Finite dimensional modeling and control of distributed parameter systems

Author

Zheng, D. ; Hoo, K.A. ; Piovoso, M.J.

Author_Institution

Dept. of Chem. Eng., Texas Tech. Univ., Lubbock, TX, USA

Volume

6

fYear

2002

fDate

2002

Firstpage

4377

Abstract

Developing low-order models of high fidelity is important if the objective is an accurate control of the distributed parameter system (DPS). This work presents a novel method to develop a low-order models when there is no available exact model of the system. The foundations for this method, SVD-KL, are singular value decomposition (SVD) theory and the Karhunen-Love (KL) expansion. It is shown that satisfactory closed-loop performance of the nonlinear DPS can be obtained using a dynamic matrix controller designed using the finite order model.

Keywords

closed loop systems; distributed parameter systems; feedback; identification; nonlinear systems; reduced order systems; singular value decomposition; Karhunen-Loeve expansion; closed-loop systems; distributed parameter systems; dynamic matrix controller; feedback; finite order model; identification; nonlinear systems; reduced order model; singular value decomposition; Chemical engineering; Distributed control; Distributed parameter systems; Inductors; Matrix decomposition; Nonlinear control systems; Nonlinear dynamical systems; Robust stability; Singular value decomposition; Temperature sensors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1025335

Filename

1025335