On the Capability of T-S Model in Describing Nonlinear Systems

Takagi-Sugeno(T-S) model is one of the most powerful methods in describing nonlinear systems. Because T-S model can be easily converted into an LPV system, Lyapunov stability analysis and controller design reduce to solving LMI problem. However, since the constructed T-S Model is generally approximation, how to construct an T-S model with less approximation error is important. In this paper, we propose a modelling method for T-S model which yields no error for some class of nonlinear systems, and discuss some expansion as well as estimation of error bound for general nonlinear systems.