Control of thermal system through finite element based state-space model

Author

Srinivasan, Arvind ; Batur, Celal ; Rosenthal, Bruce

Author_Institution

Dept. of Mech. Eng., Akron Univ., OH, USA

Volume

3

fYear

1994

fDate

29 June-1 July 1994

Firstpage

2655

Abstract

State-space model of an axi-symmetric heat conduction energy equation is obtained by lumping the partial differential equation using the finite-element approximation. Boundary conditions (BC) such as convection BC, isothermal BC and insulation BC are parameterized and the free parameters are included in the input vector. The state-space model is used to design controllers to shape transient dynamics and track constant reference.

Keywords

boundary-value problems; control system synthesis; finite element analysis; heat conduction; state-space methods; thermal variables control; axi-symmetric heat conduction energy equation; control design; convection boundary conditions; finite element based state-space model; finite-element approximation; insulation boundary conditions; isothermal boundary conditions; partial differential equation; shape transient dynamics; state-space model; thermal system control; track constant reference; Boundary conditions; Conducting materials; Control system synthesis; Finite difference methods; Finite element methods; Geometry; Insulation; Partial differential equations; Shape control; Temperature distribution;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.735041

Filename

735041