Fuzzy Control with Quadratic Performance for a Class of Nonlinear Systems

Dušan Krokavec and Anna Filasová


Takagi-Sugeno models, Fuzzy control, Linear matrix inequalities, Convex optimization


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

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