Sliding mode control for Markovian jumping systems subject to partially known transition rate

This paper investigates the problem of sliding mode control for a class of stochastic Markovian jumping systems with partially known transition rate. A key feature in this work is to relax the requirement that all the elements in transition rate matrix are known, which is usually encountered in some existing works. It is shown that the reachability of the specified sliding surface can be ensured by the designed sliding mode controller. Besides, the sufficient conditions for the stability of the sliding motion on the sliding surface are also derived.