncertainties and the control system gain variations, we present sufficient conditions on the existence of robust stochastic stability and gamma-disturbance H_infin attenuation. As an added advantage, the control design depends only on p_mj,t ^o , the observed parameter of Markovian jumping at time t, which might be corrupted by observation noises