Hybrid modelling and optimal control of switch-mode dc-dc converters

This paper presents a new solution approach to the optimal control problem of fixed frequency switch-mode dc-dc converters using hybrid systems methodologies. In particular, the notion of the N-step model is introduced to capture the hybrid nature of these systems, and an optimal control problem is formulated, which allows one to easily incorporate in the controller design safety constraints such as current limiting. The optimal control problem is solved offline resulting in the explicit state-feedback controller that can be stored in a look-up table and used for the practical implementation of the control scheme. Simulation results are provided that demonstrate the prospect of this approach.