Analysis and control of micro-cantilever in dynamic mode AFM

International Journal of Advanced Manufacturing Technology

Volumn 50, Issue 9-12, 2010, Pages 979-990

  Korayem, Moharam Habibnejad ^a   Zafari, S ^a   Amanati, A ^a   Damircheli, M ^a   Ebrahimi, N ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

AFM; Dynamics; Lennard Jones; Micro cantilever; Sliding mode

Indexed keywords

A-STABILITY; AFM; CANTILEVER TIP; DYNAMIC BEHAVIORS; DYNAMIC MODE AFM; FORCE INPUT; LENNARD JONES; LENNARD-JONES POTENTIAL; MICRO-CANTILEVERS; NONLINEAR BEHAVIOR; OPERATIONAL MODES; PHASE PORTRAIT; PID CONTROLLERS; POSITION ACCURACY; SAMPLE SURFACE; SAMPLE SYSTEM; SINGLE-MODE APPROXIMATION; SLIDING MODE CONTROLLER; SLIDING MODES; SYSTEM OUTPUT;

CONTROLLERS; NANOCANTILEVERS;

ATOMIC FORCE MICROSCOPY;

EID: 77957860279     PISSN: 02683768     EISSN: 14333015     Source Type: Journal    
DOI: 10.1007/s00170-010-2588-4     Document Type: Article

References (28)

1. G Binnig CF Quate C Gerber 1986 Atomic force microscope Phys Rev Lett 56 9 930 933 10.1103/PhysRevLett.56.930
2. T Junno SB Carlsson H Xu L Montelius L Samuelson 1998 Fabrication of quantum devices byangstrom-level manipulation of nanoparticles with an atomic force microscope Appl Phys Lett 72 5 548 10.1063/1.120754 (Pubitemid 128671236)
3. E Margeat C Le Grimellec CA Royer 1998 Visualization of trp repressor and its complexes with DNA by atomic force microscopy Biophys J 75 2712 2720 10.1016/S0006-3495(98)77715-X
4. M Ashhab MV Salapaka M Dahleh I Mezic 1999 Dynamical analysis and control of microcantilevers Automatica 35 10 1663 1670 0941.93044 10.1016/S0005- 1098(99)00077-1
5. M Basso L Giarre M Dahle I Mezic 2000 Complex Dynamics in a harmonically excited Lennard-Jones oscillator: Microcantilever-sample interaction in scanning probe microscopes J Dyn Syst Meas Control 122 240 245 10.1115/1.482465
6. NA Burnham AJ Kulik G Gremaud GAD Briggs 1995 Nanosubharmonics: The dynamics of small nonlinear contacts Phys Rev Lett 74 5059 5092 10.1103/PhysRevLett.74.5092
7. N Jalili K Laxminarayana 2004 Review of atomic force microscopy imaging systems: application to molecular metrology and biological sciences Mechatronics 14 907 994 10.1016/j.mechatronics.2004.04.005
8. Israelachvili JN (1985) Intermolecular and Surface Forces. Academic, Boston
9. Jalili N, Dadfarnia M, Dawson DM (2003) Distributed-parameters based modeling and vibration analysis of micro-cantilevers used in atomic force microscopy. Proc 19th ASME Biennial Conf. MEch. Vib. Noise, Symp. Dyn. Vibration Robotic Syst. Chicago, Illinois.
10. Slotine E, Li W (1991) Applied nonlinear control. Prentice-Hall, New York
11. Zafari S (2008) Nonlinear dynamic modeling of micro-cantilever in tapping mode AFM, MSc Thesis, IUST
12. M Salapaka T De A Sebastian 2005 A robust control based solution to the sample-profile estimation problem in fast atomic force microscopy Int J Robust Nonlinear Control 15 821 837 1090.93035 10.1002/rnc.1026 2175006 (Pubitemid 41560634)
13. Oates WS, Smith RC (2005) Nonlinear control design for a piezoelectric-driven nanopositioning stage. Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University
14. Jalili N, Dawson DM, Feemster MG, Fang Y (2002) Nonlinear control technique for the atomic force microscope system. Proc ASME Int Mech Eng Congress & Exposition
15. JD Adams L Manning B Rogers M Jones SC Minne 2005 Self-sensing tapping mode atomic force microscopy Sens Actuators 121 262 266 10.1016/j.sna.2004.12. 030 (Pubitemid 40940808)
16. JP Aime R Boisgard G Couturier 2002 Stability analysis of an oscillating tip-cantilever system in NC-AFM Appl Surf Sci 188 341 348 10.1016/S0169-4332(01) 00948-5 (Pubitemid 34551753)
17. FJ Giessibl S Hembacher M Herz CH Schiller J Mannhart 2004 Stability considerations and implementation of cantilevers allowing dynamic force microscopy with optimal resolution: the qPlus sensor Nanotechnology 15 S79 S86 10.1088/0957-4484/15/2/017
18. Hatch AG, Smith R.C, De T. Model Development and Control Design for High Speed Atomic Force Microscopy. Technical Report #2004-3, March 2004.
19. Barabás R, Gyurkó Z, Puklus Z (2001) Real-time simulation of an atomic force microscope cantilever. Department of Automation, Budapest University of Technology and Economy, Budapest
20. RM El K Youcef-Toumi 2007 On automating atomic force microscopes: an adaptive control approach Control Eng Pract 15 349 361 10.1016/j.conengprac. 2005.10.006 (Pubitemid 44817577)
21. A Sinah 2005 Nonlinear dynamic of atomic force microscope with PI feedback J Sound Vib 288 387 394 10.1016/j.jsv.2005.03.026 (Pubitemid 41260595)
22. G Schitter P Menold HF Knapp F Allgower A Stemmer 2001 High performance feedback for fast scanning atomic force microscopes Rev Sci Instrum 72 8 3320 3327 10.1063/1.1387253
23. FJ Rubio-sierra RW Stark S Thalhammer WM Heckl 2003 Force-feedback joystick as a low-cost haptic interface for an atomic-force-microscopy nanomanipulator Appl Phys A 76 903 906 10.1007/s00339-002-1973-8
24. JL Hutter J Bechhoefer 1993 Calibration of atomic-force microscope tips Rev Sci Instrum 64 7 1868 1873 10.1063/1.1143970
25. M Ashhab MV Salapaka M Dahleh I Mezić 1999 Melnikov-based dynamical analysis of micro cantilevers in scanning probe microscopy Nonlinear Dynamics 20 197 220 0964.74041 10.1023/A:1008342408448 1725890 (Pubitemid 30509174)
26. Wiggins S (1990) Introduction to applied nonlinear dynamical systems and chaos. Springer, Heidelberg
27. B Gotsmann C Seidel B Anczykowski H Fuchs 1999 Conservative and dissipative tip-sample interaction forces probed with dynamic AFM Phys Rev B 60 15 11051 11061 10.1103/PhysRevB.60.11051
28. Khalil HK (2002) Nonlinear systems. Prentice-Hall, Englewood Cliffs