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TECHNICAL PAPERS

Design and Simulation of Robust and Adaptive Controls for a Nonlinear String System

[+] Author and Article Information
Weiwei Jin

Corning Cable Systems LLC, 9275 Denton Highway, Keller, Texas 76248e-mail: weiwei.jin@corning.com

Zhihua Qu

School of Electrical Engineering and Computer Science, College of Engineering and Computer Science, University of Central Florida, Orlando, FL 32816e-mail: qu@pegasus.cc.ucf.edu

Kuo-Chi Lin

Department of Mechanical, Materials and Aerospace Engineering, College of Engineering and Computer Science, University of Central Florida, Orlando, FL 32816e-mail: klin@ist.ucf.edu

J. Vib. Acoust 126(1), 54-62 (Feb 26, 2004) (9 pages) doi:10.1115/1.1640353 History: Received June 01, 2001; Revised March 01, 2003; Online February 26, 2004
Copyright © 2004 by ASME
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References

Qu, Z., 2000, “Robust and Adaptive Boundary Control of a Stretched String,” Proceedings of American Control Conference, June, pp. 1478–1482.
Zhang, F., Dawson, D. M., Nagarkatti, S. P., and Haste, D. V., 1998, “Boundary Control for a General Class of Nonlinear Actuator-String System,” Proceedings of IEEE Conference on Decision and Control, December, pp. 3484–3489.
Canbolat,  H., Dawson,  D. M., Rahn,  C., and Nagarkatti,  S., 1998, “Adaptive Control of Out-of-Plane Cable Vibration,” ASME J. Appl. Mech., 65(12), pp. 963–969.
Canbolat, H., Dawson, D. M., Nagarkatti, S. P., and Costic, B., 1998, “Boundary Control for a General Class of String Models,” Proceedings of American Control Conference, July, pp. 3472–3476.
Shahruz, S. M., 1997, “Suppression of Vibration in Stretched Strings by the Boundary Control,” Proceedings of IEEE Conference on Decision and Control, December, pp. 535–536.
Shahruz, S. M., 1997, “Suppression of Vibration in Nonlinear Axially Moving String by the Boundary Control,” Proceedings of American Control Conference, June, pp. 3242–3243.
Fung,  R., and Tseng,  C., 1999, “Boundary Control of an Axially Moving String via Lyapunov Method,” ASME J. Dyn. Syst., Meas., Control, 121(2), pp. 105–110.
Meirovitch, L., 1967, Analytical Methods in Vibrations, The Macmillan Company, New York, NY.
Jin, W., Qu, Z., and Serra, R., 2001, “Nonlinear Simulation of a String System Under Boundary Robust Control,” 2001 IEEE Conference on Control Applications and 2001 IEEE International Symposium on Intelligent Control, CCA-1071, Mexico City, Mexico, September.
Qu, Z., 1998, Robust Control of Nonlinear Uncertain Systems, Wiley Interscience, New York, NY.

Figures

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A stretched string on a moving transporter
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The open-loop velocity at point x=0
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The open-loop velocity point x=0.5l
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The open-loop velocity at point x=l
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The signal flow graph for robust control where γ̇≜dγ(t)/dt
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The closed-loop velocity at point x=0 under robust control
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The closed-loop velocity at point x=0.5l under robust control
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The closed-loop velocity at point x=l under robust control
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The signal flow graph for robust adaptive control
Grahic Jump Location
The closed-loop velocity at point x=0 under robust adaptive control
Grahic Jump Location
The closed-loop velocity at point x=0.5l under robust adaptive control
Grahic Jump Location
The closed-loop velocity at point x=l under robust adaptive control

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