Fractal Erosion of the Safe Basin in a Helmholtz Oscillator and Its Control by Linear Delayed Velocity Feedback
SHANG Hui-Lin1**, WEN Yong-Peng2
1School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200235 2College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai
Fractal Erosion of the Safe Basin in a Helmholtz Oscillator and Its Control by Linear Delayed Velocity Feedback
SHANG Hui-Lin1**, WEN Yong-Peng2
1School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200235 2College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai
摘要Fractal erosion of the safe basin in a Helmholtz oscillator system is studied. A linear delayed velocity feedback is employed to suppress the fractal erosion. The necessary basin erosion condition of the delayed feedback controlled system is obtained. The evolution of the boundary and area of the safe basin over time delay is also presented. It follows that the delayed velocity feedback can be used as an effective strategy to control fractal erosion of a safe basin.
Abstract：Fractal erosion of the safe basin in a Helmholtz oscillator system is studied. A linear delayed velocity feedback is employed to suppress the fractal erosion. The necessary basin erosion condition of the delayed feedback controlled system is obtained. The evolution of the boundary and area of the safe basin over time delay is also presented. It follows that the delayed velocity feedback can be used as an effective strategy to control fractal erosion of a safe basin.
SHANG Hui-Lin**;WEN Yong-Peng
. Fractal Erosion of the Safe Basin in a Helmholtz Oscillator and Its Control by Linear Delayed Velocity Feedback[J]. 中国物理快报, 2011, 28(11): 110503-110503.
SHANG Hui-Lin**, WEN Yong-Peng
. Fractal Erosion of the Safe Basin in a Helmholtz Oscillator and Its Control by Linear Delayed Velocity Feedback. Chin. Phys. Lett., 2011, 28(11): 110503-110503.
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