Nonlinear H∞-controller design for a DC-to-DC power converter

In this paper, we present a new state feedback controller for the Cuk converter. It will be shown that a special type of de-to-de switchmode power supply can be handled by the theory of affine-input systems, The controller design is based on the H-infinity-theory of nonlinear systems, Using an appropriate exogenous system, the stationary central error can be made arbitrarily small. Furthermore, this design method leads to a simple controller and the stability of the closed loop can be guaranteed in the sense of Lyapunov. The implementation for a laboratory model shows a good tracking and disturbance behavior, which proves the feasibility of the proposed procedure.