Journal of the Institute of Electronics Engineers of Korea SC (전자공학회논문지SC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Robust and Non-fragile $H^{\infty}$ Controller Design for Tracking Servo of Blu-ray disc Drive System

Blu-ray 디스크 드라이브 시스템 트래킹 서보시스템에 대한 견실비약성 $H^{\infty}$ 상태궤환 제어기 설계

  • 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)
  • 이형호 (삼성전자 디지털 프린팅 사업부) ;
  • 김준기 (LG전자 HLDS 개발실) ;
  • 김원기 (대구모바일단밀상용화센터) ;
  • 조상우 (경북대학교 전자전기컴퓨터학부) ;
  • 박홍배 (경북대학교 전자전기컴퓨터학부)
  • Published : 2008.05.25
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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.

본 논문에서는 blu-ray 디스크 드라이버의 트랙킹 서보시스템에 대하여 플랜트와 제어기의 불확실성을 보상하는 견실비약성 $H^{\infty}$ 상태궤환 제어기 설계방법을 제안한다. 플랜트와 제어기의 불확실성을 매개변수화 선형행렬부등식(PLMI: parameterized linear matrix inequality)을 이용하여 구조화된 불확실성의 형태로 표현하며, Lyapunov 함수를 이용하여 구조적인 제어기의 이득섭동을 고려한 견실비약성 $H^{\infty}$ 상태궤환 제어기가 존재할 충분조건 및 제어기 설계방법을 PLMI의 형태로 제안한다. 또한, 완화기법(relaxation technique)을 통하여 PLMI를 유한개의 LMI의 형태로 변환하여 견실하고 최적화된 제어기 이득과 제어기 섭동 범위를 계산하고, 모의실험을 통해서 제시된 제어기의 타당성 및 견실성(robustness)과 비약성(non-fragility)을 검증한다.

Keywords

References

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