期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 84, 期 -, 页码 54-64出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2015.12.039
关键词
Numerical continuation; Bifurcation theory; System identification; Feedback control
资金
- EPSRC [EP/K032739/1]
- EPSRC [EP/K032739/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/P019323/1, EP/K032739/1] Funding Source: researchfish
Control-based continuation is technique for tracking the solutions and bifurcations of nonlinear experiments. The idea is to apply the method of numerical continuation to a feedback-controlled physical experiment such that the control becomes non-invasive. Since in an experiment it is not (generally) possible to set the state of the system directly, the control target becomes a proxy for the state. Control-based continuation enables the systematic investigation of the bifurcation structure of a physical system, much like if it was numerical model. However, stability information (and hence bifurcation detection and classification) is not readily available due to the presence of stabilising feedback control. This paper uses a periodic auto-regressive model with exogenous inputs (ARX) to approximate the time-varying linearisation of the experiment around a particular periodic orbit, thus providing the missing stability information. This method is demonstrated using a physical nonlinear tuned mass damper. (C) 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license.
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