Optimal switching instants for a switched-capacitor DC/DC power converter. (English) Zbl 1162.49044

Summary: We consider a switched-capacitor DC/DC power converter with variable switching instants. The determination of optimal switching instants giving low output ripple and strong load regulation is posed as a non-smooth dynamic optimization problem. By introducing a set of auxiliary differential equations and applying a time-scaling transformation, we formulate an equivalent optimization problem with semi-infinite constraints. Existing algorithms can be applied to solve this smooth semi-infinite optimization problem. The existence of an optimal solution is also established. For illustration, the optimal switching instants for a practical switched-capacitor DC/DC power converter are determined using this approach.


49N90 Applications of optimal control and differential games
49J15 Existence theories for optimal control problems involving ordinary differential equations
90C22 Semidefinite programming
49N25 Impulsive optimal control problems


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