DocumentCode
294262
Title
On γ-characteristic of H∞ control systems
Author
Aoki, Nobushige ; Ushida, Shun ; Kimura, Hidenori
Author_Institution
Dept. of Syst. Eng., Osaka Univ., Japan
Volume
3
fYear
1995
fDate
13-15 Dec 1995
Firstpage
2562
Abstract
Mustafa and Glover conjectured (1990) that the norm of the closed-loop transfer function monotonically increases as the specified norm bound γ increases, if the so-called central solution is used for controller. In this paper, a simple counter example is given to this monotonicity conjecture. A sufficient condition which guarantees the monotonicity of γ-characteristic is shown. A new upper bound for the closed-loop norm is derived which is differentiable with respect to γ
Keywords
H∞ control; closed loop systems; transfer functions; γ-characteristic; H∞ control systems; closed-loop norm; closed-loop transfer function norm; monotonicity; Centralized control; Control systems; Counting circuits; Entropy; H infinity control; Physics; Sufficient conditions; Systems engineering and theory; Transfer functions; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
0-7803-2685-7
Type
conf
DOI
10.1109/CDC.1995.478478
Filename
478478
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