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A multiloop generalization of the circle criterion for stability margin analysisIn order to provide a theoretical tool well suited for use in characterizing the stability margins (e.g., gain and phase margins) of multiloop feedback systems, multiloop input-output stability results generalizing the circle stability criterion are considered. Generalized conic sectors with 'centers' and 'radii' determined by linear dynamical operators are employed to enable an engineer to specify the stability margins which he desires as a frequency-dependent convex set of modeling errors (including nonlinearities, gain variations, and phase variations) which the system must be able to tolerate in each feedback loop without instability. The resulting stability criterion gives sufficient conditions for closed-loop stability in the presence of such frequency-dependent modeling errors, even when the modeling errors occur simultaneously in all loops.
Document ID
19810048231
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Safonov, M. G.
(Southern California, University Los Angeles, Calif., United States)
Athans, M.
(MIT Cambridge, Mass., United States)
Date Acquired
August 11, 2013
Publication Date
April 1, 1981
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: AC-26
Subject Category
Cybernetics
Accession Number
81A32635
Funding Number(s)
CONTRACT_GRANT: NGL-22-009-124
CONTRACT_GRANT: F44620-76-C-0061
CONTRACT_GRANT: NSG-1312
CONTRACT_GRANT: N00014-75-C-0061
CONTRACT_GRANT: NSF ENG-78-05628
Distribution Limits
Public
Copyright
Other

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