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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A_B 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Ω_B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。
In this paper, we discuss the logarithm analysis method of the following three problems: In the first problem, we discuss the logarithm analysis method of single-frequency forced oscillation in a nonlinear automatic control system and give a method that can simplify the solution of forced oscillation parameters A_B and φ (Figure 2) as well as a logarithmic stability criterion for the analysis of single-frequency forced oscillation stability. In the second question, we discuss how to determine the effects of sinusoidal signals on the propagation of slowly varying signals in a symmetric nonlinear system, including errors and stability issues. In the third question, we discuss how to determine the amplitude B and frequency Ω_B of forced oscillation and the non-linear characteristics of the rolling non-linear element so as to improve the dynamic performance of the system.