Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System

[+] Author and Article Information
An-Chen Lee, Song-Tsuen Chen

Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.

J. Vib. Acoust 116(2), 146-154 (Apr 01, 1994) (9 pages) doi:10.1115/1.2930405 History: Received July 01, 1992; Online June 17, 2008


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.

Copyright © 1994 by The American Society of Mechanical Engineers
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