Design of a Fixed-Order Controller for the Track-Following Control of Optical Disc Drives
- Authors
- Lim, Jae Sik; Ryoo, Jung Rae; Il Lee, Young; Son, Sung Yong
- Issue Date
- Jan-2012
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Fixed-order controller; frequency-domain design; Kalman-Yakubovich-Popov (KYP) lemma; linear matrix inequality (LMI); optical disc drive
- Citation
- IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, v.20, no.1, pp.205 - 213
- Journal Title
- IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
- Volume
- 20
- Number
- 1
- Start Page
- 205
- End Page
- 213
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/16670
- DOI
- 10.1109/TCST.2011.2106159
- ISSN
- 1063-6536
- Abstract
- In this paper, a systematic method for designing a fixed-order controller for the track-following control of optical disc drives is proposed. The design specifications are given in the frequency domain and are expressed as frequency-domain inequalities. On the basis of the generalized Kalman-Yakubovich-Popov lemma, each frequency-domain inequality is converted into linear matrix inequalities of the controller parameters. The controller parameters can be computed efficiently by solving a convex optimization problem to maximize the loop gain around the rotational frequency while satisfying other frequency-domain specifications on the performance and stability. Experimental results show that a reasonable performance can be obtained by using a second-order controller, and the performance can be further improved by using a third-order controller.
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