Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems Conference Paper

abstract

• The Galerkin method is presented as a way to develop finite-dimensional controllers for linear distributed parameter systems (DPS). The direct approach approximates the open-loop DPS and then generates the controller from this approximation; the indirect approach approximates the infinite-dimensional stabilizing controller. The indirect approach is shown to converge to the stable closed-loop system consisting of DPS and infinite-dimensional controller; conditions are presented on the behavior of the Galerkin method for the open loop DPS which guarantee closed-loop stability for large enough finite-dimensional approximations.

name of conference

• The 23rd IEEE Conference on Decision and Control

authors

• Balas, Mark

published proceedings

• The 23rd IEEE Conference on Decision and Control

author list (cited authors)

• Balas, M. J.

citation count

• 2

complete list of authors

• Balas, Mark J

publication date

• December 1984

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

keywords

• Control Systems
• Distributed Control
• Distributed Parameter Systems
• Hafnium

Digital Object Identifier (DOI)

• 10.1109/cdc.1984.272298

start page

• 1457

end page

• 1465

URL

• http://dx.doi.org/10.1109/cdc.1984.272298