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Rev. Sci. Instrum. 80, 013702 (2009); http://dx.doi.org/10.1063/1.3065093 (5 pages)

Model-free iterative control of repetitive dynamics for high-speed scanning in atomic force microscopy

Yang Li and John Bechhoefer

Department of Physics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada

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(Received 4 November 2008; accepted 14 December 2008; published online 8 January 2009)

We introduce an algorithm for calculating, offline or in real time and with no explicit system characterization, the feedforward input required for repetitive motions of a system. The algorithm is based on the secant method of numerical analysis and gives accurate motion at frequencies limited only by the signal-to-noise ratio and the actuator power and range. We illustrate the secant-solver algorithm on a stage used for atomic force microscopy.

© 2009 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. DESCRIPTION OF THE ALGORITHM
    1. Linear solver
    2. Secant solver
  3. APPLICATION TO AFM SCANNERS
  4. CONCLUSION

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ISSN

0034-6748 (print)  
1089-7623 (online)

For access to fully linked references, you need to log in.
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    Y. Li and J. Bechhoefer, Rev. Sci. Instrum. 78, 013702 (2007)RSINAK000078000001013702000001.

    A. C. Shegaonkar and S. M. Salapaka, Appl. Phys. Lett. 91, 203513 (2007)APPLAB000091000020203513000001.

    D. A. Bristow, J. Dong, A. G. Alleyne, P. Ferriera, and S. Salapaka, Rev. Sci. Instrum. 79, 103704 (2008)RSINAK000079000010103704000001.

    T. Fukuma, Y. Okazaki, N. Kodera, T. Uchihashi, and T. Ando, Appl. Phys. Lett. 92, 243119 (2008)APPLAB000092000024243119000001.


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