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JOURNALS // Proceedings of National Academy of Sciences of Armenia, Mechanics // Archive

Proceedings of National Academy of Sciences of Armenia, Mechanics, 2018, Volume 71, Issue 4, Pages 5–16 (Mi pasam67)

Optimal control of the electromechanical system according to the combined criterion

V.V.Avetisyan

Institute of Mechanics, National Academy of Sciences of Armenia

Abstract: The problem of optimal control of the electromechanical system with one degree of freedom is under consideration. As an optimal indicator, a functionality is considered, which takes into account both the impulse momentum generated by the electric motor and the time of the control process. The optimal control synthesis was built by the method of maximum principle, which ensures the transfer the system from any initial state to the final state and during this time the minimal value receives the combined functional. The curves have been constructed on the phase plane of the system, which create different domains of initial states. The optimal transfer to the initial coordinate system is carried out both without transfer and with one or two transfer times. The optimal transfer to the initial coordinate system is carried out both without transfer and with one or two transfer times. It is depending on which domain where located the initial state. Optimal control transfer moments and optimal time counting resolutions of the control process have been obtained.

Keywords: optimal control, switching curve, optimal control synthesis, electromechanical system, combined functional.



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