Robust Fuzzy Control for Uncertain Nonlinear Systems with Regional Pole and Variance Constraints

摘要

For a class of uncertain nonlinear systems, a design method of robust fuzzy control systems with the state estimators is developed in this paper. This design method guarantees each local closed-loop systems poles within a specified disc and steady-state variances to be less than a set of given upper bounds. T-S fuzzy models with uncertainties are used as the model for the uncertain nonlinear systems. A sufficient condition for the existence of such robust fuzzy controllers is derived using the linear matrix inequality approach. Based on this, solving procedures for the feedback gains and the estimator gains are given.