Title :
A control law for a nonlinear heat conduction problem on nontrivial domains using FEM
Author :
Nabi, Mashuq Un ; Guha, Paramita
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol.- Delhi, New Delhi, India
Abstract :
A modeling and control strategy is presented for a nonlinear problem of heating a domain of nontrivial geometry from an arbitrary initial to another arbitrary desired temperature profile. A large dynamic model of the nonlinear heat equation is obtained through finite element (FE), which is reduced using proper orthogonal decomposition. Finally, a nonlinear control law is proposed for the control problem and its stability proved through Lyapunov analysis. Results of numerical implementation are presented and possible extensions identified.
Keywords :
Lyapunov methods; finite element analysis; nonlinear control systems; FEM; Lyapunov analysis; dynamic model; finite element method; nonlinear control law; nonlinear heat conduction; nonlinear heat equation; nontrivial geometry; orthogonal decomposition; stability; temperature profile; Automatic control; Finite element methods; Geometry; Heat engines; Nonlinear equations; Reduced order systems; Resistance heating; Shape control; Sparse matrices; Temperature control;
Conference_Titel :
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-4684-1
Electronic_ISBN :
978-1-4244-4685-8
DOI :
10.1109/MED.2009.5164560
