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
Link To Document :
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