Guranteed Cost Control Of Nonliner Based On T-S Fuzzy Model

With the development of science and technology, the plants to be controlled are becoming more and more large and complex. As a result, it is difficult to get the accurate mathematic model. Even we can build mathematic model for complex systems, it may be too complicated to design a controller with conventional means which are based on accurate mathematic models. It is the artificial intelligent control based on knowledge that takes bright future for the above problems. Furthermore, the accurate mathematic models are not needed by artificial control. Fuzzy control is important artificial intelligent control. In this paper, we concentrate on the designing of guaranteed cost control of nonlinear based on T-S fuzzy model.Stability is one of the most important indexes for systems. It is difficult to analyze the stability of fuzzy systems which are nonlinear in essence. Now, Based on T-S fuzzy model, Lyapunov stability theory and linear uncertainty theory are often used to analyze the system's stability. In the following, There are some work on the base.First, using a guaranteed cost control(GCC) approach, the problem of Takagi-Sugeno(T-S) fuzzy control design via linear Matrix Inequalities(LMIS) is presented in this paper. Both the continuous and the discrete systems case are discussed, and the sufficient conditions for the existing GCC control law are stated in terms of the feasibility of a set of LMIS. Then, the results on designing GCC is applied for the time-delay systems, and designing GCC for uncertain time-delay systems is discussed. The feedback control law is obtained through solving LMIS. This method guaranteed stability Second, the method is used on time-delay systems, the guaranteed cost control of uncertain time-delay systems is discussed . The continuous and discrete time-delay systems are studied. The example for a fuzzy controller of the inverted pendulum demonstrates the effectiveness of this approach.