Static LPV feedforward controller synthesis for Linear Parameter Varying systems

Abstract

This paper proposes a new static feedforward controller synthesis for Linear Parameter Varying (LPV) systems. In this approach, the matrices of system are dependent on measurable parameters which have bounded variations. The proposed controller design is based on H infinity controller design and is formulated in terms of Linear Matrix Inequalities (LMIs). Parameter-dependent Lyapunov function is used for the synthesis where the robust stability is guaranteed for all varying parameters during the control. This controller is used by combining on the feedback controller in two degrees of freedom (2-DOF) control system structure. It is assumed that the feedback controller in the generalized system was previously designed in the structure. Afterwards the feedforward controller is designed by imposing on the feedback controller. The controller design can be used for decreasing the reference tracking error or the disturbance attenuation. A numerical example is given to provide the applicability of the controller for decreasing the reference tracking error.