DocumentCode
706944
Title
Feedback resonance in nonlinear oscillators
Author
Fradkov, A.L.
Author_Institution
Inst. for Problems of Mech. Eng., St. Petersburg, Russia
fYear
1999
fDate
Aug. 31 1999-Sept. 3 1999
Firstpage
3599
Lastpage
3604
Abstract
The possibilities of studying nonlinear physical systems by small feedback action are discussed. Analytical bounds of possible system energy change by feedback are established. It is shown that for 1-DOF nonlinear oscillator the change of energy by feedback can reach the limit achievable for linear oscillator by harmonic (nonfeedback) action. Such a phenomenon is called feedback resonance. Speed-Gradient based method of creating feedback resonance in nonlinear multi-DOF oscillators is described. Example problem of escape from a potential well is studied by computer simulation.
Keywords
feedback; linear systems; nonlinear control systems; oscillators; feedback action; feedback resonance phenomenon; harmonic action; linear oscillator; nonlinear oscillators; nonlinear physical system; speed-gradient based method; system energy change; Chaos; Damping; Harmonic analysis; Indexes; Oscillators; Nonlinear oscillators; Nonlinear resonance; feedback;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1999 European
Conference_Location
Karlsruhe
Print_ISBN
978-3-9524173-5-5
Type
conf
Filename
7099889
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