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Article

Discrete Sliding-Mode Tracking Control of High-Displacement Piezoelectric Actuator Systems

[+] Author and Article Information
Chih-Lyang Hwang

Dept. of Mechanical Engineering, Tatung University, 40 Chungshan North Road, Section 3, Taipei, 10451 Taiwan, R.O.C.

Yung-Ming Chen

J. Dyn. Sys., Meas., Control 126(4), 721-731 (Mar 11, 2005) (11 pages) doi:10.1115/1.1849244 History: Revised January 06, 2004; Online March 11, 2005
Copyright © 2004 by ASME
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References

Palazzolo,  A. B., Jagannathan,  S., Kascak,  A. F., Montague,  G. T., and Kiraly,  L. J., 1993, “Hybrid Active Vibration Control of Rotor Bearing Systems Using Piezoelectric Actuators,” ASME J. Vibr. Acoust., 115, pp. 111–119.
Li,  C. J., Beigi,  H. S. M., Li,  S., and Liang,  J., 1993, “Nonlinear Piezo-Actuator Control by Learning Self-Tuning Regulator,” ASME J. Dyn. Syst., Meas., Control, 115, pp. 720–723.
Jung,  S. B., and Kim,  S. W., 1994, “Improvement of Scanning Accuracy of PZT Piezoelectric Actuator by Feed-Forward Model-Reference Control,” Precis. Eng., 16(1), pp. 49–55.
Pota,  H. R., and Alberts,  T. E., 1995, “Multivariable Transfer Functions for a Slewing Piezoelectric Laminate Beam,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 352–359.
Yang,  S. M., and Liu,  Y. C., 1995, “Frequency Domain Control of Flexible Beams With Piezoelectric Actuator,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 541–546.
Cuttino,  J. F., Miller,  A. C., and Schinstock,  D. E., 1999, “Performance Optimization of a Fast Tool Servo for Single-Point Diamond Turning Machines,” IEEE/ASME Trans. Mechatronics,4(2), pp. 169–179.
Choi,  S. B., Kim,  H. K., Lim,  S. C., and Park,  Y. P., 2001, “Position Tracking Control of an Optical Pick-up Device Using Piezoelectric Actuator,” Int. J. Mechatronics,11, pp. 691–701.
Oboe,  R., Beghi,  A., Capretta,  P., and Soldavini,  F. C., 2002, “A Simulation and Control Design Environment for Single-Stage and Dual-Stage Hard Disk Drives,” IEEE/ASME Trans. Mechatronics,7(2), pp. 161–170.
Halim,  D., and Moheimani,  S. O. R., 2002, “Spatial H2 Control of a Piezoelectric Laminate Beam: Experimental Implementation,” IEEE Trans. Control Syst. Technol., 10(4), pp. 533–546.
Robbins,  W. P., Polla,  D. L., and Glumac,  D. E., 1991, “High-Displacement Piezoelectric Actuator Utilizing a Meander-Line Geometry—Part I: Experimental Characterization,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 38(5), pp. 454–460.
Robbins,  W. P., 1991, “High-Displacement Piezoelectric Actuator Utilizing a Meander-Line Geometry—Part II: Theory,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 38(5), pp. 461–467.
Ge,  P., and Jouaneh,  M., 1996, “Tracking Control of a Piezoceramic Actuator,” IEEE Trans. Control Syst. Technol., 4(3), pp. 209–216.
Chen,  B. M., Lee,  T. H., Hang,  C. C., Guo,  Y., and Weerasooriya,  S., 1999, “An H Almost Disturbance Decoupling Robust Controller Design for a Piezoelectric Bimorph Actuator With Hysteresis,” IEEE Trans. Control Syst. Technol., 7(2), pp. 160–174.
Ȧström, K. J., and Wittenmark, B., 1997, Computer-Controlled Systems—Theory and Design, Prentice-Hall Inc., 3rd ed., Englewood Cliffs, NJ.
Economou,  D., Mavroidis,  C., Antoniadis,  I., and Lee,  C., 2002, “Maximally Robust Input Preconditioning for Residual Vibration Suppression Using Low-Pass FIR Digital Filters,” ASME J. Dyn. Syst., Meas., Control, 124, pp. 85–97.
Gutierrez,  H. M., and Ro,  P. I., 1998, “Sliding-Mode Control of a Nonlinear-Input System: Application to a Magnetically Levitated Fast-Tool Servo,” IEEE Trans. Ind. Electron., 45(6), pp. 921–927.
Young,  K. D., Utkin,  V. I., and Özgüner,  Ü., 1999, “A Control Engineer’s Guide to Sliding Mode Control,” IEEE Trans. Control Syst. Technol., 7(3), pp. 328–342.
Furuta,  K., and Pan,  Y., 2000, “Variable Structure Control With Sliding Sector,” IFAC, J. Automatica,36(3), pp. 211–228.
Su,  W. C., and Tsai,  C. C., 2001, “Discrete-Time VSS Temperature Control for a Plastic Extrusion Process With Water Cooling Systems,” IEEE Trans. Control Syst. Technol., 9(4), pp. 618–623.
Hwang,  C. L., 2002, “Robust Discrete Variable Structure Control With Finite-Time Approach to Switching Surface,” IFAC, J. Automatica,38(1), pp. 167–175.
Goodwin, G. C., and Sin, K. S., 1984, Adaptive Filtering Prediction and Control, Prentice-Hall, Englewood Cliffs, NJ.
Vidyasagar, M., 1985, Control System Synthesis—A Factorization Approach, MIT Press, Cambridge, MA.
Francis, B. A., 1987, A Course inHControl Theory. Lecture Notes in Control and Information Sciences, Springer-Verlag Berlin, Heidelberg.
Hwang,  C. L., and Chen,  B. S., 1988, “Adaptive Control of Optimal Model Matching in H-Norm Space,” IEE Proc.-D: Control Theory Appl., 135(4), 295–301.

Figures

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The experimental setup (a) Photography (b) Block diagram
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A typical output response of the MLBA using a proportional control
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The output responses of the HDPAS (-) for various inputs um sin(2πft) μm (⋯)  
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Hysteretic characteristic
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The output response of HDPAS by the PID control (–) for the reference input 80 sin(40πt) μm (⋯): (a) Ki=10,Kd=0.00008,Kp=1.0 (---), Kp=3.4 (−); (b) Ki=10,Kd=0.00008,Kp=3.5 (−)
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Equivalent control block diagram of Fig. 6
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The filtered output responses of the mathematical model (-) and the HDPAS (⋯) for the inputs u(t)=um sin(2πft) μm
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The (filtered) output response of HDPAS by only the equivalent control for the reference input r(t)=80 sin(40πt) μm
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The response of HDPAS by the proposed control for the reference input r(t)=80 sin(40πt) μm (⋯)
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The output responses of HDPAS by the proposed control (-) for different reference inputs r(t)=rm sin(2πft) μm (⋯)
Grahic Jump Location
The output responses of HDPAS by the proposed control for the reference input r(t)=60 sin(30πt)+40 sin(40πt) μm

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