By Topic

Control spillover in dissipative evolution equations

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)
Hagen, G. ; Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA ; Mezic, I.

We consider the problem of global stabilization of a semilinear dissipative parabolic PDE by finite-dimensional control. The infinite-dimensional system is decomposed into a reduced order finite-dimensional system and a residual system. Coupling between the systems occurs through the nonlinear function and also through the actual controller; a phenomenon known as control spillover. Rather than decompose the original PDE into Fourier modes, we decompose the derivative of a control Lyapunov function. Upper bounds on the terms representing control spillover are obtained. An LQR design is used to stabilize the system with these upper bounds. Relations between system and LQR control design parameters are given to ensure global stability and robustness with respect to control spillover

Published in:

American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

Date of Conference:

2000