An on-line identification and control algorithm is developed based on the properties of collocated sensing and actuation. The feedback control law consists of second-order compensators that achieve equivalent damping in both the filter dynamics and resonant structural dynamics, thus maximizing the damping in the structure and controller. Optimal design of the feedback compensator is obtained using a pole placement algorithm applied to a single, undamped resonant mode. Numerical analysis indicates that multiple modes and structural damping do not appreciably change the damping achieved using the optimal parameters. The pole placement analysis demonstrates that only the pole-zero spacing and DC gain of the collocated transfer function are required to choose the optimal parameters. An on-line identification procedure is developed that sequentially determines the DC gain and pole-zero spacing and automatically designs the feedback compensator. This forms the basis for the autonomous control algorithm. Experimental results on a flexible beam demonstrate that the procedure can accurately identify the pole-zero spacing and automatically design the feedback compensator. A fivefold increase in damping is achieved in the first mode and a twofold increase in damping is achieved in the second mode. Discrepancies between predicted and measured damping are attributed to phase lags due to signal conditioning and low-pass filtering of the sensor signal.
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October 2001
Technical Papers
Autonomous Vibration Suppression Using On-Line Pole-Zero Identification
Mark McEver, Research Assistant,
Mark McEver, Research Assistant
Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
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Donald J. Leo, Assistant Professor
e-mail: donleo@vt.edu
Donald J. Leo, Assistant Professor
Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
Search for other works by this author on:
Mark McEver, Research Assistant
Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
Donald J. Leo, Assistant Professor
Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061
e-mail: donleo@vt.edu
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 2000; revised February 2001. Associate Editor: R. L. Clark.
J. Vib. Acoust. Oct 2001, 123(4): 487-495 (9 pages)
Published Online: February 1, 2001
Article history
Received:
January 1, 2000
Revised:
February 1, 2001
Citation
McEver, M., and Leo, D. J. (February 1, 2001). "Autonomous Vibration Suppression Using On-Line Pole-Zero Identification ." ASME. J. Vib. Acoust. October 2001; 123(4): 487–495. https://doi.org/10.1115/1.1385836
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