Takagi-Sugeno model-based optimal guaranteed cost fuzzy control for inverted pendulums
基于T-S模型的倒立摆最优保性能模糊控制

For a class of Takagi-Sugeno(T-S) fuzzy systems with norm-bounded parameter uncertainties,the problem of designing an optimal guaranteed cost fuzzy controller is considered via the parallel-distributed compensation(PDC) approach.A condition for the existence of guaranteed cost fuzzy control laws was derived in terms of linear matrix inequalities (LMIs),the design problem of the optimal guaranteed cost fuzzy controller was formulated as a convex optimization problem,which could be solved with the existing convex optimization techniques.Furthermore,the proposed approach was used to design the optimal guaranteed cost fuzzy controller for an inverted pendulum.The simulation results demonstrated the effectiveness of the proposed method.