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IMA Journal of Mathematical Control and Information 1989 6(2):217-232; doi:10.1093/imamci/6.2.217
© 1989 by Institute of Mathematics and its Applications
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Applications of a Maximum Principle for the Structural Control of Laminated Composite Plates

J. M. SLOSS1, I. S. SADEK2, J. C. BRUCH, JR.3 and S. ADALI4

1Department of Mathematics, University of California Santa Barbara, CA 93106.
2Department of Mathematical Sciences, University of North Carolina at Wilmington Wilmington, NC 28403.
3Department of Mechanical and Environmental Engineering, University of California Santa Barbara, CA 93106.
4Department of Mechanical Engineering, University of Natal King George V Ave., Durban, 4001, R. S.A.

The structural-control problem for laminated composite plates is solved by means of a maximum prinicple. The objective of the control is to minimize the dynamic response of the plate with minimum possible expenditure of force. The multiple objectives of the problem are taken into account by forcing a cost functional involving the deflection and velocity distributions over the plate area and the total control force. A maximum prinicple is formulated for the class of problems under consideration. The proposed theory is demonstrated by applying it to several control problems concering the structural control of laminated plates.


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[Abstract] [PDF]


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