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TECHNICAL BRIEFS

Jerk Limited Time Optimal Control of Flexible Structures

[+] Author and Article Information
Marco Muenchhof, Tarunraj Singh

Department of Mechanical and Aerospace Engineering, SUNY at Buffalo, Buffalo, NY 14260

J. Dyn. Sys., Meas., Control 125(1), 139-142 (Mar 10, 2003) (4 pages) doi:10.1115/1.1543552 History: Received April 01, 2001; Revised September 01, 2002; Online March 10, 2003
Copyright © 2003 by ASME
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References

Junkins, J. L., Rahman, Z., and Bang, H., 1990, “Near-Minimum Time Maneuvers of Flexible Vehicles: A Liapunov Control Law Design Method,” Mechanics and Control of Large Flexible Structures, AIAA Publication, Washington, DC.
Ballhaus, W. L., Rock, S. M., and Bryson, A. E., 1992, “Optimal Control of a Two-Link Flexible Robotic Manipulator Using Time-Varying Controller Gains,” Amer. Astronautics Soc. Paper No. 92-055.
Bhat,  S. P., and Miu,  D. K., 1991, “Minimum Power and Minimum Jerk Control and its Application in Computer Disk Drives,” IEEE Trans. Magn., 27(6), pp. 4471–4475.
Singhose, W. E., Porter, L. J., and Seering, W. P., 1997, “Input Shaped Control of a Planar Gantry Crane with Hoisting,” 1997 American Control Conf., Albuquerque, NM.
Smith, O. J. M., 1957, “Posicast Control of Damped Oscillatory Systems,” Proc. of IRE, pp. 1249–1255.
Singer,  N. C., and Seering,  W. P., 1990, “Preshaping Command Inputs to Reduce System Vibrations,” ASME J. Dyn. Syst., Meas., Control, 115, pp. 76–82.
Singh,  T., and Vadali,  S. R., 1993, “Robust Time-Delay Control,” ASME J. Dyn. Syst., Meas., Control, 115(2A), pp. 303–306.
Liu,  Q., and Wie,  B., 1992, “Robust Time-Optimal Control of Uncertain Flexible Spacecraft,” J. Guidance Control Dyn., 15(3), pp. 597–604.
Singh,  T., and Vadali,  S. R., 1994, “Robust Time-Optimal Control: Frequency Domain Approach,” J. Guidance Control Dyn., 17(2), pp. 346–353.
Hermes, H., and Lasalle, J. P., 1969, Functional Analysis and Time Optimal Control, Academic Press, New York, NY.

Figures

Grahic Jump Location
Control profile and system response for J=0.3
Grahic Jump Location
Trajectories of the switching times (J∊[0.11, 500])
Grahic Jump Location
Time delay filter structure

Tables

Errata

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