A generalized KYP lemma based control design and application for 425 kTPI servo track writing

The recently developed generalized Kalman-Yakubovic-Popov (KYP) Lemma establishes the equivalence between a frequency domain property and a linear matrix inequality (LMI), and allows to solve a certain class of system design problems with multiple specifications on gain/phase properties over several frequency ranges. This paper applies the KYP lemma in a control design for microactuator to suppress the narrow-band disturbances through shaping sensitivity functions in data storage systems such as servo track writers for hard disk drives (HDDs). The KYP Lemma is applied together with the Youla parameterization approach to allow a convex optimization for achieving the desired specifications of sensitivity functions. Both LDV based experiment and implementation in a servo track writer demonstrate the effectiveness of the design method in rejecting specific frequency disturbances. In particular, the design method improves the track density of the servo track writer with 425k track-per-inch (TPI)

[1]  T. Iwasaki,et al.  Generalized S-procedure and finite frequency KYP lemma , 2000 .

[2]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[3]  A. Rantzer.  On the Kalman-Yakubovich-Popov lemma , 1996 .

[4]  D. Bernstein,et al.  LQG control with an H/sup infinity / performance bound: a Riccati equation approach , 1989 .

[5]  Long-Sheng Fan,et al.  Magnetic recording-head positioning at very high track densities using a microactuator-based, two-stage servo system , 1995, IEEE Trans. Ind. Electron..

[6]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[7]  W. Haddad,et al.  LQG control with an H∞ performance bound: a riccati equation approach , 1988, 1988 American Control Conference.

[8]  N. Park,et al.  Prediction of track misregistration due to disk flutter in hard disk drive , 2002 .

[9]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[10]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[11]  S. Nakagawa,et al.  A phase-stabilized servo controller for dual-stage actuators in hard disk drives , 2002, Digest of the Asia-Pacific Magnetic Recording Conference.

[12]  M. Tokuyama,et al.  Numerical simulation of positioning error caused by air-flow-induced vibration of head gimbals assembly in hard disk drive , 2002, Digest of the Asia-Pacific Magnetic Recording Conference.

[13]  Jinchuan Zheng,et al.  Identification and decentralized control of a dual-actuator hard disk drive system , 2005 .

[14]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.