用描述函数分析模糊控制系统的稳定性

Application of Describing Function in Stability Analysis of Fuzzy Control System

提出用快速傅立叶变换计算二维模糊控制器的描述函数,并用来判别模糊控制系统的稳定性。文中给出了具体的计算方法和步聚。计算过程和结果表这种方法简单、实用,不仅适合于 PD 类型的二维模糊控制器的稳定性分析,也适合于 PI类型的二维模糊控制器和 PID类型的三维模糊控制器。对于分析上述类型的模糊控制系统的稳定性具有工程应用价值。

In order to analyze the stability of fuzzy control systems,the description function of fuzzy controller is calculated by using the fast Fourier transformation. The process and steps of calculation are given in this paper. The calculated process and result show that the method is very simple and practical. It is fit for the stability analysis of not only two dimensional PD and PI type fuzzy controller, but also the three dimensional PID ones. It is very valuable in engineering application for the stability analysis of those type fuzzy control systems.