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.
出处
《电机与控制学报》
EI
CSCD
北大核心
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)
