控制输入的线性时滞系统可辨识性分析  

Identifiability analysis of linear time-delay system with control input

作　　者：赵继春[1] 沈元隆[1] 

机构地区：[1]南京邮电学院电子工程系,江苏南京210003

出　　处：《重庆邮电学院学报（自然科学版）》2004年第2期88-91,共4页Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition)

摘　　要：线性时滞系统的辨识性分析是过程控制理论的研究课题之一,通过对系统差分方程的讨论,在4个定义的基础上推出了2个定理,进而证明了可辨识性。阐述了输入充分不平稳信号时,线性时滞系统传递函数的在线辨识性和可控输入的不连续性决定着系统马尔科夫参数的可辨识性,分析了系统传递函数的在线辨识性和系统马尔科夫参数可辨识性的关系。这些分析无论在理论上,还是在工业应用中都具有重要意义。Identifiability analysis of linear time-delay system is one of research subjects in process control. This paper advances 4 definitions and 2 theorems by discussing functional differential equations of the system, and then proves the system identifiablity. It states that identification of the system Markov parameters en-forced by a sufficiently discontinuous control input and transfer function of such a system admits the online identifiability if a sufficiently nonsmooth input is applied to the system, and it is shown that online identification of the transfer function of system does not imply identifiability of the system parameters. These analyses are valuable and important in theory and application.

关 键 词：控制输入 线性时滞系统 传递函数 可辨识性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O235[自动化与计算机技术—控制科学与工程]