An Active Control Design for a Class of Parametrically Excited Systems Based on the Gradient Algorithm

[+] Author and Article Information
Min-Shin Chen, Ren-Jay Fu

Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, R.O.C

J. Vib. Acoust 120(3), 727-732 (Jul 01, 1998) (6 pages) doi:10.1115/1.2893890 History: Received December 01, 1995; Revised July 01, 1996; Online February 26, 2008


This paper introduces a new control design for a dynamic system subject to stationary or nonstationary parametric excitations. In this new design, the system dynamics is transformed into one with a null system matrix using the variation of parameters method. A stabilizing state feedback control can then be immediately obtained by following the gradient algorithm that is originally developed for the parameter identification purpose. Such a design has the advantage that the control requires only past and present information of the time-varying parametric excitations while previous control designs usually require prediction of future information of the excitations. The closed-loop system stability is guaranteed if the open-loop state response does not diverge too fast. The control design approach can also be applied to the observer design in case where there is only partial observation of the system state.

Copyright © 1998 by The American Society of Mechanical Engineers
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