Optimal Control of the Boost dc-dc Converter

This paper extends the recently introduced approach for modelling and solving the optimal control problem of fixed frequency switch-mode dc-dc converters using hybrid system methodologies to the boost circuit topology, including parasitic elements. The concept of the ν-resolution model is employed to capture the hybrid nature of these circuits. As the resulting equations are nonlinear, two models are formulated, one featuring additional piecewise affine approximations of the nonlinearities and another nonlinear model that retains the nonlinearities in the related system description. An optimal control problem is formulated and solved online for both cases. Simulation results are provided to compare the outcomes of these approaches.