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Robust H control with multiple constraints forthe track-following system of an optical disk drive
Moon-Noh Lee   Jung-Ho Moon   Kyoung Bog Jin   Myung Jin Chung  
Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Seoul;

This paper appears in: Industrial Electronics, IEEE Transactions on
Publication Date: Aug 1998
Volume: 45,  Issue: 4
On page(s): 638-645
ISSN: 0278-0046
References Cited: 21
CODEN: ITIED6
INSPEC Accession Number: 6000792
Digital Object Identifier: 10.1109/41.704893
Current Version Published: 2002-08-06

Abstract
In this paper, the authors design a tracking controller which satisfies transient response specifications and maintains tracking error within a tolerable limit for the uncertain track-following system of an optical disk drive. To this end, a robust H control problem, with regional stability constraints and sinusoidal disturbance rejection is considered. The internal model principle is used for rejecting the sinusoidal disturbance caused by eccentric rotation of the disk. The authors show that a condition satisfying the regional stability constraints can be expressed in terms of a linear matrix inequality (LMI) using the Lyapunov theory and S-procedure. Finally, a tracking controller is obtained by solving an LMI optimization problem involving two LMIs. The proposed controller design method is evaluated through an experiment

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