On Order Reduction and Stabilization of TSK Nonlinear Fuzzy Models by using Arrow form Matrix

Abstract

In this article, new approaches combining order reduction and stabilization of the TSK fuzzy nonlinear models are proposed. The use of singular perturbations technique for fuzzy process modeling, and the choice of an arrow form characteristic matrix to describe the obtained model, make the determination of reduced model and the design of the fuzzy stabilizing controllers easy. The case of a third order nonlinear Lur'e Postnikov system is considered to show the efficiency of the proposed approaches.