Journal article
Experimental bifurcation analysis of an impact oscillator - Tuning a non-invasive control scheme
Department of Mechanical Engineering, Technical University of Denmark1
Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark2
Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
We investigate a non-invasive, locally stabilizing control scheme necessary for an experimental bifurcation analysis. Our test-rig comprises a harmonically forced impact oscillator with hardening spring nonlinearity controlled by electromagnetic actuators, and serves as a prototype for electromagnetic bearings and other machinery with build-in actuators.
We propose a sequence of experiments that allows one to choose optimal control-gains, filter parameters and settings for a continuation method without a priori study of a model. Depending on the algorithm for estimating the Jacobian required by Newton's method we find two almost disjoint sets of suitable control parameters.
Control-based continuation succeeds reliably in producing the full bifurcation diagram including both stable and unstable equilibrium states for an appropriately tuned controller.
Language: | English |
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Year: | 2013 |
Pages: | 5883-5897 |
ISSN: | 10958568 and 0022460x |
Types: | Journal article |
DOI: | 10.1016/j.jsv.2013.05.033 |
ORCIDs: | Schilder, Frank , Santos, Ilmar , Thomsen, Jon Juel and Starke, Jens |