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Optimal open/closed-loop control for systems with distributed parameter

✍ Scribed by Ibrahim S. Sadek; Osman Yürekli

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
607 KB
Volume
332
Category
Article
ISSN
0016-0032

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✦ Synopsis

An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open-and closed-loop mechanism is incorporated into theJormulation of the problem and a #eneral method of solution is presented. Two performance indices are introduced and minimized with respect to the openloop control Junctions and the closed-loop control parameters. The optimality condition Jor the open-loop control is derived in form of the integral equations by usin 9 the methods of eigen-.function expansion and variational calculus. The closed-loop control parameters are numericall)

, determined [?om the minimization of the energy of the system subject to a constraint on the maximum amount of closed-loop control force that can be applied. The proposed approach is applied to a shear deformable beam excited by an initial disturbance. An explicit solution of the problem is obtained and numerical results are given to investiyate the effectiveness of the proposed control mechanism.

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