Stepped and swept control-based continuation using adaptive filtering

被引:17
|
作者
Abeloos, Gaetan [1 ]
Renson, Ludovic [2 ]
Collette, Christophe [1 ,3 ]
Kerschen, Gaetan [1 ]
机构
[1] Univ Liege, Dept Aerosp & Mech Engn, Allee Decouverte 9, B-4000 Liege, Belgium
[2] Imperial Coll London, Dept Mech Engn, London, England
[3] Univ Libre Bruxelles, Bio Electro & Mech Syst Dept, Brussels, Belgium
关键词
Control-based continuation; Adaptive filtering; Feedback stabilization; Invasiveness cancellation; BIFURCATION-ANALYSIS; NONLINEAR-SYSTEMS; BACKBONE CURVES; IDENTIFICATION; MODES;
D O I
10.1007/s11071-021-06506-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper introduces a new online method for performing control-based continuation (CBC), speeding up the model-less identification of stable and unstable periodic orbits of nonlinear mechanical systems. The main building block of the algorithm is adaptive filtering which can ensure the non-invasiveness of the controller without the need for offline corrective iterations. Two different strategies, termed stepped and swept CBC, are then developed for performing the continuation steps. A beam featuring different artificial stiffness and damping nonlinearities is considered for the experimental demonstration of the proposed developments. The performance of the CBC strategies are compared in terms of running time and identification accuracy.
引用
收藏
页码:3793 / 3808
页数:16
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