Tracking Control Design for Markov Jump Systems With Time-varying Delay and External Disturbances

This article intends to provide an effective output tracking control protocol and enhanced disturbance rejection performance for a class of continuous-time Markov jump systems (MJSs) with time-varying delay and external disturbances. Precisely, enhanced EID strategy combined with a proportional integral control is proposed to solve the output tracking problem for the addressed systems. In particular, an enhanced EID strategy can deal with the system flexibility and to increase disturbance rejection performance. The needed gain values for assuring the mean-square asymptotic stability of the MJSs are identified with the help of the Lyapunov-Krasovskii functional and linear matrix inequalities. The approach described in this paper can improve output tracking and disturbances rejection performance than some exiting results, which is explored through simulation results. Moreover, the legality of theoretical explorations is also verified by the RLC series circuit model.