Composite Anti-Disturbance Control of Positive Markov Jump Systems With Disturbances and Time-Varying Delay

In this paper, the control problem of a positive Markov jump system with multiple disturbances and time-varying delay is considered. First, the analysis of stochastic stability and LI performance of positive Markov jump systems (PMJSs) with delay is given. Based on disturbance observer-based control (DOBC) and L 1 control, a composite anti-disturbance controller for PMJSs is proposed, under which the closed-loop Markov system is stochastically stable and positive and the effect of disturbances can be reduced to satisfy the given performance index. Finally, an illustrative example is presented to show the effectiveness of the proposed scheme.