High-frequency nonlinear vibrational control

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. (1986) investigated nonlinear systems control...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 1997-01, Vol.42 (1), p.83-90
Main Authors: Shapiro, B., Zinn, B.T.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Exact sciences and technology
Feedback
Frequency
Jacobian matrices
Nonlinear control systems
Nonlinear systems
Open loop systems
Shape control
Vibration control
Vibration measurement
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. (1986) 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.553689