Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model

Abstract

We present a design methodology for stabilization of a class of nonlinear systems. First, we approximate a nonlinear plant with a Takagi-Sugeno fuzzy model. Then a model-based fuzzy controller design utilizing the concept of so-called "parallel distributed compensation" is employed. The design procedure is conceptually simple and straightforward. The method is illustrated by application to the problem of balancing an inverted pendulum on a cart.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>