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具有非线性元件的计算机控制系统是非常复杂的。由于在一个系统中同时具有采样过程和非线性特性,所以无论是用线性采样系统理论,还是用连续的非线性系统理论和方法都难于用来描述和解决具有非线性元件的计算机控制系统(NCCS)的问题。本文经过分析、推导,得出了一种在 S 域内分析该类系统周期状态的实用描述函数法(PDF)。它还可适用于分析具有多个非线性元件的 NCCS。文中还对 PDF 法的适用范围,精度进行了分析、计算。大量仿真表明 PDF 法是足够精确的。文中还给出了用 PDF 法分析、抑制 NCCS 的周期状态的一个实例,解决了实际微机控制系统的周期状态问题,说明 PDF 法在工程上是一种有效的方法。
Computer control systems with nonlinear components are very complex. Due to the combination of sampling process and non-linearity in one system, it is difficult to describe and solve computer control system with non-linear elements (NCCS), whether using linear sampling system theory or continuous nonlinear system theory and method )The problem. After analyzing and deducing this paper, we get a practical description function method (PDF) for analyzing the periodic state of this kind of system in S domain. It is also suitable for analyzing NCCS with multiple non-linear elements. The article also analyzes and calculates the scope and precision of the PDF method. A large number of simulations show that PDF method is accurate enough. The article also gives an example of using the PDF method to analyze and restrain the periodic state of NCCS, and solves the problem of the periodic state of the actual microcomputer control system. It shows that the PDF method is an effective method in engineering.