High-Frequency Nonlinear Vibrational Control

Loading...
Thumbnail Image

Publication or External Link

Date

1997-01

Advisor

Citation

Shaprio, B. and B.T. Zinn. High Frequency Nonlinear Vibrational Control. IEEE Transactions on Automatic Control, vol42, no1, pg83-90, Jan 1997.

DRUM DOI

Abstract

This paper discusses the feasibility of high-frequency nonlinear vibrational control. Such control has the advantage that it does not require state measurement and processing capabilities that are required in conventional feedback control. Bellman et al. [1] investigated nonlinear systems controlled by linear vibrational controllers and proved that vibrational control is not feasible if the Jacobian matrix has a positive trace. This paper extends previous work to include nonlinear vibrational controllers. A stability criteria is derived for nonlinear systems with nonlinear controllers, and it is shown that a nonlinear vibrational controller can stabilize a system even if the Jacobian matrix has a positive trace.

Notes

Rights