The class of stabilizing nonlinear plant controller pairs
The class of stabilizing nonlinear plant controller pairs
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DOI：
10.1109/9.489201
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发表时间：
1996-05
期刊：
影响因子：
--
通讯作者：
A. Paice;A. Schaft
中科院分区：
文献类型：
--
作者：
A. Paice;A. Schaft
本文采用一般的方法给出了一类稳定的被控对象控制器对的刻画，它是线性系统Youla参数化法的推广。这是基于将对象和控制器的输入-输出对表示为某个相关算子的核的元素的思想，该核表示为系统的核表示。证明了在某种意义上，核表示是一般非线性系统左互质分解的推广。给出了一种导出具有一般状态空间描述的非线性对象的核表示的方法。
In this paper a general approach is taken to yield a characterization of the class of stable plant controller pairs which is a generalization of the Youla parameterization for linear systems. This is based on the idea of representing the input-output pairs of the plant and controller as elements of the kernel of some related operator which is denoted the kernel representation of the system. It is demonstrated that in some sense the kernel representation is a generalization of the left coprime factorization of a general nonlinear system. Results giving one method of deriving a kernel representation for a nonlinear plant with a general state-space description are presented.