A Takagi-Sugeno fuzzy-model-based modeling method

Abstract

In this paper, a novel fuzzy modeling method is developed for a class of nonlinear system. The idea comes from the concepts of the Takagi-Sugeno (T-S) fuzzy modeling technique, and this method is especially suitable for the nonaffine nonlinear system. Firstly, an inverted pendulum mounted on motor-driven cart is illustrated to demonstrate the validity of modeling result. Besides this example, a nonaffine nonlinear system is illustrated to explain the proposed modeling scheme is more suitable to model the nonaffine nonlinear system into a T-S fuzzy system than some conventional fuzzy modeling schemes.

Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems

“…Applying the results of Hsiao et al (2010) to the system (26)-(28) at operating points, the system matrices A i , B i , i = 1, 2, 3, 4 can be obtained. These matrices are the same as those in the T-S fuzzy linear model when we represent the system (26)-(28) by utilizing T-S fuzzy hyperbolic model.…”

“…we can use the T-S fuzzy-model-based modeling method of Hsiao et al (2010) to construct all system matrices when we represent the system (26)- (28) by using the T-S fuzzy linear model (Tanaka and Wang, 2001). Based on the modeling method by Hsiao et al (2010), we can obtain…”