Least-squares identification of closed-loop systems
Least-squares identification of closed-loop systems
复制标题
闭环系统的最小二乘辨识
DOI：
10.1080/00207177508922023
复制
发表时间：
1975
影响因子：
2.1
通讯作者：
J. Edmunds
中科院分区：
文献类型：
--
作者：
P. Wellstead;J. Edmunds
研究了闭环系统的最小二乘估计问题。所考虑的特定配置是由线性、稳态反馈调节器控制的单输入单输出离散线性系统。得到的结果确定的唯一性和一致性的条件的最小二乘估计的前向路径传递函数。特别是，它示出，如果两个正交的不可观测的噪声源存在，在每个路径中的一个，系统是唯一可识别的。当反馈路径是无噪声时，估计的唯一性取决于调节器回归多项式的阶数。假设环路中至少有一个延迟项，则在白色前向路径干扰的情况下，估计的一致性得到保证。
The problem of least-squares estimation of closed-loop systems is examined. The particular configuration considered is the single input-single output discrete linear system controlled by a linear, stationary feedback regulator. Results are obtained which determine the conditions for uniqueness and consistency of the least-squares estimates of the forward-path transfer function. In particular, it is shown that if two orthogonal unobservable noise sources are present, one in each path, the system is uniquely identifiable. When the feedback path is noise-free the uniqueness of the estimates is dependent upon the order of the regulator regression polynomials. The consistency of the estimates in the case of a white forward-path disturbance is assured provided that there is at least one delay term in the loop.