非綫性自动控制系统若干问題的对数分析方法
ANALYSIS OF SOME PROBLEMS IN THE NONLINEAR AUTOMATIC CONTROL SYSTEMS BY LOGARITHMIC CHARACTERISTICS
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摘要: 本文讨论了下列三个问题的对数分析方法: 在第一个问题中,讨论了非线性自动控制系统单频强迫振荡的对数分析方法,给出了一个可以简化求解强迫振荡参数AB 和φ的算图(图2)以及一个分析单频强迫振荡稳定性的对数稳定判据。在第二个问题中,讨论了如何确定正弦信号对缓变信号在对称非线性系统中通行时所带来的影响,其中包括误差、稳定性等问题。在第三个问题中,讨论了如何确定强迫振荡的振幅B和频率ΩB以及辗平非线性元件的非线性特性,从而提高系统的动态性能。Abstract: In this paper three problems in the nonlinear automatic control systems are analyzed. In the first problem, the monofrequency forced oscillation in the symmetrical non-linear systems is investigated. By using a nomograph (fig. 2) the amplitude AB and thefrequency ΩB. of the forced oscillation at the end of the nonlinear element can be easilyobtained. A stability criterion of the forced oscillation based on the logarithmic charac-teristics is also given. In the second problem, we discuss the effects (error, stability, etc.) of the sinusoidalsignal on the slow changing signal in the symmetrical nonlinear control systems. In the third problem, the amplitude B and the frequency ΩB of the forced oscillationfor smoothing the nonlinear characteristics of the nonlinear element are determined inorder to obtain a system with good dynamic characteristics.
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