Research On SMC Problem For Fuzzy Markovian Jump Systems Under Event-Triggered Mechanisms

This paper takes the interval type-Ⅱ Markovian jump systems as the research object,considers the existence of quantization,fading channel,actuator failure,limited network bandwidth resources,external interference,asynchrony and other factors respectively,combines Lyapunov stability theory,two types of event-triggered mechanism and other common methods to discuss system stability,and studies the sliding mode control problem of the interval type-Ⅱ Markovian jump systems.The main research is as follows:Firstly,the issue of sliding mode control of a class of interval type-II semi-Markovian jump fuzzy systems based on event-triggered,quantization and fading channels is investigated.Firstly,to relieve the pressure on the network transmission,the data is quantized by logarithmic quantizers before it is transmitted over the channel and an event-triggered scheme is introduced based on a periodic sampling mechanism to determine whether the signal is transmitted to the controller.As the transmitted data passes through the channel,it may experience channel fading phenomena.An asynchronous processing scheme is then introduced,taking into account the asynchronous nature between the system modes and the controller modes.In addition,a feasible sliding mode controller is designed to ensure that the state trajectory of the system reaches the specified sliding surface in finite-time;And with the aid of the time partition strategy,sufficient conditions for the system to be bounded in finite-time during the arrival and sliding stages are derived.Finally,based on linear matrix inequalities,the gain parameters of the periodic event-triggered,sliding mode controller and fuzzy observer are designed simultaneously and the feasibility of the proposed sliding mode control strategy is verified by a numerical example.Secondly,the issue of sliding mode control based on dynamic event-triggered is investigated for a class of interval type-II Markovian jump fuzzy systems with partially known mode information.Firstly,for the purpose of saving network resources,a dynamic event-triggered scheme is proposed to decide whether to update the signal or not.A feasible sliding mode controller is then designed to ensure that the state trajectory of the system reaches the specified sliding surface in finite-time.Thereafter,sufficient conditions for the system to be bounded in finite-time during the arrival and sliding phases are derived through a time partition strategy.Finally,the dynamic event-triggered threshold parameters and the gain matrix of the sliding mode controller are designed simultaneously by using linear matrix inequalities,and the feasibility of our proposed scheme is verified by a simulation example.