Observer based sliding mode control for a class of continue-time Markov jump systems

In this paper, the problem of sliding mode output feedback for a class of continue-time Markov jump systems with some unmeasured states is investigated. An observer is designed to estimate the system states, and a sliding mode controller is synthesized for driving the system to reach to and maintain on the sliding mode. Sufficient conditions for the existence of the controller under which the underlying system are stochastically stabilized are derived via LMIs. A numerical example shows the validity and potential of the developed results.