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Mode Localization Induced by a Nonlinear Control Loop
Authors:M'Closkey  Robert T  Vakakis  Alex  Gutierrez  Roman
Institution:(1) Mechanical and Aerospace Engineering, University of California, Los Angeles, CA, 90095, U.S.A;(2) Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 138 Mech. Eng., 1206 W. Green Street, Bldg. MC244, Urbana, IL, 61801, U.S.A;(3) Jet Propulsion Laboratory, 4800 Oak Grove Dr., Pasadena, CA, 91109, U.S.A
Abstract:We present the analysis of a nonlinear controlsystem that is used to excite and maintain a specified amplitude ofoscillation in the Jet Propulsion Laboratory vibratory gyroscope.This experimental application shows that nonlinear localizationthrough active means can be implemented in a practical system when itis desirable to confine the response to a favorable mode. Theclosed-loop system response predicted by the model shows very closeagreement with the experimental results for a significant range ofcontroller parameters. We also experimentally demonstrate that theactively localized motion is eliminated through bifurcation, similarto what was observed in previous passive localization studies appliedto extended flexible oscillators.
Keywords:nonlinear localization  nonlinear control  automatic gain control  vibratory gyroscope
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