On the nonlinear equivalent of the notion of transmission zeros

On the nonlinear equivalent of the notion of transmission zeros
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关于传输零点概念的非线性等效

DOI:
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发表时间:
1988
期刊:
影响因子:
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通讯作者:
C. Moog
C. Moog
中科院分区:
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文献类型:
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作者:
A. Isidori;C. Moog

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本文的目的是证明“传输零点”概念的三种可能的刻画,即逆系统的“极点”、零输出约束动力学和在一定状态反馈下的不可观测动力学,它们对任何可逆线性系统都是等价的,但对非线性输入仿射系统可能有不同的类似物。它还表明,一些非线性版本的所谓的结构算法,提出的Hirschorn和辛格,可以成功地用于这个框架。
The purpose of this paper is to show that three possible characterizations of the notion of "transmission zero", namely "pole" of the inverse system, zero-output-constrained dynamics and unobservable dynamics under certain state-feedback, which are equivalent for any invertible linear system, may have different analogues for nonlinear input-affine systems. It is also shown that some nonlinear versions of the so-called structure algorithm, proposed by Hirschorn and Singh, may be successfully used in this framework.