Event-Triggered Sliding Mode Control of Discrete-Time Markov Jump Systems with Partially Unknown Transition Probabilities

This paper is concerned with the issue of event-triggered sliding mode control for discrete-time Markov jump systems with partially unknown transition probabilities. The problems of information channel congestion are solved through the event-triggered scheme. By utilizing Lyapunov stability theory, sufficient conditions that ensure the sliding dynamics achieve the desired performance are derived. A new sliding mode control law is designed such that the reach ability, the stochastic stability and H
_α
performance are guaranteed simultaneously. Finally, a numerical example is proposed to show the effectiveness of the sliding mode control scheme.