| In this dissertation, the problem of memory non-fragile control for a class of Takagi-Sugeno (T-S) fuzzy systems is studied. Fuzzy systems have many advantages such as fast response, high precision and strong robustness; non-fragile controller can overcome uncertainties and ensure the stability of the system; furthermore the feedback control with memory can solve the systems' negative factors which caused by time delays. Based on these characteristics, the stability of a memory non-fragile system is analyzed with Lyapunov stability theory and the linear matrix inequality (LMI) approach; robust state feedback controllers are designed on T-S fuzzy models. Then the problems of memory non-fragile H∞control, guaranteed cost control and L2 - L∞control are investigated; an LMI approach is developed. The MATLAB's LMI toolbox is used to find controller's gain matrices, while the Simulink toolbox is used to verify algorithm and results of this study. Finally, a number of inadequacies are discussed and the problems need to be improved are given; the prospect of fuzzy control systems is depicted. |
PDF Full Text Request