Control And Stability Analysis Of Fuzzy Systems Based On TS Model  Posted on:20041002  Degree:Doctor  Type:Dissertation  Country:China  Candidate:C Z Gong  Full Text:PDF  GTID:1118360122496932  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  Fuzzy control is an important approach in intelligent control. The research of fuzzy control theory includes a series of main problems, such as the stability and robustness analysis, the system design approach and the improvement of the system performance etc. Although many academic achievements based on TS fuzzy model have been achieved, there are still some questions waiting to make further research such as guaranteed cost control, controller design when the states are not available and static output feedback control. The main contribution in this paper is to solve the above problems partially by using matrix inequality theory and linear matrix inequality (LMI) approach. The main works of this dissertation are following.The guaranteed cost control via memoryless feedback controllers is studied for fuzzy systems including guaranteed cost control of uncertain fuzzy systems with timedelay, uncertaint discrete fuzzy systems and uncertain discrete fuzzy systems with timedelay. The feedback control laws are obtained through solving LMIs. This method not only guarantees stability, but also minimizes an upper bound.The robust fuzzy control for nonlinear uncertain systems with timedelay and nonlinear uncertain discrete systems in the presence of parametric uncertainties and the state variables unavailable for measurement is addressed. The TagakiSugeno (TS) discrete fuzzy model system with parametric uncertainties is adopted for modeling the nonlinear systems and establishing fuzzy observer. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of LMIs. The effectiveness of the proposed fuzzy controller and fuzzy observer is finally demonstrated through numerical simulations on an inverted pendulum system.The output feedback stabilization is addressed for a class of uncertain fuzzy dynamic systems with timedelay. The TS fuzzy model is used to represent an uncertain nonlinear system with timedelay. Sufficient conditions for output feedback stabilizability are established in the form of matrix inequality. An iterative linear matrix inequality (ILMI) algorithm is also given.
 Keywords/Search Tags:  TS fuzzy systems, stability, cost function, LMI approach, fuzzy observer, output feedback.  PDF Full Text Request  Related items 
 
