Premium
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.