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Approximation of the optimal compensator for a large space structureThis paper considers the approximation of the optimal compensator for a Large Space Structure. The compensator is based upon a solution to the Linear Stochastic Quadratic Regulator problem. Colocation of sensors and actuators is assumed. A small gain analytical solution for the optimal compensator is obtained for a single input/single output system, i.e., certain terms in the compensator can be neglected for sufficiently small gain. The compensator is calculated in terms of the kernel to a Volterra integral operator using a Neumann series. The calculation of the compensator is based upon the C sub 0 semigroup for the infinite dimensional system. A finite dimensional approximation of the compensator is, therefore, obtained through analysis of the infinite dimensional compensator which is a compact operator.
Document ID
19830027817
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Mackay, M. K.
(California Univ. Los Angeles, CA, United States)
Date Acquired
August 11, 2013
Publication Date
July 1, 1983
Publication Information
Publication: JPL Proc. of the Workshop on Appl. of Distributed System Theory to the Control of Large Space Struct.
Subject Category
Spacecraft Design, Testing And Performance
Accession Number
83N36088
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-3550-78
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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