This paper presents a new control design method for the control of flexible systems that not only guarantees closed-loop asymptotic stability but also effectively suppresses vibration. This method allows integrated determination of actuator/sensor locations and feedback gain via minimization of an energy criterion, which is chosen as the integrated total energy stored in the system. The energy criterion is determined via an efficient solution of the Lyapunov equation and minimized with a quasi-Newton or recursive quadratic programming algorithm. The prerequisite for this optimal design method is that the controlled system be asymptotically stable. This study shows that when the controller structure is a collocated direct velocity feedback design with positive definite feedback gain, the number and placement of actuators/sensors are the only factors needed to determine necessary and sufficient conditions for ensuring closed-loop asymptotic stability. The application of this method to a simple flexible structure confirms the direct relationship between our optimization criterion and effectiveness in vibration suppression.
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April 1994
Research Papers
Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System
An-Chen Lee,
An-Chen Lee
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
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Song-Tsuen Chen
Song-Tsuen Chen
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
Search for other works by this author on:
An-Chen Lee
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
Song-Tsuen Chen
Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.
J. Vib. Acoust. Apr 1994, 116(2): 146-154 (9 pages)
Published Online: April 1, 1994
Article history
Received:
July 1, 1992
Online:
June 17, 2008
Citation
Lee, A., and Chen, S. (April 1, 1994). "Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System." ASME. J. Vib. Acoust. April 1994; 116(2): 146–154. https://doi.org/10.1115/1.2930405
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