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

fYear

1993

fDate

17-20 Oct 1993

Firstpage

54

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICSMC.1993.390824

Filename

390824