Automated Multiple Robust Track-Following Control System Design in Hard Disk Drives

This brief proposes a new design procedure for track-following control systems in hard disk drives. The procedure is automated, in the sense that, for given experimental frequency response data of the suspension arm dynamics and a model structure, it automatically derives a transfer function set with uncorrelated parametric uncertainties. Subsequently, for the transfer function set, a given controller structure, and closed-loop performance specifications in the frequency domain, it automatically designs a partition of the uncertainties and corresponding multiple robust controllers. For the transfer function set derivation, nonlinear principal component analysis is utilized to determine correlations among coefficient parameter variations. For multiple robust controller design, a nonsmooth optimization approach is taken to deal with complex multiobjective control problems, as well as to reduce the computational cost, which is often an issue in multiple robust controller design. Simulations and experiments on actual hard disk drives demonstrate the usefulness and efficiency of the proposed procedure.

[1]  H. Akaike A new look at the statistical model identification , 1974 .

[2]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[3]  Sundeep Rangan,et al.  An LFT Approach to Parameter Estimation , 1997 .

[4]  Toshiki Hirano,et al.  Dual-stage servo controller for HDD using MEMS microactuator , 1999 .

[5]  William C. Messner,et al.  On compensator design for linear time-invariant dual-input single-output systems , 2001 .

[6]  Tong Heng Lee,et al.  Hard Disk Drive Servo Systems , 2002 .

[7]  Iven Mareels,et al.  System identification and controller design for dual actuated hard disk drive , 2004 .

[8]  Roberto Horowitz,et al.  Robust Control Synthesis Techniques for Multirate and Multi-sensing Track-following Servo Systems in HDDs , 2005 .

[9]  Abdullah Al Mamun,et al.  Hard Disk Drive: Mechatronics and Control , 2006 .

[10]  R. Horowitz,et al.  Robust dynamic modeling and control of dual-stage actuators , 2006, IEEE Transactions on Magnetics.

[11]  Pierre Apkarian,et al.  Nonsmooth H∞ synthesis , 2005, IEEE Trans. Autom. Control..

[12]  Pierre Apkarian,et al.  IQC analysis and synthesis via nonsmooth optimization , 2006, Syst. Control. Lett..

[13]  R. Horowitz,et al.  Model Reduction and Parametric Uncertainty Identification for Robust $H_{2}$ Control Synthesis for Dual-Stage Hard Disk Drives , 2007, IEEE Transactions on Magnetics.

[14]  T. Hastie,et al.  Principal Curves , 2007 .

[15]  Pierre Apkarian,et al.  Nonsmooth optimization for multiband frequency domain control design , 2007, Autom..

[16]  Pierre Apkarian,et al.  Mixed H2/Hinfinity Control via Nonsmooth Optimization , 2008, SIAM J. Control. Optim..

[17]  Sundeep Rangan,et al.  An LFT approach to parameter estimation , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[18]  Jongeun Choi,et al.  Multiple robust track‐following controller design in hard disk drives , 2008 .

[19]  Pierre Apkarian,et al.  Control design in the time and frequency domain using nonsmooth techniques , 2008, Syst. Control. Lett..

[20]  Roberto Horowitz,et al.  Robust Control of Dual-Stage Servo Systems in Hard Disk Drives , 2008 .

[21]  Pierre Apkarian,et al.  Mixed H2/H∞ control via nonsmooth optimization , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[22]  Hongbo Zhang,et al.  Dual-stage HDD head positioning using an H∞ almost disturbance decoupling controller and a tracking differentiator , 2009 .

[23]  Ryozo Nagamune,et al.  Multiple robust H∞ controller design using the nonsmooth optimization method , 2010 .

[24]  F. Sassani,et al.  Parameter Uncertainty Modeling Using the Multidimensional Principal Curves , 2010 .

[25]  Roberto Horowitz,et al.  Robust Control Synthesis Techniques for Multirate and Multisensing Track-Following Servo Systems in Hard Disk Drives , 2010 .

[26]  Jongeun Choi,et al.  Parameter Reduction in Estimated Model Sets for Robust Control , 2010 .