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Hankel范数准则的应用:多变量模型匹配设计方法
引用本文:姚一新 王广雄. Hankel范数准则的应用:多变量模型匹配设计方法[J]. 宇航学报, 1990, 0(4): 15-22
作者姓名:姚一新 王广雄
作者单位:哈尔滨工业大学(姚一新),哈尔滨工业大学(王广雄)
摘    要:本文在Hankel范数空间研究多变量控制系统模型匹配问题,其中包括完全和不完全模型匹配。应用本文提出的方法,可以获得一个Hankel范数意义下的最优模型匹配控制器。文中提出了一种多变量控制系统完全模型匹配的充要条件。如果这一条件满足,可实现完全模型匹配。如果条件不满足,可以求得一个最优的近似解。文中还给出了设计例子。

关 键 词:多变量控制 模型匹配 Hankel范数

THE APPLICATION OF THE HANKEL NORM CRITERION. A DESIGN METHOD FOR MODEL MATCHING IN MULTIVARIABLE LINEAR SYSTEMS
Yao Yixin Wang Guangxiong. THE APPLICATION OF THE HANKEL NORM CRITERION. A DESIGN METHOD FOR MODEL MATCHING IN MULTIVARIABLE LINEAR SYSTEMS[J]. Journal of Astronautics, 1990, 0(4): 15-22
Authors:Yao Yixin Wang Guangxiong
Affiliation:Harbin Institute of Technology
Abstract:In this paper the model matching (perfect and imperfect) problem in multi-variable linear systems is studied in Hankel norm space. With this approach, one can construct an optimal model matching control in the sense of a Hankel-norm. A necessary and sufficient condition for perfect model matching in linear multivariable systems is derived. If this is satisfied an exact model matching control- will result; If this fails, an optimal approximate design can be implemented. A design example is also given in this paper.
Keywords:Hankel norm   Multivanable control   Model matching   Frequency domain method.
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