本文選題：雙質(zhì)體振動機　切入點：Hopf分岔　出處：《太原理工大學(xué)學(xué)報》2017年05期 　論文類型：期刊論文

【摘要】：根據(jù)第二類拉格朗日方程建立了雙質(zhì)體振動機系統(tǒng)的動力學(xué)方程,設(shè)計了washoutfilter控制器對其進行控制,利用Hopf分岔顯式臨界準(zhǔn)則實現(xiàn)了系統(tǒng)Hopf分岔的反控制,給出了系統(tǒng)的線性控制增益分岔圖。基于中心流形-正則形理論確定了使分岔極限環(huán)穩(wěn)定的非線性控制增益的范圍。通過Hopf分岔的極限環(huán)振幅表達式獲得了非線性控制增益的振幅控制效果圖,描述了非線性控制增益對振幅的控制效果。數(shù)值結(jié)果表明:非線性控制增益對系統(tǒng)振幅的控制是正相關(guān)的,說明使用washout-filter控制器對雙質(zhì)體振動機系統(tǒng)振幅的控制是有效可行的。
[Abstract]:According to the Lagrange equation of the second kind, the dynamic equation of the two-body vibration machine system is established, and the washoutfilter controller is designed to control it. The inverse control of the Hopf bifurcation of the system is realized by using the Hopf bifurcation explicit critical criterion. In this paper, the linear control gain bifurcation diagram of the system is given. Based on the central manifold canonical form theory, the range of nonlinear control gain for stabilizing the bifurcation limit cycle is determined. The nonlinearity is obtained by the limit cycle amplitude expression of the Hopf bifurcation. The amplitude-controlled effect of the control gain, The control effect of nonlinear control gain on amplitude is described. The numerical results show that the nonlinear control gain is positively correlated to the amplitude of the system, which shows that the washout-filter controller is effective and feasible to control the amplitude of the dual mass vibration machine system.
【作者單位】： 太原理工大學(xué)力學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金資助項目(11372101)
【分類號】：O322

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1 劉素華;唐駕時;;四維Qi系統(tǒng)零平衡點的Hopf分岔反控制[J];物理學(xué)報;2008年10期

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本文編號：1566551