By Topic

The computer-controlled stabilization of a noisy two-dimensional hyperbolic system

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Lang, J.H. ; Massachusetts Institute of Technology, Cambridge, MA, USA ; Staelin, D.

The computer-controlled stabilization of a noisy two-dimensional hyperbolic system is described. A meter-square flexible wire mesh, suspended vertically in tension by rigid boundaries, supported transverse deflections about a planar equilibrium which were destabilized by the application of a transverse electrostatic bias. The number of open-loop unstable deflection modes was adjustable with bias strength. Using information from up to nine electrostatic deflection sensors, a minicomputer manipulated nine electrostatic deflection actuators so as to stabilize the mesh. Linear-quadratic-Gaussian control laws, based upon a truncated normal mode system description and modified to include rate-limited deflection integration, were implemented throughout. Experiments are reported in which the open-loop system stability, the number and location of actuators and sensors used, and the computer sampling rate were variable. Three open-loop unstable modes were stabilized at an electrostatic bias pressure nearly three times that required to initially destabilize the mesh. The limits of this stability, regime and the resulting mesh surface tolerances were found to be consistent with theory. Spillover was experimentally observed to be a predictable cause of mesh deflection destabilization.

Published in:

Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 5 )