Passivity-based controllers for the stabilization of Dc-to-Dc Power converters

Passivity{based feedback controllers are derived for the indirect stabilization of the average output voltage in Pulse{Width{Modulation (PWM) controlled dc{to{dc power converters of the \boost", \buck{boost" and \buck" types. The controller design is carried out on the basis of well known average PWM models of such circuits. These models are shown to be Euler{Lagrange systems corresponding to a suitable set of average Euler{Lagrange parameters. The proposed controllers are based on an \energy shaping plus damping injection" scheme, achievable through nonlinear dynamical feedback. The derived duty ratio synthesis policies are tested, via computer simulations, on a stochastically perturbed switched converter model.