Stabilization of discrete delayed system with Markovian packet dropouts under stochastic communication protocol via sliding mode approach

This paper addresses the stochastic communication protocol (SCP) based controller design problem for discrete delayed system with stochastic uncertainty and Markovian packet dropouts. This issue is frequently occurred in networked control system where the packet dropouts bring obstacle for controller design. Especially, the controller terms are not allowed to be transformed directly into actuator side under the SCP. Thus, the traditional approaches are not effective to solve this design issue. In this paper, a novel sliding mode control (SMC) mechanism is given to handle the influences caused by packet dropouts, time-varying delay and SCP. A protocol -based controller is designed to guarantee that the closed-loop system is mean-square asymptotically stable with satisfactory H infinity performance. Moreover, an optimization algorithm is further provided to compute the protocol -based gain matrix. Finally, a simulation example is proposed to verify the effectiveness of the presented protocol -based SMC design procedure.