Adaptive Controller based on Uncertainty Observer for a Class of Affine T-S Fuzzy Models

Abstract

A class of affine T-S fuzzy models with uncertainty is considered in this paper. Compared with the T-S fuzzy model which is widely used in fuzzy control systems, affine T-S fuzzy model is regarded as a more effective model to describe the dynamics of the system concerned. However, the difficulty is how to handle the affine term in the model. In this paper, following a partition of state space that enables us to employ the S-procedure in an effort to deal with the affine term, a switching-type controller is proposed. The controller contains an uncertainty observer that is used to tackle the existence of the uncertainty and an adaptive law that is used to deal with others that are not covered by the uncertainty observer. In additions, examples are provided in order to demonstrate the effectiveness of the approach proposed in the paper.