Event-triggered And Quantized Problem For T-S Fuzzy Systems

T-S fuzzy systems,which can be analyzed by many properties of conventional linear systems,can approximate any continuous functions.Moreover,it can be applied to research many nonlinear systems and is one of the important modeling tools of nonlinear systems.In order to reduce the waste of bandwidth resources,the event-triggered mechanism is widely used in the networked control system.In the transmission process,it is assumed that the precision of all data transmission is infinite,while it is impossible in real life.Furthermore,due to the transmission capacity of the network is limited,some data should be quantized before they are sent to the next network node.This can reduce the size of transmission packet and improve transmission rate.Based on above idea,the design of filter and output feedback controller with quantization and event-triggered mechanism are great important.In order to save the limited bandwidth resources,reduce size of transmission packet and improve the transmission rate.This paper employed the event-triggered mechanism and quantization,which are applied to the design of filter and output feedback controller.Based on event-triggered and quantization,filter and output feedback controller design model for T-S fuzzy system are constructed.By using the method of Lyapunov-Krasovskii function and the free weighting matrix proved the stability of systems.The explicit expressions are given for the designed filter parameters and output feedback controller parameters in terms of linear matrix inequalities.Finally,the simulation example is proposed to verify the validity of design.