NDLI: A multiloop generalization of the circle criterion for stability margin analysis

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A multiloop generalization of the circle criterion for stability margin analysis

Content Provider	NASA Technical Reports Server (NTRS)
Author	Safonov, M. G. Athans, M.
Copyright Year	1979
Description	In order to provide a theoretical tool suited for characterizing the stability 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 specify the stability margins 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 frequency dependent modeling errors, even when the modeling errors occur simultaneously in all loops. The stability conditions yield an easily interpreted scalar measure of the amount by which a multiloop system exceeds, or falls short of, its stability margin specifications.
File Size	1534946
Page Count	35
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19790023859
Archival Resource Key	ark:/13960/t16m82507
Language	English
Publisher Date	1979-09-01
Access Restriction	Open
Subject Keyword	Cybernetics Conics Operators Mathematics Theorem Proving Feedback Amplifiers Cascade Control Control Stability Control Theory Phase Error Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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