稳态反馈系统的几何结构

29th IEEE Conference on Decision and Control Pub Date : 1990-12-05 DOI:10.1109/CDC.1990.204076

A. Ohara, T. Kitamori

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引用次数: 27

摘要

给出了所有稳定状态反馈增益集合的参数化，并使用了稳定矩阵集合中稳定状态反馈系统集合的几何结构。结果表明，为这些集合提供一个向量束结构是很自然的。所得结果不仅为用参数化方法设计状态反馈增益提供了基本指导，而且为分析线性稳定系统的结构提供了新的方法

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Geometric structures of stable state feedback systems

A parameterization of the set of all stabilizing state feedback gains is given, and a geometric structure of the set of stable state feedback systems in the set of stable matrices is used. It is shown that it is natural to provide these sets with a vector bundle structure. Obtained results not only provide fundamental guidelines for designing state feedback gains using parameterization, but also a new approach to analyzing structures of linear stable systems.<>

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29th IEEE Conference on Decision and Control

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