Output Tracking Control for Time-delay Stochastic Jumping Systems

This paper addresses the output tracking control problem for continuous time-delay Markov jump systems (MJSs) with unknown inputs. The tracking error system is constructed based on the observer-based controllers which parameters depend on the jump mode, and the jump observer based controller is also developed to reduce the tracking error as small as possible for all bounded reference inputs. Sufficient conditions are derived for asymptotic output tracking controllers in the format of linear matrix inequalities and the jump observer in the sense of Lyapunov asymptotic stability. At last, a simulation example is given to demonstrate the effectiveness of the design procedures and asymptotic tracking performance of the proposed approach.