We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.
|Translated title of the contribution||Control-based tracking of nonlinear oscillations|
|Title of host publication||EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures|
|Publication status||Published - Mar 2007|