Research On Tracking Control Of T-S Fuzzy System

Takagi-Sugeno(T-S)fuzzy model is nonlinear system analysis and synthesis methods,its can approximate any smooth nonlinear function with arbitrary precision,and take this as the foundation,by using parallel distributed compensation method(PDC)design for nonlinear global approximation controller,to solve the problem of the complex nonlinear systems in the presence of.Compared to the stabilization problem and tracking control in practical engineering applications more widely,under the given performance requirements,the controlled object of the state or output tracking of the given signal is the main objective of the tracking control.In this paper,we study the tracking control problem of T-S fuzzy model based on T-S fuzzy model with good approximation performance and perfect analysis method.The main research contents are as follows:Study the asymptotically stable model reference tracking control problem for a class of T-S fuzzy system with uncertainties and external disturbances.Using Lyapunov stability theorem and augmented matrix technology,derives a state feedback tracking performance of the controller existence condition,based on using linear matrix inequality technique,the gain of the controller is obtained.Through numerical examples are given to validate the proposed theoretical feasibility.Study the tracking guaranteed cost control of T-S fuzzy model.For a class of T-S fuzzy system and the reference trajectory tracking,and puts forward the quadratic performance index,design state feedback controller the closed-loop system meets the guaranteed performance index,at the same time to achieve the tracking of the reference trajectory,effectiveness through numerical examples are given to validate the proposed theory.Study the asymptotic tracking control problem of networked control systems based on T-S fuzzy model.The network induced delay and packet loss also existed in the system,the sensor to the controller and the controller to perform packet loss are two independent Bernoulli distributed random variables is established,by using the Lyapunov stability theorem and the theory of stochastic systems establish asymptotic tracking controller for the conditions for the existence of.Then the disturbance rejection established for optimization problems with inequality constraint matrix.And through the numerical simulation to provide verification.