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TECHNICAL PAPERS

Closed-Loop Input Shaping for Flexible Structures Using Time-Delay Control

[+] Author and Article Information
Vikram Kapila, Anthony Tzes, Qiguo Yan

Department of Mechanical, Aerospace, and Manufacturing Engineering, Polytechnic University, Brooklyn, NY 11201

J. Dyn. Sys., Meas., Control 122(3), 454-460 (Dec 01, 1999) (7 pages) doi:10.1115/1.1286269 History: Received April 05, 1999; Revised December 01, 1999
Copyright © 2000 by ASME
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References

Tzes,  A., and Yurkovich,  S., 1993, “An Adaptive Input Shaping Control Scheme for Vibration Suppression in Slewing Flexible Structure,” IEEE Trans. Control Syst. Technol.,1, pp. 114–121.
Bodson,  M., 1998, “An Adaptive Algorithm for the Tuning of Two Input Shaping Methods,” Automatica, 34, pp. 771–776.
Magee, D. P., Cannon, D. W., and Book, W. J., 1997, “Combined Command Shaping and Inertial Damping for Flexure Control,” Proc. Am. Control. Conf., pp. 1330–1334, Albuquerque, NM.
Pao,  L. Y., and Lau,  M. A., 1999, “Expected Residual Vibration of Traditional and Hybrid Input Shaping Designs,” J. Guid. Control Dyn., 22, pp. 162–165.
Singer,  N. C., and Seering,  W. P., 1990, “Preshaping Command Inputs to Reduce System Vibration,” ASME J. Dyn. Syst., Meas., Control, 112, pp. 76–82.
Singhose,  W. E., Derezinski,  S., and Singer,  N. C., 1996, “Extra-Insensitive Input Shaper for Controlling Flexible Spacecraft,” J. Guid. Control Dyn., 19, pp. 385–391.
Singhose,  W. E., Porter,  L. J., Tuttle,  T. D., and Singer,  N. C., 1997, “Vibration Reduction using Multi-Hump Input Shapers,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 320–326.
Swigert,  C. J., 1980, “Shaped Torque Techniques,” J. Guid. Control, 3, pp. 460–467.
Tallman,  G. H., and Smith,  G. H., 1958, “Analog study of Dead-Beat Posicast Control,” IEEE Trans. Autom. Control, 3, pp. 14–21.
Singh,  T., and Vadali,  S. R., 1993, “Robust Time Delay Control,” ASME J. Dyn. Syst., Meas., Control, 115, pp. 303–306.
Tzes, A., and Yurkovich, S., 1989, “Adaptive Precompensators for Flexible Link Manipulator Control,” Proc. IEEE Conf. Dec. Control., pp. 2083–2088, Tampa, FL.
Dugard, L., and Verriest, E. I., 1997, Stability and Control of Time-Delay Systems, Springer-Verlag, New York, NY.
Haddad, W. M., Kapila, V., and Abdallah, C. T., 1997, “Stabilization of Linear and Nonlinear Systems with Time Delay,” Proc. Amer. Contr. Conf., pp. 3220–3225, Albuquerque, NM; see also, Stability and Control of Time-Delay Systems, Dugard L., and Verriest, E., eds., pp. 205–217.
Kapila,  V., Haddad,  W. M., and Grivas,  A. D., 1999, “Stabilization of Linear Systems with Simultaneous State, Actuation, and Measurement Delays,” Int. J. Control, 72, pp. 1619–1629.
Kim,  J. H., Jeung,  E. T., and Park,  H. B., 1996, “Robust Control for Parameter Uncertain Delay Systems in State and Control Input,” Automatica, 32, pp. 1337–1339.
Moheimani, S. O. R., and Petersen, I. R., 1995, “Optimal Quadratic Guaranteed Cost Control of a Class of Uncertain Time-Delay Systems,” Proc. IEEE Conf. Dec. Control., pp. 1513–1518, New Orleans, LA.
Mori,  T., Noldus,  E., and Kuwahara,  M., 1983, “A Way to Stabilize Linear Systems with Delayed State,” Automatica, 19, pp. 571–573.
Niculescu, S.-I., de Souza, C. E., Dion, J. M., and Dugard, L., 1994, “Robust Stability and Stabilization of Uncertain Linear Systems with State Delay: Single Delay Case (I),” Proc. IFAC Workshop Robust Control. Design, pp. 469–474, Rio de Janeiro, Brazil.
Niculescu, S.-I., Fu, M., and Li, H., 1997, “Stability of Linear Systems with Input Delay: An LMI Approach,” Proc. IEEE Conf. Dec. Control., pp. 1623–1628, San Diego, CA.
Shen,  J. C., Chen,  B. S., and Kung,  F. C., 1991, “Memoryless Stabilization of Uncertain Dynamic Delay Systems: Riccati Equation Approach,” IEEE Trans. Autom. Control, 36, pp. 638–640.
Verriest,  E. I., and Ivanov,  A. F., 1994, “Robust Stability of Systems with Delayed Feedback,” Circuits Syst. Signal Process., 13, pp. 213–222.
Meirovitch, L., 1980, Computational Methods in Structural Dynamics, Sijthoff and Noordhoff Int. Publ., Rockville, MD.
Bhat,  K. P. M., and Koivo,  H. N., 1976, “Modal Characterizations of Controllability and Observability in Time Delay Systems,” IEEE Trans. Automat. Control., 21, pp. 292–293.
Boyd, S., El-Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, PA.
Dorato, P., Abdallah, C., and Cerone, V., 1995, Linear-Quadratic Control: An Introduction, Prentice-Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Closed-loop system with input shaper
Grahic Jump Location
Response with exact cancellation
Grahic Jump Location
Response with inaccurate impulse application instance
Grahic Jump Location
Closed-loop response with inaccurate impulse application instance: LQR design
Grahic Jump Location
Closed-loop response with inaccurate impulse application instance
Grahic Jump Location
Response with exact cancellation
Grahic Jump Location
Response with inaccurate impulse application instance

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