摘要
基于增大求解方法选择性的目的,本文给出了一种从系统开环传递函数入手求解极限增益和极限频率的计算方法,并以TITO系统为例,给出了详细的推导过程;此外,在详细研究设计方法的基础上,本文以两个典型对象作为研究对象对设置点位置与逆Nyquist阵列(INA)设计方法的多变量PID控制器设计方法的设计性能之间的规律性进行了系列仿真实验研究,并得出:系统开环传递函数矩阵的逆的行Gershgorin带与负实轴的交点(离原点最近的交点)与点(-1,j0)之间的距离越远,系统闭环响应曲线的震荡性越弱,系统的稳定裕量越大。
A new algorithm for ultimate gain and ultimate frequency, calculating from system open-loop transfer function initally, is presented aiming at increasing choice, and the datailed derivation is introduced taking TITO system as example .In addition, taking two typical objects as research objects, this paper gives the further discussion for the design method of the multivariable PID controller based on Inverse Nyquist Array method by simulation experiments, which is the regularity between the position of setpoint and its design perfor- mance, based on detailed study of design method, and draws conclusion as follow： more far the distance between the intersection of the raw Gershgorin band of the inverse matrix of system open-loop transfer function and negative real axis （the nearest point away from origin） and point （-1,j0）, more weak the concussion of closed-loop response curve, and more big the stability margin of system.
出处
《软件》
2011年第11期20-24,共5页
Software
关键词
极限点
极限增益
极限频率
稳定裕度
多变量PID控制
ultimate point
ultimate gain
ultimate frequency
stability margin
multivariable PID control
