Parametric Control of Conservative Mechanical Systems

[+] Author and Article Information
C. D. Rahn

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634

C. D. Mote

Department of Mechanical Engineering, Vice Chancellor—University Relations, University of California, Berkeley, Berkeley, CA 94720

J. Dyn. Sys., Meas., Control 118(2), 309-314 (Jun 01, 1996) (6 pages) doi:10.1115/1.2802319 History: Received January 15, 1992; Online December 03, 2007


Parametric excitation is used to control the vibration of a conservative mechanical system. The excitation is varied according to a quadratic, state feedback, control law. If the system has distinct eigenvalues and a full rank, diagonalizable, parametric control matrix, then the control law is asymptotically stabilizing. To eliminate the required full state sensing, an observer is designed to estimate the states from the minimum number of linear measurements. There always exists an observer if the system is linearly observable and the control is bounded. An example demonstrates the method.

Copyright © 1996 by The American Society of Mechanical Engineers
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