Asynchronous output feedback control for Markov jump systems under dynamic event-triggered strategy

This article addresses the synthesis of static output feedback stabilization via employing event-based control, for discrete-time Markov jump systems subject to limited bandwidth and mismatched modes. The event-triggered communication strategy with an extra dynamic variable is considered in the design of controller to alleviate transmission burden. Then, for the purpose of further improving system performance, a special triggering threshold constructed as a diagonal matrix is introduced. Asynchronous behavior caused by mismatched modes between the controller and controlled systems is depicted by utilizing a hidden Markov model. With the assistance of output feedback theory, an asynchronous event-based output feedback control law is sufficiently formulated to achieve the stochastic stabilization with desired H infinity$$ {H}_{\infty } $$ performance. Ultimately, an illustrative example is implemented to verify the feasibility of theoretical results.