UPPER AND LOWER BOUNDS FOR APPROXIMATION IN THE GAP METRIC

被引：8
|
作者：
GEORGIOU, TT [1 ]
SMITH, MC [1 ]
机构：
[1] UNIV CAMBRIDGE,DEPT ENGN,CAMBRIDGE CB2 1PZ,ENGLAND
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1993年 / 38卷 / 06期
关键词：
D O I：
10.1109/9.222308
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 note establishes upper and lower bounds for the closest approximant of degree k < n in the gap metric to a plant of degree n. The bounds are expressed in terms of the singular values of two Hankel operators defined from the symbol of the graph of the plant. The question of robust stability and performance of feedback systems is examined in the context of approximation of plant and controller in the gap metric.
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页码：946 / 951
页数：6
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