Stability Analysis And Control Design Of T-S Fuzzy Sampling System

T-S fuzzy control can effectively solve the modeling problem of nonlinear systems.It is especially suitable for the modeling of complex nonlinear systems in industrial production.In this subject,complex nonlinear systems were modeled based on the Takagi-Sugeno(T-S)fuzzy model.By constructing the Lyapunov-Krasovskii functional,the stability conditions were constructed after modeling.The specific work content is shown as follows:1)The mathematical system models which based on T-S fuzzy control were established.The models of stochastic switched fuzzy systems with uncertainty and packet loss and the model of fuzzy system with uncertainty and state quantization were studied respectively.Uncertainty and packet loss were added to the models for the consideration of network-induced factor.The models were optimized based on the above work.2)With the help of LKFs,stability analysis of the system and controller parameter design were realized.A new type of looped LKFs was designed,and the sampling mode and the membership function information in the fuzzy model were fully utilized.After deriving LKFs,the stability conditions were obtained.In the process of derivation,the improved Free-Matrix-Based(FMB),convex combination and other lemmas as well as some mathematical inequality processing techniques were used.In the end,the stability conditions were expressed in the form of Linear Matrix Inequality(LMI).Through the LMI toolbox,the gain matrix of the controller and the upper bound of the maximum sampling interval of the sampling controller were obtained.In the end,numerical simulation examples were used to verify the effectiveness of the method.At the same time,the upper bound of sampling interval was improved.Figure 19;Table 5;Reference 51...