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对于同时具有采样过程和非线性元件的控制系统是非常复杂的。无论是线性采样系统理论,还是连续的非线性系统理论和方法都难于用来描述和解决非线性采样系统的问题。本文提出了一种在S域内分析非线性采样系统稳定性和周期状态的描述函数法。它可适于分析有各类非线性元件,不同结构形式,或具有多个非线性元件的非线性采样系统。 1.分析非线性采样系统的一种描述函数法; 2.用描述函数法分析具有一个非线性元件采样系统的稳定性; 3.用DF法分析具有两个非线性元件的非线性采样系统的稳定性。分析计算表明:本方法计算,作图简单,并有足够的精确度,是工程上一种有效的方法。
Control systems with both sampling and non-linear components are complex. Both linear sampling system theory and continuous nonlinear system theory and method are difficult to describe and solve the problem of non-linear sampling system. This paper presents a descriptive function method for analyzing the stability and periodicity of nonlinear sampling systems in S-domain. It can be adapted to analyze nonlinear sampling systems with various types of nonlinear elements, different structural forms, or with multiple non-linear elements. 1. Describe a descriptive function method for a nonlinear sampling system; 2. Analyze the stability of a sampling system with a nonlinear element using descriptive function method; 3. Analyze the nonlinear sampling system with two nonlinear elements by the DF method stability. Analysis and calculation shows that: This method is simple, easy to draw and has enough accuracy, it is an effective method in engineering.