A New Method of Calculating the State Feedback Gain Vector of Vibration Control System

Article Preview

Abstract:

Using the random model, the vibration control problem of structures with uncertain parameters is discussed, which is approximated by a deterministic one. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the standard deviations for responses of the closed-loop systems with the uncertain parameters is presented by using the random perturbation. This method is applied to a vibration system to illustrate the application. The numerical results show that the present method is effective.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

424-427

Citation:

Online since:

November 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] B. Porter, R. Crossley. Modal Control Theory and Applications, Taylor & Francis, London, (1972).

Google Scholar

[2] Daniel J. Inman, Vibration with control, Measurement, and Stability, Prentice-Hall, New Jersey, (1989).

Google Scholar

[3] Y. D. Chen, S. H. Chen, Z. S. Liu., Modal optimal control procedure for near defective systems, Journal of Sound and vibration245(2001)113-132.

DOI: 10.1006/jsvi.2000.3481

Google Scholar

[4] Y. D. Chen, S. H. Chen, Z. S. Liu., Quantitative measures of modal controllability and observability for the defective and near defective systems, Journal of Sound and Vibration 248(2001)413-426.

DOI: 10.1006/jsvi.2000.3826

Google Scholar