系统辨识(3):辨识精度与辨识基本问题

System identification.Part C:Identification accuracy and basic problems

系统辨识是研究建立系统数学模型的理论与方法.讨论系统辨识涉及的一些基本问题,包括辨识精度、辨识方法的提出,辨识输入信号的设计,参数可辨识性与系统可辨识性,开环可辨识性与闭环可辨识性,可辨识性与能控性和能观测性的关系,可辨识性与输入信号的关系,以及与辨识方法收敛性相关的激励信号与激励条件,辨识算法收敛分析的基本工具,典型辨识算法的收敛结论等.

System identification is the theory and methods of establishing the mathematical models of systems.This paper discusses some basic issues involved in system identification,including the identification accuracy,the identification methods,the input signal design,the parameter identifiability and system identifiability,the open-loop identifiability and closed-loop identifiability,the identifiability and the controllability and observability,the identifiability and the input signal,and the excitation signal and the excitation conditions relate to the convergence of identification methods,and the convergene theorems of some typical identification algorithms.