PM Diagram of the Transfer Function and Its Use in the Design of Controllers

作     者：Santiago Garrido Luis Moreno 

作者机构：Carlos Ⅲ University of Madrid Spain 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2015年第5卷第4期

页      面：138-149页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 080201[工学-机械制造及其自动化] 

主　　题：Root Locus PID controller Lead network Bode plot Phase margin Gain margin. 

摘      要：This paper presents an enhanced Root Locus diagram that consists of the representation of the phase and the magnitude of the transfer function G（s） of a system. The magnitude is represented in decibels and the phase is represented by colors. It also presents how to use it to calculate different kinds of controllers. An important characteristic of this diagram is that permits to read the phase and the gain margins directly and the imaginary axis cut represents the Bode diagram. It is also possible to put the grid with damping ratio ξ and frequency ωn.