Regulation as an interpolation problem

Regulation as an interpolation problem
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作为插值问题的调节

DOI:
10.1016/0024-3795(95)00739-3
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发表时间:
1997
期刊:
影响因子:
--
通讯作者:
J. Schumacher
J. Schumacher
中科院分区:
--
文献类型:
--
作者:
M. Cevik;J. Schumacher

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控制器的设计使得闭环系统将跟踪参考信号或拒绝来自指定类别的干扰信号被称为“伺服机构问题”或“调节器问题”。我们在这里表明,调节器的问题可以看作是一个插值问题的子空间值函数,可以被看作是一个多变量版本的奈奎斯特曲线。结果是适用于获得一个简单的参数化的所有解决方案。
The design of a controller such that the closed-loop system will track reference signals or reject disturbance signals from a specified class is known as the “servomechanism problem” or the “regulator problem.” We show here that the regulator problem can be looked at as an interpolation problem for a subspace-valued function that can be viewed as a multivariable version of the Nyquist curve. The result is applied to obtain a simple parametrization of all solutions.