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Robust and Non-fragile $H^{\infty}$ Controller Design for Tracking Servo of Blu-ray disc Drive System  

Lee, Hyung-Ho (Digital Printing Division Samsung Electronics Co. LTD)
Kim, Joon-Ki (Hitachi-LG Data Storage Inc.)
Kim, Woon-Ki (Mobile Technology Commercial Center)
Jo, Sang-Woo (School of Electrical engineering and Computer Science, Kyungpook National University)
Park, Hong-Bae (School of Electrical engineering and Computer Science, Kyungpook National University)
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Abstract
In this paper, we describe the synthesis of robust and non-fragile $H^{\infty}$ state feedback controllers for linear systems with affine parameter uncertain tracking servo system of blu-ray disc drive, as well as static state feedback controller with polytopic uncertainty Similarity any other control system, the objective of the track-following system design for optical disc drives is to construct the system with better performance and robustness against modeling uncertainties and various disturbances. Also, the obtained condition can be rewritten as parameterized linear matrix inequalities(PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of controller gain variations within a resulted polytopic region.
Keywords
Parameterized LMI; Robust; Non-fragile; Tracking; Blu-ray disc drive system;
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