A controller for a class of T-S fuzzy models with uncertainty using Nussbaum-type function

Abstract

While the T-S fuzzy model is widely used as a model to design a controller for a system to be controlled, there is a gap, which is referred to as uncertainty, between the T-S fuzzy model and the system. The uncertainty is considered is this paper in an effort to improve the control system performance. Though the basic idea to tackle the uncertainty is to employ a frequently used fuzzy approximator approach, the relevant parameters are tuned by novel adaptive laws with the help of the Nussbaum-type function. Consequently, the closed-loop control system is able to be asymptotically stable.