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Residual vibration reduction for a flexible structure using a modified input shaping technique

Published online by Cambridge University Press:  06 September 2002

Ki-Seong Lee
Affiliation:
Center For Noise and Vibration Control, Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305–701 (South Korea)
Youn-sik Park*
Affiliation:
Center For Noise and Vibration Control, Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305–701 (South Korea)

Summary

This paper presents a modified input shaping method to reduce the motion-induced vibration of a linear time-varying system after a rest-to-rest motion. Shaping parameters were obtained using the concept of modal-filtered impulse response. The conventional shaping method can be said just a special case of the proposed shaping method. The effectiveness of this proposing method was checked using some examples of both moderate and considerably fast time-varying systems. With a rest-to-rest motion control of a two-link flexible manipulator, this study also demonstrates that this method can be expanded to nonlinear cases.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2002

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References

1. Smith, O. J. M., “Feedback Control Systems,” (McGraw-Hill, New York, 1957).Google Scholar
2. Singer, N. C. and Seering, W. P., “Preshaping Command inputs to reduce system vibration,” ASME Journal of Dynamic Systems, Measurement, and Control 112, 7682 (1990).Google Scholar
3. Seth, N., Rattan, K. and Brandstetter, R., “Vibration Control of a Coordinate Measuring Machine,” IEEE Conf. on Control Apps., Dayton, OH (1993) pp. 368375.Google Scholar
4. Jones, S. D. and Ulsoy, A. G., “Control Input Shaping for Coordinate Measuring Machines,” American Control Conf. Baltimore, MD (1994) pp. 2899–2903.Google Scholar
5. Singhose, W., Singer, N. and Seering, W., “Improving Repeatability of Coordinate Measuring Machines with Shaped Command Signals,” Precision Engineering 138–146 (1996).Google Scholar
6. Feddema, J. T., “Digital Filter Control of Remotely Operated Flexible Robotic Structures,” American Control Conf. San Francisco, CA (1993) pp. 2710–2715.Google Scholar
7. Singer, N., Singhose, W. and Kriikku, E., “An Input Shaping Controller Enabling Cranes to Move Without Sway,” ANS 7th Topical Meeting on Robotics and Remote Systems, Augusta, GA (1997) Compact disc.CrossRefGoogle Scholar
8. Magee, D. P. and Book, W. J., “Filtering Micro-Manipulator Wrist Commands to Prevent Flexible Base Motion,” American Control Conf. Seattle, WA (1995) pp. 924–928.Google Scholar
9. Rappole, B. W., Singer, N. C. and Seering, W. P., “Multiple- Mode Impulse Shaping Sequences for Reducing Residual Vibrations,” 23rd Biennial Mechanisms Conference, Minneapolis, MN (1994) pp. 11–16.Google Scholar
10. Drapeau, V. and Wang, D., “Verification of a Closed-loop Shaped-input Controller for a Five-bar-linkage Manipulator,” Proc. of the IEEE International Conference on Robotics and Automation, Atlanta, GA (1993) Vol. 3, pp. 216–221.Google Scholar
11. Singhose, W. and Singer, N., “Initial Research on the Effects of Input Shaping on Trajectory Following,” IEEE Transactions on Robotics and Automation 12 No. 6, 881887 (1996).Google Scholar
12. Banerjee, A. K. and Singhose, W. E., “Command Shaping in Tracking Control of a Two-link Flexible Robot,” J. of Guidance, Control, and Dynamics 21, No. 6, 10121015 (1998).Google Scholar
13. Singhose, W. E., Seering, W. P. and Singer, N. C., “Residual Vibrations Using Vector Diagrams to Generated Shaped Inputs”, J. of Mechanical Design 654–659 (1994).Google Scholar
14. Singhose, W. E., Seering, W. P. and Singer, N. C., “Shaping Inputs to Reduce Vibration: A Vector Diagram Approach,” IEEE Int. Conf. on Robotics and Automation, Cincinnati, OH (1990) pp. 922–927.Google Scholar
15. Singhose, W. E., Seering, W. P. and Singer, N. C., “Time- Optimal Negative Input Shapers,” Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control 119, 198205 (1997).Google Scholar
16. Singhose, W. E., Porter, L. J., Tuttle, T. D. and Singer, N. C., “Vibration Reduction Using Multi-Hump Input Shapers,” Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control 119, 320326 (1997).Google Scholar
17. Murphy, B. R. and Watanabe, I., “Digital Shaping Filters for Reducing Machine Vibration,” IEEE Transactions on Robotics and Automation 8 No.2, 285289 (1992).CrossRefGoogle Scholar
18. Tuttle, T. D. and Seering, W. P., “A Zero-placement Technique for Designing Shaped Inputs to Suppress Multiple-Mode Vibration,” Proc. of the 1994 American Control Conf. (1994), Vol. 3, pp. 2533–2537.Google Scholar
19. Singh, T. and Vadali, S. R., “Robust Time-Optimal Control: A Frequency Domain Approach,” J. of Guidance, Control, and Dynamics 17 No. 2, 346353 (1994).Google Scholar
20. Hyde, J. M. and Seering, W. P., “Using Input Command Pre- Shaping to Suppress Multiple Mode Vibration,” Proc. of the IEEE International Conference on Robotics and Automation, Sacramento, CA (1991) pp. 2604–2609.Google Scholar
21. Singh, T. and Heppler, G. R., “Shaped Input Control of a System with Multiple Modes,” ASME Journal of Dynamic Systems, Measurement and Control (1993), Vol. 115, Iss. 3, pp. 341347.Google Scholar
22. Magee, D. P. and Book, W. J., “Experimental Verification of Modified Command Shaping Using a Flexible Manipulator,” 1st International Conference on Motion and Vibration Control, Yokohama (1992) pp. 553–558.Google Scholar
23. Rhim, S. and Book, W. J., “Adaptation of Generalized Timedelay Command Shaper for Flexible Manipulator Control,” Proc. of the 2000 IEEE International Conference on Robotics and Automation, San Francisco, CA (2000) pp. 1465–1471.Google Scholar
24. Pao, L. Y. and Singhose, W. E., “A Comparison of Constant and Variable Amplitude Command Shaping Techniques for Vibration Reduction,” Proc of the 4th IEEE,Conference on Control Applications (1995) pp. 875–881.Google Scholar
25. Cho, J.-K. and Park, Y.-S., “Vibration Reduction in Flexible Systems Using a Time-Varying Impulse Sequence,” Robotica 13, Part 3, 305313 (1995).Google Scholar
26. Chen, C.-T., Linear System Theory and Design (HRW New York, 1984).Google Scholar