Experimental bifurcation analysis of an impact oscillator - Tuning a non-invasive control scheme
Research output: Research - peer-review › Journal article – Annual report year: 2013
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.
Original language | English |
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Journal | Journal of Sound and Vibration |
Volume | 332 |
Issue number | 22 |
Pages (from-to) | 5883–5897 |
ISSN | 0022-460X |
DOIs | |
State | Published - 2013 |
Citations | Web of Science® Times Cited: 16 |
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