Mode localization induced by a nonlinear control loop

Robert T. M'closkey, Alex Vakakis, Roman Gutierrez

Research output: Contribution to journalArticlepeer-review


We present the analysis of a nonlinear control system that is used to excite and maintain a specified amplitude of oscillation in the Jet Propulsion Laboratory vibratory gyroscope. This experimental application shows that nonlinear localization through active means can be implemented in a practical system when it is desirable to confine the response to a favorable mode. The closed-loop system response predicted by the model shows very close agreement with the experimental results for a significant range of controller parameters. We also experimentally demonstrate that the actively localized motion is eliminated through bifurcation, similar to what was observed in previous passive localization studies applied to extended flexible oscillators.

Original languageEnglish (US)
Pages (from-to)221-236
Number of pages16
JournalNonlinear Dynamics
Issue number1-3
StatePublished - Jul 2001


  • Automatic gain control
  • Nonlinear control
  • Nonlinear localization
  • Vibratory gyroscope

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Control and Systems Engineering


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