Title :
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
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;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1025335
