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Reduction of phase error between sinusoidal motions and vibration of a tube scanner during spiral scanning using an AFM

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  • Control Theory and Applications
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Abstract

The design of a phase-locked loop (PLL)-based proportional integral (PI) controller for compensating the phase error between motions from the lateral axes of a piezoelectric tube scanner (PTS) during spiral scanning for an atomic force microscope (AFM) is proposed in this paper. Spiral motion of the PTS for scanning of material surfaces or biological samples using an AFM is achieved by applying two sinusoidal signals with a 90 degree phase-shift and of varying amplitudes to the X and Y-axes of the scanner. The phase error between the X and Y-axes positions and scanner’s vibration due to its mechanical properties increase with increasing scanning speeds which reduce the imaging performance of the AFM at high frequencies. In the proposed control scheme, a vibration compensator is used with the X and Y-PTS to damp the vibration of the PTS at its resonant frequency and the phase error between the displacements of the two lateral axes of the scanner is measured by a phase detector and a PI controller is used to reduce the error. Comparisons of experimental results for reference tracking and imaging performance with the AFM PI controller demonstrate the efficiency of the proposed control method.

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Authors and Affiliations

  1. School of Engineering and IT, The University of New South Wales, PO Box 7916, Canberra BC, ACT 2610, Australia

    Habibullah, Hemanshu Pota & Ian R. Petersen

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  1. Habibullah
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  2. Hemanshu Pota
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  3. Ian R. Petersen
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Correspondence to Habibullah.

Additional information

Recommended by Associate Editor Won-jong Kim under the direction of Editor Euntai Kim. The authors would like to thank Mr. Shane Brandon for his help in the experimental work.

Habibullah was born in Joypurhat, Bangladesh. He received the B.Sc. degree in mechanical engineering from Rajshahi University of Engineering and Technology (RUET), Bangladesh, in 2010, the M.Eng. degree, and the PhD degree (Thesis is under examination) in Mechanical engineering from the University of New South Wales (UNSW), Canberra, Australia in 2013 and 2016. He is currently working as a Research Associate with the Mechatronics Research Laboratory at UNSW, Canberra, Australia. His research interests are in the joint areas of control theory and application, nanotechnology, mechatronics, bio-mechatronics, bio-mechanics, and vibration control of smart structures. Mr. Habibullah is a member of the Asian Control Association (ACA). He has been awarded University Gold Medal for his excellent performance during his undergraduate study. He has also received several prestigious scholarships, high-impact publications awards, and travel grants during his Master and Ph.D. candidature at UNSW.

Hemanshu Pota received the B.E. degree from SVRCET, Surat, India, in 1979, the M.E. degree from the IISc, Bangalore, India, in 1981 and the Ph.D. degree from the University of Newcastle, NSW, Australia, in 1985, all in electrical engineering. He is currently an Associate Professor at the University of New South Wales, Canberra, Australia. He has held visiting appointments at the University of Delaware; Iowa State University; Kansas State University; Old Dominion University; the University of California, San Diego; and the Centre for AI and Robotics, Bangalore. He has a continuing interest in the area of power system dynamics and control, and modelling & control of mechanical systems such as flexible structures, acoustical systems, and UAVs.

Ian R. Petersen was born in Victoria, Australia. He received a Ph.D. in Electrical Engineering in 1984 from the University of Rochester. From 1983 to 1985 he was a Postdoctoral Fellow at the Australian National University. In 1985 he joined the University of New SouthWales, Canberra, Australia where he is currently Scientia Professor and an Australian Research Council Laureate Fellow in the School of Engineering and Information Technology. He has served as an Associate Editor for the IEEE Transactions on Automatic Control, Systems and Control Letters, Automatica, and SIAM Journal on Control and Optimization. Currently he is an Editor for Automatica. He was made a Fellow of the IEEE in 1999 and a Fellow of the Australian Academy of Science in 2011. His main research interests are in robust control theory, quantum control theory and stochastic control theory.

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Habibullah, Pota, H. & Petersen, I.R. Reduction of phase error between sinusoidal motions and vibration of a tube scanner during spiral scanning using an AFM. Int. J. Control Autom. Syst. 14, 505–513 (2016). https://doi.org/10.1007/s12555-014-0527-0

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  • DOI: https://doi.org/10.1007/s12555-014-0527-0

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