输入饱和下奇异马尔可夫跳变时滞系统的动态事件触发控制OA

A dynamic event-triggered control problem is investigated for a class of singular Markov jump systems(SMJSs)with time-varying delays and actuator saturation.Considering that in practical engineering,the system mode information is often difficult to be accurately and real-time obtained,a hidden Markov model(HMM)is adopted to describe the asynchronous mapping relationship between the true system modalities and the controller's perceived modalities.Firstly,to effectively handle the nonlinear constrains caused by actuator saturation,the convex hull representation method is adopted to model the saturation nonlinearity,and a dynamic event-triggered mechanism is introduced to reduce the system communication burden and minimize unnecessary data transmission.Then,by constructing appropriate Lyapunov-Krasovskii functions and utilizing the linear matrix inequalities(LMIs)technique,sufficient conditions are established to ensure that the closed-loop system is stochastically admissible and satisfies a prescribed H∞ performance index.On the basis,a new asynchronous controller design method is proposed,achieving the coordinated design of controller gains and dynamic trigger parameters,and constructing a convex optimization algorithm to effectively estimate the maximum attractor domain of the system.Finally,the numerical simulation results show that the rotor speed and other system states in the direct current(DC)motor system tend to stabilize after about 5 second,and all system state trajectories are within the attractor domain.Furthermore,the optimal H∞ performance index γ* achieved by the system is 0.315,with the event-triggering rate is reduced to 36.7%.