Optimal control by energetic criterion of driving systems

Authors:
Niculau Boteanu;Marius-Constantin Popescu;Florin Ravigan
Affiliations:
Faculty of Engineering in Electromechanical, Environment and Industrial Informatics, University of Craiova, Romania;Faculty of Engineering in Electromechanical, Environment and Industrial Informatics, University of Craiova, Romania;Faculty of Engineering in Electromechanical, Environment and Industrial Informatics, University of Craiova, Romania
Venue:
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2008

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Abstract

In the paper we consider an electric drive having static load torque with a constant component, a speed proportional component and a proportional with the square of speed, in the hypothesis of constant inertia moment and of proportionality between the electromagnetic torque and the load current. Using variational calculus, optimally condition and expression of optimal control and extremal trajectory are determined, which ensures the minimum of energy losses caused by the load current through a Joule effect in the acceleration processes. Using numerical computer we can obtain graphical representation of these variables as time functions.