Robust fuzzy H-infinity control for uncertain nonlinear systems via state feedback: an LMI approach

This paper presents a method for designing robust fuzzy H-infinity controll ers which stabilize nonlinear systems and guarantee an induced L-2 norm bou nd constraint on disturbance attenuation for all admissible uncertainties. Takagi and Sugeno fuzzy models with uncertainties are used as the model for the uncertain nonlinear systems. Fuzzy control systems utilize the concept of the so-called parallel distributed compensation (PDC). Using a single q uadratic Lyapunov function, the stability with decay rate and disturbance a ttenuation for Takagi and Sugeno fuzzy model with parameter uncertainties a re discussed. A sufficient condition for the presence of the robust fuzzy H -infinity controllers is then presented in terms of linear matrix inequalit ies (LMIs). Finally, design examples of robust fuzzy H-infinity controllers for uncertain nonlinear systems are presented. (C) 2001 Elsevier Science B .V. All rights reserved.