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Volume 6 Issue 4
Jul.  2019

IEEE/CAA Journal of Automatica Sinica

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Hui Chen, Zhendong Sun, Weijie Sun and John Tze Wei Yeow, "Twisting Sliding Mode Control of an Electrostatic MEMS Micromirror for a Laser Scanning System," IEEE/CAA J. Autom. Sinica, vol. 6, no. 4, pp. 1060-1067, June 2019. doi: 10.1109/JAS.2016.7510223
Citation: Hui Chen, Zhendong Sun, Weijie Sun and John Tze Wei Yeow, "Twisting Sliding Mode Control of an Electrostatic MEMS Micromirror for a Laser Scanning System," IEEE/CAA J. Autom. Sinica, vol. 6, no. 4, pp. 1060-1067, June 2019. doi: 10.1109/JAS.2016.7510223

Twisting Sliding Mode Control of an Electrostatic MEMS Micromirror for a Laser Scanning System

doi: 10.1109/JAS.2016.7510223
Funds:

the National Natural Science Foundation of China 61374036

the National Natural Science Foundation of China 61703142

the National Natural Science Foundation of China U1504615

the Scientific Research Key Foundation of Higher Education Institutions of Henan Province 16A413001

More Information
  • In this paper, we present a twisting control scheme with proportional-integral-derivative (PID) sliding surface for a two-axis electrostatic torsional micromirror, and the utilization of the proposed scheme in a laser scanning system. The experimental results of set-point regulation verify that the proposed scheme provides enhanced transient response and positioning performance as compared to traditional sliding mode control. To evaluate the tracking performance of the closed-loop system, triangular waves with different frequencies are used as desired traces. With the proposed scheme the experimental results verified that the closed-loop controlled micromirror follows the given triangular trajectories precisely. A micromirror-based laser scanning system is developed to obtain images. When compared with open-loop control, the experimental results demonstrated that the proposed scheme is able to reduce the distortion of the raster scan, and improve the imaging performance in the presence of cross-coupling effect.

     

