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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.
##### MSC:
 49N90 Applications of optimal control and differential games 49J15 Optimal control problems with ODE (existence) 90C22 Semidefinite programming 49N25 Impulsive optimal control problems
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