Title :
Control or a nonlinear thermal system via internal areas
Author :
El Bagdouri, M. ; Bouslous, H. ; Channa, R. ; Doubabi, S.
Author_Institution :
Fac. des Sci. Semlalia, Lab. d´´Autom. et D´´Etude des Procedes, Marrakech, Morocco
Abstract :
In this paper we are concerned with the problem of controlling the state evolution of a thermal system where the control variables are in internal areas of the system domain. The system is governed by the nonlinear heat equation which is approximated numerically by means of a finite element method of first order in space and an implicit scheme in time. The descretized state equation is solved by the Newton method and the descretized control problem by the descent method. Numerical results are given in simulation for a simple example
Keywords :
Newton method; finite element analysis; heat systems; nonlinear equations; nonlinear systems; thermal variables control; Newton method; descent method; descretized state equation; finite element method; nonlinear heat equation; nonlinear thermal system; state evolution; system domain; Control systems; Finite element methods; Hilbert space; Integral equations; Matrices; Nonlinear control systems; Polynomials; Temperature control; Thermal variables control; Transforms;
Conference_Titel :
Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
Conference_Location :
Le Touquet
Print_ISBN :
0-7803-0911-1
DOI :
10.1109/ICSMC.1993.390824