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  • [1]
    A. D. Yakcubjaya, H. U. Urey, D. Brown, T. Montague, and R. Sprague, "Two-axis electromagnetic microscanner for high resolution displays, " J. Microelectromech. Syst. , vol. 15, no. 4, pp. 786-794, Aug. 2006. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=1668174
    [2]
    P. B. Chu, S. S. Lee, and S. Park, "MEMS: the path to large optical crossconnects, " IEEE Commun. Mag. , vol. 40, no. 3, pp. 80-87, Mar. 2002. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=989762
    [3]
    A. D. Yalcinkaya, O. Ergeneman, and H. Urey, "Polymer magnetic scanners for bar code applications, " Sens. Actuators A: Phys. , vol. 135, no. 1, pp. 236-243, Mar. 2007.
    [4]
    J. T. W. Yeow, V. X. D. Yang, A. Chahwan, M. L. Gordon, B. Qi, I. A. Vitkin, B. C. Wison, and A. A. Goldenberg, "Micromachined 2-D scanner for 3-D optical coherence tomography, " Sens. Actuators A: Phys. , vol. 117, no. 2, pp. 331-340, Jan. 2005. http://www.sciencedirect.com/science/article/pii/S092442470400439X
    [5]
    Z. X. Xiao, W. Y. Peng, X. T. Wu, and K. R. Farmer, "Pull-in study for round double-gimbaled electrostatic torsion actuators, " J. Microelectromech. Syst. , vol. 12, no. 1, pp. 77-81, Jan. 2002. http://www.researchgate.net/publication/230977165_Pull-in_study_for_round_double-gimbaled_electrostatic_torsion_actuators
    [6]
    J. H. Chen, W. Weingartner, A. Azarov, and R. C. Giles, "Tilt-angle stabilization of electrostatically actuated micromechanical mirrors beyond the pull-in point, " J. Microelectromech. Syst. , vol. 13, no. 6, pp. 988-997, Dec. 2004. http://ieeexplore.ieee.org/document/1364058/
    [7]
    G. C. Zhu, M. Packirisamy, M. Hosseini, and Y. A. Peter, "Modelling and control of an electrostatically actuated torsional micromirror, " J. Micromech. Microeng. , vol. 16, no. 10, pp. 2044-2052, Aug. 2006. http://www.researchgate.net/publication/230751986_Modelling_and_control_of_an_electrostatically_actuated_torsional_micromirror
    [8]
    Y. Zhao, F. E. H. Tay, G. Y. Zhou, and F. S. Chau, "Fast and precise positioning of electrostatically actuated dual-axis micromirror by multi-loop digital control, " Sens. Actuators A: Phys. , vol. 132, no. 2, pp. 421- 428, Nov. 2006. http://www.sciencedirect.com/science/article/pii/S0924424706001567
    [9]
    T. Juneau, K. Unterkofler, T. Seliverstov, S. Zhang, and M. July, "Dual-axis optical mirror positioning using a nonlinear closed-loop controller, " in Proc. 12th Int. Conf. Solid-State Sensors, Actuators and Microsystems, Boston, MA, USA, 2003, pp. 560-563.
    [10]
    Y. J. Pan, Y. Ma, and S. Islam, "Electrostatic torsional micromirror: its active control and applications in optical network, " in Proc. IEEE Int. Conf. Automation Science and Engineering, Arlington, VA, USA, 2008, pp. 151-156.
    [11]
    Y. Ma, S. Islam, and Y. J. Pan, "Electrostatic torsional micromirror with enhanced tilting angle using active control methods, " IEEE/ASME Trans. Mechatron. , vol. 16, no. 6, pp. 994-1001, Dec. 2011. http://ieeexplore.ieee.org/document/5575426/
    [12]
    P. B. Chu, I. Brener, C. Pu, S. S. Lee, J. I. Dadap, S. Park, K. Bergman, N. H. Bonadeo, T. Chau, M. Chou, R. A. Doran, R. Gibson, R. Harel, J. J. Johnson, C. D. Lee, D. R. Peale, B. Tang, D. T. K. Tong, M. J. Tsai, Q. Wu, W. Zhong, E. L. Goldstein, L. Y. Lin, and J. A. Walker, "Design and nonlinear servo control of MEMS mirrors and their performance in a large port-count optical switch, " J. Microelectromech. Syst. , vol. 14, no. 2, pp. 261-273, Apr. 2005. http://ieeexplore.ieee.org/document/1416903/
    [13]
    C. G. Agudelo, M. Packirisamy, G. C. Zhu, and L. Saydy, "Nonlinear control of an electrostatic micromirror beyond pull-in with experimental validation, " J. Microelectromech. Syst. , vol. 18, no. 4, pp. 914-923, Aug. 2009. http://ieeexplore.ieee.org/document/5075656/
    [14]
    C. G. Agudelo, G. Zhu, M. Packirisamy, and L. Saydy, "Flatness-based control of an electrostatic torsional micro-mirror with voltage feedback, " in Proc. 50th IEEE Midwest Symp. Circuits and Systems, Montreal, Que., Canada, 2007, pp. 654-657.
    [15]
    C. G. Agudelo, G. Zhu, and L. Saydy, "Nonlinear closed-loop control of an electrostatic torsional micro-mirror by means of differential actuation, " in Proc. 50th IEEE Midwest Symp. Circuits and Systems, Montreal, Que., Canada, 2007, pp. 658-661.
    [16]
    W. Sun, J. T. W. Yeow, and Z. Sun, "Robust adaptive control of a one degree of freedom electrostatic microelectromechanical systems model with output-error-constrained tracking, " IET Control Theory Appl. , vol. 6, no. 1, pp. 111-119, Jan. 2012. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6111730
    [17]
    K. M. Liao, Y. C. Wang, C. H. Yeh, and R. S. Chen, "Closed-loop adaptive control for torsional micromirrors, " in Proc. Volume 5346, MOEMS and Miniaturized Systems IV, San Jose, California, USA, 2004, pp. 184-192.
    [18]
    N. Yazdi, H. Sane, T. D. Kudrle, and C. H. Mastrangelo, "Robust sliding-mode control of electrostatic torsional micromirrors beyond the pull-in limit, " in Proc. 12th Int. Conf. Solid-State Sensors, Actuators, and Microsystems, Boston, MA, USA, 2003, pp. 1450-1453.
    [19]
