Journal of Applied Physics
   
 
 
 
Next Article
Optimal control of force microscope cantilevers. II. Magnetic coupling implementation
We describe the implementation of optimal controllers for damping the motion of cantilevers used in magnetic resonance force microscopy. We demonstrate that optimal control is achievable and that tors...

Optimal control of force microscope cantilevers. I. Controller design

J. Appl. Phys. 80, 1951 (1996); doi:10.1063/1.363085

Issue Date: 15 August 1996

You are not logged in to this journal. Log in

J. L. Garbini, K. J. Bruland, and W. M. Dougherty
Department of Mechanical Engineering, University of Washington, Seattle, Washington 98195

J. A. Sidles
Department of Orthopædics, University of Washington, Seattle, Washington 98195
In magnetic resonance force microscopy (MRFM) experiments, magnetic forces couple to the motion of microscale cantilever beams. Extension of MRFM to the detection of single electrons will require both unprecedented force sensitivity and motional stability of the cantilever. We describe the principles and performance of optimal cantilever motion control. The method accounts for inherent noise processes and practical application of control forces. We show that active feedback control improves cantilever motional stability, enabling instrument designs of much higher sensitivity and faster imaging than passive designs. Experimental results of implemented cantilever control systems are presented in Part II. ©1996 American Institute of Physics.
History: Received 21 November 1995; accepted 13 May 1996
Permalink: http://link.aip.org/link/?JAPIAU/80/1951/1
BUY THIS ARTICLE   (US$28)
Download PDF (173 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 07.79.Pk
    Instruments, apparatus, components, and techniques common to several branches of physics and astronomy Scanning probe microscopes, components, and techniques Magnetic force microscopes
  • YEAR: 1996

PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (18)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. D. Rugar, C. S. Yannoni, and J. A. Sidles, Nature 360, 563 (1992).
  2. O. Züger and D. Rugar, Appl. Phys. Lett. 63, 2496 (1993).
  3. O. Züger and D. Rugar, J. Appl. Phys. 75, 6211 (1994).
  4. D. Rugar, O. Züger, S. Hoen, C. S. Yannoni, H.-M. Vieth, and R. D. Kendrick, Science 264, 1560 (1994).
  5. K. J. Bruland, J. Krzystek, J. L. Garbini, and J. A. Sidles, Rev. Sci. Instrum. 66, 2853 (1995).
  6. J. A. Sidles and D. Rugar, Phys. Rev. Lett. 70, 3506 (1993).
  7. J. A. Sidles, J. L. Garbini, K. J. Bruland, D. Rugar, O. Züger, S. Hoen, and C. S. Yannoni, Rev. Mod. Phys. 67, 249 (1995).
  8. J. A. Sidles, J. L. Garbini, and G. P. Drobny, Rev. Sci. Instrum. 63, 3881 (1992).
  9. J. Mertz, O. Marti, and J. Mlynek, Appl. Phys. Lett. 62, 2344 (1993).
  10. D. Rugar, H. J. Mamin, R. Erlandsson, J. E. Stern, and B. D. Terris, Rev. Sci. Instrum. 59, 2337 (1988).
  11. D. Rugar, H. J. Mamin, and P. Guethner, Appl. Phys. Lett. 55, 2588 (1989).
  12. K. J. Bruland, J. L. Garbini, W. M. Dougherty, and J. A. Sidles, J. Appl. Phys. 80, 1959 (1996).
  13. A. E. Bryson, and Y. C. Ho, Applied Optimal Control: Optimization, Estimation, and Control (Hemisphere, Washington, 1975), p. 408.
  14. B. Friedland, Control System Design: An Introduction to State-Space Methods (McGraw-Hill, New York, 1986), p. 337.
  15. H. Kwakernaak, and R. Sivan, Linear Optimal Control Systems (Wiley, New York, 1972).
  16. R. E. Kalman, and R. S. Bucy, Trans. ASME (J. Basic Eng.) 83, 96 (1961).
  17. P. D. Joseph and J. T. Tou, Trans. AIEE, Pt. II , 80, 193 (1960).
  18. S. Hoen, O. Züger, C. S. Yannoni, H. J. Mamin, K. Wago, and D. Rugar, in Technical Digest of the 1994 Solid State Sensor and Actuator Workshop, Hilton Head, SC, Transducers Research Foundation, Catalog No. 94TRF-0001, 1994, p. 209.

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.