Control of nonlinear distributed parameter systems using generalized invariants

Authors
Palazoglu, A Karakas, A
Citation
A. Palazoglu et A. Karakas, Control of nonlinear distributed parameter systems using generalized invariants, AUTOMATICA, 36(5), 2000, pp. 697-703
Citations number
28
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
36
Issue
5
Year of publication
2000
Pages
697 - 703
Database
ISI
SICI code
0005-1098(200005)36:5<697:CONDPS>2.0.ZU;2-D
Abstract
A framework is presented to facilitate the formulation of control strategie s for nonlinear DPS. The key contribution is the generalized quantitative e xpression of the stability condition for any nonlinear DPS. The methodology derives from the use of symmetry groups that determine the group-invariant solutions of a differential system. An invariance condition in the prolong ed space of the differential system provides the framework for the distribu ted control law. (C) 2000 Elsevier Science Ltd. All rights reserved.