H_∞离散化的MATLAB程序  

H∞ discretization using MATLAB

作　　者：王广雄[1] 刘彦文 何朕[1] 王勇莉[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001

出　　处：《电机与控制学报》2004年第4期316-318,共3页Electric Machines and Control

基　　金：哈尔滨工业大学重点学科建设基金资助项目(54100179)

摘　　要：提升技术现已成为采样控制系统分析和设计的主要工具。系统提升后成为一离散系统,其H∞范数与原采样系统的L2诱导范数是等价的,故称为H∞离散化。提升计算包括矩阵的指数和积分运算,一般是很复杂的。本文给出了利用MATLAB的提升算法,算法简单可靠;同时还给出了求取等价系统H∞范数γ值的二分法并配有算例。The lifting technique has now become a main tool for the design and/or analysis of the sampled-data control systems. The lifted system is a discrete-time system, and its H∞-norm is equivalent to the L2-induced norm of the original sampled-data system. So the lifting of the continuous-time plant is also called H∞ discretization. The lifting computation is rather complicated and involves the computation of the matrix exponential function and matrix integration. A lifting algorithm using MATLAB is proposed in the paper. It is simple and reliable. A bisection search algorithm for computing the H∞-norm of the equivalent system is also proposed. An example is given in the paper.

关 键 词：离散系统 采样控制系统 H∞离散化 MATLAB程序 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置]