    H. S. Sane, N. Yazdi, and C. H. Mastrangelo, "Application of sliding mode control to electrostatically actuated two-axis gimbaled micromirrors, " in Proc. American Control Conf. , Denver, CO, USA, 2003, pp. 3726-3731.
    [20]
    H. S. Sane, N. Yazdi, and C. H. Mastrangelo, "Modified sliding mode control and its application to electrostatically controlled dual-axis micromirrors, " in Proc. American Control Conf. , Boston, MA, USA, 2004, pp. 1934-1939.
    [21]
    Y. Zhao, F. E. H. Tay, F. S. Chau, and G. Y. Zhou, "Stabilization of dual-axis micromirrors beyond the pull-in point by integral sliding mode control, " J. Micromech. Microeng. , vol. 16, no. 7, pp. 1242-1250, May 2006. http://www.researchgate.net/publication/230924674_Stabilization_of_dual-axis_micromirrors_beyond_the_pull-in_point_by_integral_sliding_mode_control
    [22]
    A. Levant, "Sliding order and sliding accuracy in sliding mode control, " Int. J. Control, vol. 58, no. 6, pp. 1247-1263, Dec. 1993. http://www.researchgate.net/publication/239064283_Sliding_order_and_sliding_accuracy_in_sliding_mode_control
    [23]
    G. Bartolini, A. Posano, E. Punta, and E. Usai, "A survey of applications of second-order sliding mode control to mechanical systems, " Int. J. Control, vol. 76, no. 9-10, pp. 875-892, Jun. 2003. http://www.researchgate.net/publication/245322082_A_survey_of_applications_of_second-order_sliding_mode_control_to_mechanical_systems
    [24]
    M. Rafiq, S. Rehman, F. Rehman, Q. R. Butt, and I. Awan, "A second order sliding mode control design of a switched reluctance motor using super twisting algorithm, " Simul. Model. Pract. Theory, vol. 25, pp. 106 -117, Jun. 2012. http://www.sciencedirect.com/science/article/pii/S1569190X12000342
    [25]
    J. X. Liu, S. Laghrouche, M. Harmouche, and M. Wack, "Adaptive-gain second-order sliding mode observer design for switching power converters, " Control Eng. Pract. , vol. 30, pp. 124-131, Sep. 2013. http://www.sciencedirect.com/science/article/pii/S0967066113001949
    [26]
    J. X. Liu, S. Laghrouche, and M. Wack, "Observer-based higher order sliding mode control of power factor in three-phase AC/DC converter for hybrid electric vehicle applications, " Int. J. Control, vol. 87, no. 6, pp. 1117-1130, Mar. 2014. http://www.researchgate.net/publication/236965796_Observer-Based_High_Order_Sliding_Mode_Control_of_Unity_Power_Factor_in_Three-Phase_ACDC_Converter_for_Hybrid_Electric_Vehicle_Applications
    [27]
    S. Laghrouche, J. X. Liu, F. S. Ahmed, M. Harmouche, and M. Wack, "Adaptive second-order sliding mode observer-based fault reconstruction for PEM fuel cell air-feed system, " IEEE Trans. Control Syst. Technol. , vol. 23, no. 3, pp. 1098-1109, May 2015. http://ieeexplore.ieee.org/document/6940225/
    [28]
    Y. H. Bai, J. T. W. Yeow, and B. C. Wilson, "Design, fabrication, and characteristics of a MEMS micromirror with sidewall electrodes, " J. Microelectromech. Syst. , vol. 19, no. 3, pp. 619-631, Jun. 2010. http://ieeexplore.ieee.org/document/5443718/
    [29]
    Y. H. Bai, J. T. W. Yeow, and B. C. Wilson, "A characteristic study of micromirror with sidewall electrodes, " Int. J. Optomechatroni. , vol. 1, no. 3, pp. 231-258, Sep. 2007. http://www.researchgate.net/publication/245327272_A_Characteristic_Study_of_Micromirror_with_Sidewall_Electrodes
    [30]
    Y. H. Bai, J. T. W. Yeow, P. Constantinou, S. Damaskinos, and B. C. Wilson, "A 2-D micromachined SOI MEMS mirror with sidewall electrodes for biomedical imaging, " IEEE/ASME Trans. Mechatron. , vol. 15, no. 4, pp. 501-510, Aug. 2010. http://ieeexplore.ieee.org/document/5508425/
    [31]
    H. Toshiyoshi, W. Piyawattanametha, C. T. Chan, and M. C. Wu, "Linearization of electrostatically actuated surface micromachined 2-D optical scanner, " J. Microelectromech. Syst. , vol. 10, no. 2, pp. 205-214, Jun. 2001. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=925744
    [32]
    A. Levant, "Principles of 2-sliding mode design, " Automatica, vol. 43, no. 4, pp. 576-586, Apr. 2007. http://www.sciencedirect.com/science/article/pii/S0005109806004432
    [33]
    A. Polyakov and A. Poznyak, "Lyapunov function design for finite-time convergence analysis of 'twisting' and 'super-twisting' second order sliding mode controllers, " in Proc. Int. Workshop on Variable Structure Systems, Antalya, Turkey, 2008, pp. 153-158.
    [34]
    A. Polyakov and A. Poznyak, "Lyapunov function design for finite-time convergence analysis: 'twisting' controller for second-order sliding mode realization, " Automatica, vol. 45, no. 2, pp. 444-448, Feb. 2009. http://www.sciencedirect.com/science/article/pii/S0005109808004494
    [35]
    R. Santiesteban, L. Fridman, and J. A. Moreno, "Finite-time convergence analysis for 'twisting' controller via a strict Lyapunov function, " in Proc. 11th Int. Workshop on Variable Structure Systems, Mexico City, Mexico, 2010, pp. 1-6.

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    Highlights

    • A twisting control scheme with Proportional-Integral-Derivative(PID) sliding surface for a two-axis electrostatic torsional micromirror is proposed.
    • A closed-loop controlled micromirror-based laser scanning system is developed.
    • The proposed scheme is able to reduce the distortion of the raster scan in the presence of cross-coupling effect.

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