摘要
本文考虑一类双边电容型微谐振器,提出在系统直流偏置电压上施加时滞速度反馈实施控制其复杂动力学行为.通过引入新变量解析表达同异宿轨道,在此基础上研究时滞反馈抑制该系统全局分岔的机理及其控制效果.发现时滞速度反馈对控制微结构吸合不稳定非常有效,却并不适用于控制混沌.本文研究在提高静电驱动微机械振动系统的动完整性上具有潜在的应用价值.
A typical double-side capacitive micro resonator is considered,and delayed velocity feedback is proposed to apply on DC bias voltage of its vibrating system to control its complex dynamical behavior.By inducing new variations,the heteroclinic orbits and homoclinic ones of the unperturbed system are expressed analytically.On this basis,the mechanism and the effect of the delayed feedback on controlling the global bifurcation are studied.It is found that delayed velocity feedback control is effective in suppressing pull-in instability of the microstructure but unsuitable to control chaos,which has some potential values in improving the global integrity of electro-static micro mechanical systems.
作者
刘智群
尚慧琳
Liu Zhiqun;Shang Huilin(School of Mechanical Engineering,Shanghai Institute of Technology,Shanghai 201418,China)
出处
《动力学与控制学报》
2022年第1期28-34,共7页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11472176)。
关键词
微谐振器
混沌
吸合不稳定
时滞速度反馈
全局分岔
micro-resonator
chaos
pull-in instability
delayed velocity feedback
global bifurcation
