DocumentCode
185104
Title
Discrepancy-based control of a heat equation with quadratic nonlinearity
Author
Palis, Stefan ; Kienle, Andrea
Author_Institution
Otto-von-Guericke-Univ., Magdeburg, Germany
fYear
2014
fDate
4-6 June 2014
Firstpage
3359
Lastpage
3362
Abstract
This article deals with a new approach to stabilizing boundary control for nonlinear parabolic PDEs. The system under investigation is the quadratic heat equation. In order to stabilize this system in this contribution the use of a generalized distance measure, the discrepancy, is proposed. Applying, the associated stability theory, i.e. stability theory with respect to two discrepancies, a stabilizing control law can be derived.
Keywords
heat conduction; nonlinear differential equations; partial differential equations; boundary control stabilisation; discrepancy based control; generalized distance measure; heat equation; nonlinear parabolic PDE; partial differential equations; quadratic nonlinearity; stabilising control law; Asymptotic stability; Convergence; Distributed parameter systems; Equations; Heating; Mathematical model; Stability analysis; Distributed parameter systems; Output feedback; Output regulation;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2014
Conference_Location
Portland, OR
ISSN
0743-1619
Print_ISBN
978-1-4799-3272-6
Type
conf
DOI
10.1109/ACC.2014.6859467
Filename
6859467
Link To Document