Contents I. Introduction
Fuzzy-model-based (FMB) control strategies have been successfully applied to deal with the stabilization, regulation, and tracking control problems for nonlinear systems. In those control strategies, the Takagi-Sugeno (T-S) fuzzy model [1] plays an important role in the FMB control design, thanks to its favorable model structure in support of system analysis and control design. Based on Lyapunov stability theory, stability conditions [1] in terms of linear matrix inequalities (LMIs) have been developed to determine the system stability and synthesize the controller. There are fruitful works based on T-S FMB control systems in terms of both stability analysis and applications [1]–[5]. Also, it is reported that when the affine terms are included into T-S models, the nonlinear approximation ability of T-S fuzzy systems can be further improved [6], [7].
