Optimal control of a capacitor-type energy storage system

Doron Lifshitz, George Weiss

Research output: Contribution to journalArticlepeer-review


We study the optimal control for the maximization of profit in a grid-connected energy storage system. The changing price of electricity is assumed to be known in advance over the optimization horizon. The system has a storage device (such as a battery) which we model as a capacitor-type device, with natural constraints on its voltage and current. We prove the existence of an optimal control and the fact that a bang-off-bang type policy is optimal. The proof uses Filippov's theorem and the Pontryagin minimum principle.

Original languageEnglish
Article number6814310
Pages (from-to)216-220
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - 1 Jan 2015


  • Bang-bang control
  • Filippov's theorem
  • energy storage
  • optimal control with constraints


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