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Applications of multiple-constraint matrix updates to the optimal control of large structuresLow-authority control or vibration suppression in large, flexible space structures can be formulated as a linear feedback control problem requiring computation of displacement and velocity feedback gain matrices. To ensure stability in the uncontrolled modes, these gain matrices must be symmetric and positive definite. In this paper, efficient computation of symmetric, positive-definite feedback gain matrices is accomplished through the use of multiple-constraint matrix update techniques originally developed for structural identification applications. Two systems were used to illustrate the application: a simple spring-mass system and a planar truss. From these demonstrations, use of this multiple-constraint technique is seen to provide a straightforward approach for computing the low-authority gains.
Document ID
19930045361
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Smith, S. W.
(NASA Langley Research Center Hampton, VA, United States)
Walcott, B. L.
(Kentucky Univ. Lexington, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1992
Publication Information
Publication: In: Dynamics and control of large structures; Proceedings of the 8th VPI&SU Symposium, Blacksburg, VA, May 6-8, 1991 (A93-29328 10-63)
Publisher: Virginia Polytechnic Institute and State University
Subject Category
Cybernetics
Accession Number
93A29358
Funding Number(s)
CONTRACT_GRANT: NAG1-960
Distribution Limits
Public
Copyright
Other

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