Two-Degree-of-Freedom Controller Design for Takagi-Sugeno Fuzzy Systems

Abstract:- Controller design strategy for Takagi-Sugeno (T-S) fuzzy systems is considered in the two-degree-of-freedom (TDOF) framework. Firstly, coprime factorization described in the state space formulas for T-S fuzzy systems is introduced based on a common Lyapunov function. Secondly, based on this coprime factorization, TDOF framework for LTI systems is extended to be applied to T-S fuzzy systems. Consequently, good tracking performance and good disturbance rejection (and robustness) are compatibly achieved by a feedforward controller and a feedback controller, respectively. Furthermore, each controller design problem can be formulated with dynamic parallel distributed compensation in terms of linear matrix inequality related to L2 gain performance