线性模糊控制器设计的一种新方法

A New Method for Designing Linear Fuzzy Controllers

基于模糊语言控制规则描述的模糊控制,已成功地用于工业过程控制并具有广泛的应用前景。但常规的模糊控制器的设计其计算和编程非常麻烦,该文介绍线性模糊PID控制器设计的一种新方法。首先推导模糊线性PID控制器的数学等效式,用Mamdani方法进行模糊控制算法,在MATLABSimulink和Floulib工具帮助下用Mamdani方法取一阶控制对象进行二维PI模糊控制仿真实验,并分别画出模糊PI阶跃响应及其与传统PI控制器阶跃响应之差的曲线和三维区间图,理论分析与实验结果表明:采用Mamdani方法进行线性模糊PID设计与传统的方法相比,在应用上简便、清晰、具有一定的实用价值。

<Abstrcat> The fuzzy control based on the control rule described by the fuzzy language, has been successfully used in the industry control process and has an extensive foreground of application. But the calculation and programing for designing the normal fuzzy controller are very inconvenient.A new method of fuzzy PID controller design is introduced in this text. First we deduce the mathematics equivalent formula of Linear Fuzzy controller, and use the Mamdani method to carry out the fuzzy arithmetic. Mamdani method was applied to carry out two dimensional PI Fuzzy control experiment by using first-order control system.Then we draw out the step response curve of fuzzy PI control , the curve of difference between the step response of fuzzy PI control and tradition PID control and the three dimensional figure .The simulation test and analysis of theory show that: compare to tradition PID control , using Fuzzy Linear PID control is more convenient ,clear ,and valuable in application.