Stabilizing fuzzy control for a class of nonlinear systems

Abstract

The paper presents new conditions suitable in design of a stabilizing controller for a class of continuous-time nonlinear systems represented by Takagi-Sugeno models, and measurable premise variables. Based on an enhanced Lyapunov inequality, the conditions are outlined in the terms of linear matrix inequalities to possess a stable structure closest to optimal asymptotic properties. Simulation results illustrate the design procedure and demonstrate the basic performances of the proposed control design method.