采样系统的频率响应和L_2诱导范数  

Frequency Response and the L_2-induced Norm of Sampled-data Systems

作　　者：刘彦文 王广雄[1] 何朕[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,哈尔滨150001

出　　处：《控制与决策》2005年第10期1133-1136,共4页Control and Decision

基　　金：哈尔滨工业大学重点学科建设基金项目(54100179)

摘　　要：提升技术已成为采样系统设计的主要工具,但提升变换不能保证频率响应不变,故不适用于加权(函数)H∞设计.为此,针对采样控制系统的结构特点,将频率响应分为两个通道进行计算.采用经典的采样系统理论,既可以得到频率响应,又可以求得采样系统的L2诱导范数.方法简单直观,物理概念清楚.It is pointed out that the lifting technique is not suitable for H∞ synthesis with weighting functions of sampled-data systems. According to the special structure of the sampled-data control system, the signal channel is really composed of two parts： A continuous-time part and a discrete-time one. So the frequency response can be obtained via the classical sampled-data theory, and the L2-induced norm of the system can be obtained as well. This method is simple, intuitive, and with clear physical meanings.

关 键 词：采样系统 提升技术 频率响应 L2诱导范数 H∞设计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]