Optimal Fuzzy Control for a Class of Nonlinear Systems

Abstract EN

The paper presents conditions suitable in design giving quadratic performances to stabilizing controllers for given class of continuous-time nonlinear systems, represented by Takagi-Sugeno models.

Based on extended Lyapunov function and slack matrices, the design conditions are outlined in the terms of linear matrix inequalities to possess a stable structure closest to LQ performance, if premise variables are measurable.

Simulation results illustrate the design procedure and demonstrate the performances of the proposed control design method.