Reduced order modeling and robust controller design for a heat conduction problem

Author

Guha, Paramita ; Nabi, Mashuq Un

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol.- Delhi, New Delhi, India

fYear

2011

fDate

3-5 Nov. 2011

Firstpage

1

Lastpage

6

Abstract

This paper considers the problem of modeling of a two-dimensional problem of heating of a nontrivial geometry. The system is described by Partial Differential Equations and a large no. of Ordinary Differential Equations are obtained through Finite Element method. The ODE model is reduced using SVD-Krylov decomposition technique. Finally a robust controller is designed which transfers the temperatures from any initial profile to a desired one. Results of the numerical implementations are presented and possible further extensions are identified.

Keywords

control system synthesis; differential equations; finite element analysis; heat conduction; reduced order systems; robust control; singular value decomposition; SVD-Krylov decomposition technique; finite element method; heat conduction problem; nontrivial geometry; ordinary differential equations; partial differential equations; reduced order modeling; robust controller design; two-dimensional heating problem; Computational modeling; Finite element methods; Heating; Information processing; Mathematical model; Numerical models; Reduced order systems; Finite Element Models; Krylov; Partial differential equations; Reduced order modeling; SVD; SVD-Krylov method; ordinary differential equations; robust controller;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Information Processing (ICIIP), 2011 International Conference on

Conference_Location

Himachal Pradesh

Print_ISBN

978-1-61284-859-4

Type

conf

DOI

10.1109/ICIIP.2011.6108978

Filename

6108978