Tracking control of nonlinear systems by fuzzy model-based controller

Abstract

Fuzzy controllers have been successfully applied in many cases to which conventional control algorithms are difficult to be applied. Recently, it was proven that fuzzy systems are capable of approximating any real continuous function to arbitrary accuracy. This result motivates us to use the fuzzy systems as identifiers for nonlinear dynamic systems, and then design the fuzzy controllers based on the fuzzy system. There are two main objectives in this paper. (1) We use the Takagi and Sugeno's fuzzy models (1985) as an identifier for nonlinear dynamic systems, and derive the identification algorithm. (2) The fuzzy model-based controller design method for tracking control is proposed based on this fuzzy system. Simulation results show that the identification algorithm exhibits good performance and the fuzzy model-based controllers could perform successful tracking ability.