Projeto de Controladores W∞ para Sistemas com Histerese através de Derivadas Fracas do Operador de Prandtl-Ishlinskii

Abstract

We propose an extension of the W∞ controller formulation to address systems with hysteresis, characterized by inputs that are non-differentiable and non-affine. The novelty of our method lies in the application of the weak derivative of the Prandtl-Ishlinskii hysteresis operator, which allows us to reformulate the control problem as a semidefinite programming problem. The proposed method guarantees disturbance attenuation with asymptotic stability for the closed-loop system.