Controlling the Transition From Stable Resting to Tracking Control of an Unstable System

[+] Author and Article Information
Pai-Hsueh Yang

Nikon Research Corporation of America, 1399 Shoreway Road, Belmont, CA 94002 e-mail: phyang@nikonrca.com

David M. Auslander

Department of Mechanical Engineering, University of California, Berkeley, CA 94720 e-mail: dma@me.berkeley.edu

J. Dyn. Sys., Meas., Control 124(2), 303-307 (May 10, 2002) (5 pages) doi:10.1115/1.1468226 History: Received August 11, 1998; Online May 10, 2002
Copyright © 2002 by ASME
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Bellman,  R. E., and Zadeh,  L. A., 1970, “Decision-Making in a Fuzzy Environment,” Manage. Sci., 17, pp. B141–164.
Kuipers B., and Astrom K., 1991, “The Composition of Heterogeneous Control Laws,” Proceedings of the 1991 American Control Conference, pp. 630–636.
Zadeh,  L. A., 1995, “Outline of a New Approach to the Analysis of Complex Systems and Decision Processes,” IEEE Trans. Syst. Man Cybern., 15, pp. 28–44.
Yang, P. H., and D. M. Auslander, 1999, “Soft Tracking Control for Input Constrained Systems,” Proceedings of the 1999 American Control Conference, Vol. 4, p. 2496–2500.
Spong, M., 1995, “The Swingup Control Problem for the Acrobot,” IEEE Control Syst. Mag., Feb.
Yang,  P. H., Lemkin,  M., and Auslander,  D. M., 1997, “Using a Hydraulically Balanced Beam in Control Education,” ASME J. Dyn. Syst., Meas., Control, 119, Dec., pp. 815–819.
Auslander, D. M., Ridgely, J., and Jones, J., 1996, “Real Time Software for Implementation of Feedback Control,” W. S. Levine, ed., The Control Handbook, CRC Press, pp. 323–343.


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Schematic diagram of balance beam
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The change of system characteristics: (a) A stable and constrained system when resting on a hard stop (b) An open-loop unstable system when off its hard stop
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Fuzzy decision making for state transitions
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Control structure of balance beam system for stabilization and tracking
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Membership functions of position deviation x̃1
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State transition diagram of balance beam launching process
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Plots of position (x1), velocity (x2), water height (h), control (u), integral control (Intv), and process status (top to bottom) for the launching process control of balance beam




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