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稳定鞍座。

Stabilizing saddles.

作者信息

Tamaševičiūtė Elena, Mykolaitis Gytis, Bumelienė Skaidra, Tamaševičius Arūnas

机构信息

Department of Electronics, Center for Physical Sciences and Technology, LT-01108 Vilnius, Lithuania.

Department of Physics, Vilnius Gediminas Technical University, LT-10223 Vilnius, Lithuania.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):060901. doi: 10.1103/PhysRevE.88.060901. Epub 2013 Dec 6.

DOI:10.1103/PhysRevE.88.060901
PMID:24483376
Abstract

A synergetic control technique for stabilizing a priori unknown saddle steady states of dynamical systems is described. The method involves an unstable filter technique combined with a derivative feedback. The cut-off frequency of the filter is not limited by the damping of the system, and therefore can be set relatively high. This essentially increases the rate of convergence to the steady state. The synergetic technique is robust to the influence of unknown external forces, which change the coordinates of the steady state in the phase space.

摘要

描述了一种用于稳定动力系统先验未知鞍点稳态的协同控制技术。该方法涉及一种与导数反馈相结合的不稳定滤波器技术。滤波器的截止频率不受系统阻尼的限制,因此可以设置得相对较高。这实质上提高了收敛到稳态的速率。该协同技术对于改变相空间中稳态坐标的未知外力影响具有鲁棒性。

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