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Estimation of regions of attraction and ultimate boundedness for multiloop LQ regulatorsClosed-loop stability is investigated for multivariable linear time-invariant systems controlled by optimal full state feedback linear quadratic (LQ) regulators, with nonlinear gains present in the feedback channels. Estimates are obtained for the region of attraction when the nonlinearities escape the (0.5, infinity) sector in regions away from the origin and for the region of ultimate boundedness when the nonlinearities escape the sector near the origin. The expressions for these regions also provide methods for selecting the performance function parameters in order to obtain LQ designs with better tolerance for nonlinearities. The analytical results are illustrated by applying them to the problem of controlling the rigid-body pitch angle and elastic motion of a large, flexible space antenna.
Document ID
19850065589
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Joshi, S. M.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1984
Subject Category
Cybernetics
Meeting Information
Meeting: 1984 American Control Conference
Location: San Diego, CA
Start Date: June 6, 1984
End Date: June 8, 1984
Accession Number
85A47740
Distribution Limits
Public
Copyright
Other

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