Abstract

In this paper, we suggest a method for estimating the parameters of periodic motions and also a frequency-domain criterion of their stability for nonlinear time-invariant homogeneous (identical) multivariable automatic control systems with structurally identical subsystems. This method can be used to simply determine the parameters of periodic motions and their stability in the class of systems mentioned above based on the structural decomposition and the method of harmonic linearization. The results are confirmed by mathematical modeling.

中文翻译：

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多项式矢量矩阵表示形式的齐次非线性多变量系统中周期运动的研究

摘要

在本文中，我们提出了一种估计周期运动参数的方法，以及对于具有相同结构子系统的非线性时不变均质（相同）多变量自动控制系统，其稳定性的频域判据。基于结构分解和谐波线性化的方法，该方法可用于简单地确定周期性运动的参数及其在上述系统类别中的稳定性。结果通过数学建模得到证实。