Title :
On Order Reduction of Nonlinear Differential-Algebraic Process Models
Author :
L?¶ffler, H.P. ; Marquardt, W.
Author_Institution :
Institut f?ƒ??r Systemdynamik und Regelungstechnik, Universit?ƒ??t Stuttgart, Pfaffenwaldring 9, D-7000 Stuttgart, FRG
Abstract :
A method for order reduction of nonlinear differential-algebraic models of arbitrary index is presented. The approach is a direct generalization of a method suggested by Pallaske (1987) for the reduction of explicit differential equation models. A rigorous development as well as a theoretical and numerical evaluation of the reduction technique is provided. Strong emphasis is on implementational issues such as the choice of tuning parameters for a particular problem. The case studies discussed include the reduction of a strongly nonlinear catalytic fixed bed reactor model.
Keywords :
Chemical engineering; Control theory; Differential algebraic equations; Differential equations; Distributed parameter systems; Inductors; Large-scale systems; Nonlinear equations; Reduced order systems; State-space methods;
Conference_Titel :
American Control Conference, 1990