Title :
Discrepancy-based control of a heat equation with quadratic nonlinearity
Author :
Palis, Stefan ; Kienle, Andrea
Author_Institution :
Otto-von-Guericke-Univ., Magdeburg, Germany
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;
Conference_Titel :
American Control Conference (ACC), 2014
Conference_Location :
Portland, OR
Print_ISBN :
978-1-4799-3272-6
DOI :
10.1109/ACC.2014.6859467
