Control-based continuation: Bifurcation and stability analysis for physical experiments
Control-based continuation: Bifurcation and stability analysis for physical experiments
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DOI：
10.1016/j.ymssp.2015.12.039
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发表时间：
2017-02-01
影响因子：
8.4
通讯作者：
Barton, David A. W.
中科院分区：
文献类型：
--
作者：
Barton, David A. W.
基于控制的延拓是一种跟踪非线性实验的解和分支的技术。其思想是将数值延拓方法应用于反馈控制的物理实验，使控制成为非侵入性的。由于在实验中，（通常）不可能直接设置系统的状态，因此控制目标成为状态的代理。基于控制的延拓能够系统地研究物理系统的分叉结构，就像它是数值模型一样。然而，稳定性信息（因此分叉检测和分类）是不容易获得的，由于稳定反馈控制的存在。本文使用了一个周期性的自回归模型与外源输入（ARX）近似的随时间变化的线性化的实验围绕一个特定的周期轨道，从而提供了丢失的稳定性信息。这种方法是使用物理非线性调谐质量阻尼器。(C)2016年6月，作者。由Elsevier Ltd.发布。这是CC BY许可下的开放获取文章。
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.