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TECHNICAL PAPERS

Autonomous Vibration Suppression Using On-Line Pole-Zero Identification

[+] Author and Article Information
Mark McEver, Donald J. Leo

Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Vib. Acoust 123(4), 487-495 (Feb 01, 2001) (9 pages) doi:10.1115/1.1385836 History: Received January 01, 2000; Revised February 01, 2001
Copyright © 2001 by ASME
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References

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Leo, D. J., 1995, “Convex Controller Design for Linear Mechanical Systems,” Ph.D. thesis, University at Buffalo.
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Goh,  C., and Caughey,  T., 1985, “On the Stability Problem caused by Finite Actuator Dynamics in the Collocated Control of Large Space Structures,” Int. J. Control, 41, pp. 787–802.
Fanson,  J., and Caughey,  T., 1990, “Positive Position Feedback Control for Large Space Structures,” AIAA J., 28, pp. 717–724.
Baz,  A., Poh,  S., and Fedor,  J., 1992, “Independent Modal Space Control With Positive Position Feedback,” ASME J. Dyn. Syst., Meas., Control, 114, pp. 96–103.
Leo,  D. J., and Inman,  D. J., 1993, “Modeling and Control Simulations of a Slewing Frame Containing Active Members,” Smart Mater. Struct., 2, pp. 82–95.
Dosch,  J., Leo,  D. J., and Inman,  D. J., 1995, “Modeling and Control for Vibration Suppression of a Flexible Active Structure,” J. Guid. Control Dyn., 18, pp. 340–346.
Juang,  J.-N., and Phan,  M., 1992, “Robust Controller Design for Second-Order Dynamic Systems: A Virtual Passive Approach,” J. Guid. Control Dyn., 15, pp. 1192–1198.
Leo,  D. J., and Inman,  D. J., 1999, “A Quadratic Programming Approach to Active-Passive Vibration Isolation,” J. Sound Vib., 220, pp. 807–825.
Hassibi,  A., How,  J., and Boyd,  S., 1999, “Low-Authority Controller Design by Means of Convex Optimization,” J. Guid. Control Dyn., 22, pp. 862–872.
Inman, D. J., 1994, Engineering Vibration, Prentice-Hall, Englewood Cliffs.
Dosch,  J., Inman,  D. J., and Garcia,  E., 1992, “A Self-Sensing Piezoelectric Actuator for Collocated Control,” Journal of Intelligent Material Systems and Structures, 3, pp. 166–185.
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Inman, D. J., 1989, Vibration with Control, Measurement, and Stability, Prentice-Hall, Englewood Cliffs.

Figures

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Block diagram of controlled structure using Positive Position Feedback
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Optimal location of closed-loop poles
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(a) Closed-loop damping ratio difference between undamped and damped mode versus modal damping; (b) first mode closed-loop damping ratio difference between the single mode case and the two mode case
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Effect of phase delays on the closed-loop damping for two values of gain margin
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Signal conditioning procedure for the pole/zero identification algorithm
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Schematic of the autonomous control experiment
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(a) Collocated frequency response (b) output of the on-line identification algorithm for the first test case

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