Title :
On γ-characteristic of H∞ control systems
Author :
Aoki, Nobushige ; Ushida, Shun ; Kimura, Hidenori
Author_Institution :
Dept. of Syst. Eng., Osaka Univ., Japan
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478478
