T-S fuzzy controller design for nonlinear large-scale systems with time-varying uncertainties

In this paper, we present Takagi-Sugeno (T-S) fuzzy logic control scheme for a class of large-scale time-varying uncertain systems. The proposed control scheme is comprised of a fuzzy system for the given system with uncertainties and a state feedback fuzzy controller. The parameters of the fuzzy system are updated by learning rules. The state feedback fuzzy controller is used to restrain the external disturbances. Based on the Lyapunov stability theorem, we will prove that the closed-loop control system is uniformly ultimately bounded. The main point of the proposed control scheme is that we can use the P matrix in Riccati-like LMI equation for each rule to synthesize the state feedback control gain K other than that to find a common P of the traditional approach. Finally, a numerical example and a TMD system is given to validate the proposed scheme.