For the problem of nonlinear plant's interference suppression, nonlinear system modeling and controlling is discussed in the thesis. First, nonlinear systems transform T-S linear model by T-S fuzzy modeling. Further, considering the interactions among the fuzzy subsystems, by converting the stability and performance index of closed loop system into studying on convex programming of LMIs, the H∞ controller with robust ploe placement constraint based on the state feedback and the H∞ output feedback controller based on a hybrid genetic algorithm be obtained by solving a set of suitable linear matrix inequalities .Simulation results demonstrate that systems using controllers designed by this method give prominence to good stability ,strong robustness and better closed-loop dynamic performance ,and improve the disadvantage of H∞ controllers for T-S fuzzy system which loses sight of the closed-loop dynamic performance of system.
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