Event Triggered Control of Stochastic Systems with Multiplicative Noises

This paper introduces an event triggering scheme for state feedback control of a class of stochastic systems which exists multiplicative noise affecting both state variables and control inputs. According to the state sampling error of the system state, the event trigger control scheme is developed to judge whether the output can be transmitted to the controller. Developing a state feedback controller that can make sure the closed-loop system is mean-square stable under given event triggering conditions is the aim of the control method. According to the linear matrix inequality (LMI), we propose a design method of event trigger control. Finally, the efficiency of the introduced method is verified by a numerical experiment.