DocumentCode
3474573
Title
Upper and lower bounds for approximation in the gap metric
Author
Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fYear
1991
fDate
11-13 Dec 1991
Firstpage
2262
Abstract
The authors establish 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
Keywords
approximation theory; feedback; optimisation; stability; Hankel operators; approximation; feedback systems; gap metric; graph symbols; lower bounds; robust stability; upper bounds; Control systems; Feedback; Hydrogen; Robust stability; Transfer functions; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location
Brighton
Print_ISBN
0-7803-0450-0
Type
conf
DOI
10.1109/CDC.1991.261550
Filename
261550
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