A hybrid passivity based controller design for a three phase voltage source reversible boost type rectifier

We present a criteria to design the switching control sequence for a nonlinear system in a normal form when the control input exists in a finite set. The criteria is based on the minimization of a Lyapunov function and the concept of output regulated subspaces presented by Ludvingsen et al. (1998). Moreover, we propose to modify the controller by adding a passivity based algorithm in order to improve the transient behavior and reduce the control effort. The technique is applied to the well known three phase boost type rectifier for which simulations results are provided in order to show the improvement in the transient response. Results are compared with the controller based in sliding mode approach reported by Sabanovic-Behlilovic et al. (1994).