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耦合度的新定义及其应用
引用本文:王永初,王启志.耦合度的新定义及其应用[J].华侨大学学报(自然科学版),1999(3).
作者姓名:王永初  王启志
作者单位:华侨大学机电工程系
基金项目:国家自然科学基金,福建省自然科学基金
摘    要:耦合度是多变量间交互影响的一种度量,这种影响会导致系统品质下降.如何表征耦合是解耦控制的核心问题.Bristol提出相对放大系数方法,Rosenbrock也提出一种判断系数耦合度的方法,但这些方法无法真正反映系统的耦合度.根据支路控制能力同其他干涉能力的一种特殊比值,提出系统耦合度的新定义.利用分离支路最大耦合度的逐次分离方法,将一个强耦合系统演变成一个松散耦合的系统,并讨论耦合度转换成相对放大系数的条件.采用若干例子来解释这种新耦合度的工程应用;通过仿真实验,证实其在解耦系统中对改善控制品有显著的效果

关 键 词:系统耦合度,相对放大系数,解耦控制,多变量控制

New Definition of Coupling Degree and Its Application
Wang Yongchu,Wang Qizhi.New Definition of Coupling Degree and Its Application[J].Journal of Huaqiao University(Natural Science),1999(3).
Authors:Wang Yongchu  Wang Qizhi
Abstract:Based on a specific ratio of the control ability of a branch or shunt to the interference abilities from other branches or shunts,a new definition is given to the coupling degree of a system.By making use of the method of stepwisely separation which separates maximal coupling degree of a branch or shunt,a seriously coupled system can be evolved into a loosely coupled system.The conditions under which the coupling degree transferred into relative magnification coefficient are discussed.The engineering application of this new definition of coupling examples;its remarkable effect of improving control sample in decoding system is proved by simulation experiment.Coupling degree is a measure of reciprocal effect between multivariables.This effect will lead to quality decrease of the system.How to characterizethe coupling is the crux of decoupling control.The method of relative magnification coefficient as proposed by Bristol and the method for judging coupling degree of coefficients as proposed by Rosenbrock are unable to reflect coupling degree of the system really.
Keywords:coupling degree of system  relative magnificient coefficient  decoupling control  multivariate control  
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