引用本文:顾大伟.线性多变量控制系统的H∞设计方法[J].控制理论与应用,1987,4(3):10~15.[点击复制]
Gu Dawei.THE H∞ APPROACH TO THE DESIGN OF LINEAR MULTIVARIABLE CONTROL SYSTEMS[J].Control Theory and Technology,1987,4(3):10~15.[点击复制]
线性多变量控制系统的H∞设计方法
THE H∞ APPROACH TO THE DESIGN OF LINEAR MULTIVARIABLE CONTROL SYSTEMS
摘要点击 691  全文点击 370  投稿时间:1986-08-05  修订日期:1987-01-21
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DOI编号  
  1987,4(3):10-15
中文关键词  
英文关键词  
基金项目  
作者单位
顾大伟 英国牛津大学 
中文摘要
      八十年代以来,国外出现了线性多变量控制系统的H∞设计方法。它以稳定的传递函数矩阵的线性空间即H∞空间的某种范数作为系统的性能指标。设计目标是在可能发生的最坏干扰下使系统的误差在这种范数的意义下为最小。这样控制系统的设计就归结为一个“极小极大”问题。H∞设计方法近年来发展迅速,受到很多人应有的注意。有人把它说成是控制理论的“一场静悄悄的革命”。但是迄今为止H∞方法还是一种正在发展的方法,因此也有许多科学家目前对它还持观望态度。
英文摘要
      The H∞ approach to the design of linear multivariable control systems appears internationally since the 1980’s. To assess the system performance, it uses the H∞norm, that is, certain norm in the linear space of stable transfer-function matrices. The design target is to minimize the system error in the sense of this norm under the worst possible disturbances. The control system design problem thus boils down to a “mini-max” problem. The H∞ design approach develops rapidly in recent years and has attracted deserved attention from many people. Some describe it as “a quiet revolution” in control theory. But so far the H∞ approach is a developing method, many scientists still take a wait-and-see attitude.