Variational method for the distributed control of a vibrating beam | Zendy

Sadek I. S. | Zendy

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Variational method for the distributed control of a vibrating beam

Author(s) -

Sadek I. S.

Publication year - 1988

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.4660090107

Subject(s) - deflection (physics) , heuristic , beam (structure) , mathematics , optimal control , mathematical optimization , control theory (sociology) , control (management) , mathematical analysis , computer science , classical mechanics , physics , engineering , structural engineering , artificial intelligence

The problem of damping out the oscillations of a simply supported beam subject to viscous damping is solved analytically by employing a maximum principle. The basic control problem is to minimize the deflection and the velocity of displacements in a given period of time with the minimum possible expenditure of force. The multiobjective problem is scalarized by using a linear combination of the criteria. This problem is also solved by two heuristic approaches: a direct method and an integral equation approach.

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