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本文的目的在于指出高精度陀螺稳定平台可能出现非线性失稳及抖振等非线性现象并说明其发生的规律。在评论了已有资料讨论此类非线性现象时的缺陷之后,针对陀螺稳定平台某些具体的因素抽象出非线性系统模型。使用了谐波线性化的描述函数方法来研究这些非线性系统,特别着重考察了出现非线性失稳和抖振的可能性。给出了典型参数下的计算结果,并提出了既能保证平台精度又能避免非线性失稳的可能技术方案。
The purpose of this paper is to point out the non-linear phenomena such as nonlinear instability and chattering that may occur on a high-precision gyro stabilized platform and to explain the law of its occurrence. After commenting on the shortcomings of existing data to discuss such non-linear phenomena, the nonlinear system model is abstracted from some specific factors of the gyro stabilized platform. The harmonic linearized descriptive function method is used to study these nonlinear systems, with special emphasis on the possibility of nonlinear instability and chattering. The calculation results under typical parameters are given, and some possible technical solutions are proposed to ensure the accuracy of the platform and avoid the nonlinear instability.