COMPUTATION OF THE FREQUENCY-RESPONSE GAINS AND H-INFINITY-NORM OF A SAMPLED-DATA SYSTEM

被引：16
作者：
HAGIWARA, T
ITO, Y
ARAKI, M
机构：
[1] Department of Electrical Engineering, Kyoto University, Yoshida, Sakyo-ku, Kyoto
来源：
SYSTEMS & CONTROL LETTERS | 1995年 / 25卷 / 04期
关键词：
FR-OPERATOR; FREQUENCY RESPONSE; H-INFINITY-NORM; BISECTION; NUMERICAL COMPUTATION;
D O I：
10.1016/0167-6911(94)00083-8
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a method for computing the frequency response gains and H-infinity-norm (L(2)-induced norm) of a sampled-data system composed of continuous-time and discrete-time systems together with a sampler and a hold. The method is based on the notion of FR-operator, and uses only such elementary frequency-domain notions as (conventional) z-transformation, pulse transfer function and impulse modulation formula, while the numerical computations can be carried out using state-space equations. This method turns out to have a natural parallelism to the usual methods for continuous-time and pure discrete-time systems, and the frequency response gain at each frequency can be computed to any degree of accuracy in a numerically reliable fashion.
引用
收藏
页码：281 / 288
页数：8
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