系统辨识(2):系统描述的基本模型  

System identification.Part B: Basic models for system description

作　　者：丁锋[1,2] 

机构地区：[1]江南大学物联网工程学院,无锡214122 [2]江南大学控制科学与工程研究中心,无锡214122

出　　处：《南京信息工程大学学报（自然科学版）》2011年第2期97-117,共21页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(60973043)

摘　　要：控制是一切科学问题的核心.数学模型是一切控制问题的基础.事物的运动规律用方程描述就是数学模型.不同学科的发展就是建立其数学模型的过程.本文首次把线性动态系统数学模型分为三类:时间序列模型,方程误差类模型,输出误差类模型;详细介绍了线性系统的一些基本数学模型,包括连续系统离散化和模型等价变换,单输入单输出随机系统模型,多变量系统模型,类多变量系统模型,多输入和多输出系统模型(传递函数阵主模型、子模型、子子模型,多输入单输出系统模型,单输入多输出系统模型等).Control is the core of all scientific issues. Mathematical models are the basis of all control problems. The movement law of things described by equations is the mathematical model. The development of different disciplines is to establish the process of their mathematical models. This paper divides the mathematical models of the linear dynamic systems into three categories：the time-series models, models, and introduces basic mathematical models of linear the equation error type models and the output error type systems in detail,including the discretization of continuous-time system models and model equivalence transform, single-input single-output stochastic system,multivariable systems,multivariable-like systems, multiple-input and multiple-output systems such as the main model, submodel and sub-submodel of the transfer function matrix, multiple-input single-output systems, and single-input multipleoutput systems

关 键 词：数学模型 系统辨识 参数估计 CAR模型 ARX模型 CARMA模型 ARMAX模型 CARARMA模型 OEMA模型:OEAR模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]