Active damping of vibration in large space structures using a Karhunen-Loeve reduced order model
By:  Terence M. Grogan
Contributors: Burl, Jeff B.
Publisher: Naval Postgraduate School; Available from the National Technical Information Service
Published: 1989
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 61
Description: Large space structures are difficult to control because of the high order of their mathematical models. The high order mathematical model makes the use of a reduced order model to control the structure desirable. The Karhunen-Loeve expansion along with Galerkin's method is used to generate a reduced order model. A control algorithm is achieved by applying linear quadratic regulator theory to the reduced order model. The Karhunen-Loeve basis functions or mode shapes must first be found to identify the reduced order model. Previous results have shown that in the limit as the structural damping approaches zero the Karhunen-Loeve mode shapes and natural mode shapes converge. Numerical techniques are applied to evaluate the structural damping required for convergence. Once the Karhunen-Loeve mode shapes are determined, the reduced order control model is applied to the full order system. The performance of various Karhunen-Loeve models is compared by measuring the modal energies in the controlled and uncontrolled modes. Keywords: Large space structure; Vibration damping. Theses. (JHD)
Notes: Thesis advisor(s): Burl, Jeff B.

"March 1989."

Thesis (M.S. in Electrical Engineering) Naval Postgraduate School, March 1989.

Includes bibliographical references.

"Approved for public release; distribution is unlimited--Cover."

Also available online.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

US Navy (USN) author.

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