Acta Mechanica Solida Sinica

, Volume 19, Issue 4, pp 297–306 | Cite as

Optimal track seeking control of dual-stage actuator for high density hard disk drives

  • Haomiao Zhou
  • Jie Wang
  • Youhe Zhou
  • Xiaojing Zheng


Based on generalized the variation method, by introducing Hamilton function and Lagrange multiplier, this paper proposed a linear quadratic optimal control strategy for an incomplete controllable system with fixed terminal state and time. Applying the proposed optimal control to the simple two-input dual-stage actuator magnetic head positioning system with three degrees-of-freedom, the simulation results show that the system has no residual vibration at the terminal position and time, which can reduce the total access time during head positioning process. To verify the validation of the optimal control strategy of three degrees-of-freedom spring-mass models in actual magnetic head positioning of hard disk drives, a finite element model of an actual magnetic head positioning system is presented. Substituting the optimal control force from simple three degrees-of-freedom spring-mass models into the finite element model, the simulation results show that the magnetic head also has no residual vibration at the end of track-to-track travel. That is to say, the linear quadratic optimal control technique based on simple two-input dual-stage actuator system with three degrees-of-freedom proposed in this paper is of high reliability for the industrial application of an actual magnetic head positioning system.

Key words

hard disk drives optimal track seeking control generalized variation method residual vibrationless 


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  1. [1]
    Zheng X.J., Zhou H.M. and Zhou Y.H., Simultaneous measurements of the magnetostrictive coefficient, Young’s modulus, and passion ratio of the thin film considering the thickness of film, Acta Mechanica Solida Sinica, Vol.27, No.2, 2006, 116–120 (in Chinese).Google Scholar
  2. [2]
    Zhou H.M., Zheng X.J. and Zhou Y.H., Vibration active control of nonlinear giant magnetostrictive actuators, Smart materials and structure, Vol.15, 2006, 792–798.CrossRefGoogle Scholar
  3. [3]
    Zhou H.M. and Zhou Y.H., Finite Element Modeling for Behaving dynamic control of actuator of piezoelectric smart plates, Journal of Lanzhou University (Natural Sciences), Vol.40, No.2, 2004, 20–24 (in Chinese).Google Scholar
  4. [4]
    Zhou Y.H., Wang J.Z., Zheng X.J. and Jiang Q., Vibration control of variable thickness plates with piezoelectric sensors and actuators based on wavelet theory, Journal of Sound and Vibration, Vol.237, No.3, 2000, 395–410.CrossRefGoogle Scholar
  5. [5]
    Wang J. and Zhou Y.H., A 2-D analytical solution of electromechanical characteristics to a Piezoelectric actuator with split electrode in the control of precision position of magnetic head, Acta Mechanica Sinica, Vol.34, No.4, 2002, 622–628 (in Chinese).Google Scholar
  6. [6]
    Tzou H.S. and Zhou Y.H., Dynamics and controls of piezoelectric circular plates with geometrical nonlinearity, Journal of Sound and Vibration, Vol.188, No.2, 1995, 189–207.CrossRefGoogle Scholar
  7. [7]
    Fan L.S., Ottesen H.H., Reiley T.C. and Wood R.W., Magnetic recording head positioning at very high track densities using a microactuator-based two-stage servo system, IEEE Transactions on Industrial Electronics, Vol.42, No.3, 1995, 222–233.CrossRefGoogle Scholar
  8. [8]
    Lee, S-H, Kim, Y-H and Baek, S-E, Modeling and control of a dual-stage actuator for hard disk drive servo systems, Proceedings of the Control Conference, Chicago, 2000, 4254–4258.Google Scholar
  9. [9]
    Yen, J-Y, Hallamasek K. and Horowitz R., Track-following controller design for a compound disk drive actuator, Journal of Dynamic Systems, Measurement, and Control, Vol.112, 1990, 391–402.CrossRefGoogle Scholar
  10. [10]
    Miu D.K. and Bhat S.P., Minimum power and minimum jerk position control and it’s application in computer disk drives, IEEE Transactions on Magnetics, Vol.27, No.6, 1991, 4471–4475.CrossRefGoogle Scholar
  11. [11]
    Bhat S.P. and Miu D.K., Precise point-to-point positioning control of flexible structures, Journal of Dynamic Systems, Measurement, and Control, Vol.112, 1990, 667–674.CrossRefGoogle Scholar
  12. [12]
    Hindle T.A. and Singh T., Robust minimum power/jerk position control of maneuvering structures, Journal of Guidance, Control, and Dynamics, Vol.24, No.4, 2001, 816–826.CrossRefGoogle Scholar
  13. [13]
    Jie X.S., Optimal Control—Theory and Application, Beijing: Tsinghua University Press, 1986 (in Chinese).Google Scholar
  14. [14]
    Hu S.S., Automatic Control Principle, Beijing: National Defence Industry Press, 1994 (in Chinese).Google Scholar
  15. [15]
    Bryson A.E., and Ho Y.C., Applied Optimal Control: Optimization, Estimation and Control, John Wiley & Sons, Inc., New York, 1975.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Haomiao Zhou
    • 1
  • Jie Wang
    • 1
  • Youhe Zhou
    • 1
  • Xiaojing Zheng
    • 1
  1. 1.Department of Mechanics and Engineering ScienceCollege of Civil Engineering and Mechanics, Lanzhou UniversityLanzhouChina

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