Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Recent Extensions in the Computation of Optimal Simplified Models for Systems with Time Delays
Authors

Femi Taiwo
Organization: Obafemi Awolowo University
Department: Chemical Engineering Department
Emem Effanga
Organization: Obafemi Awolowo University
Department: Chemical Engineering Department
Segun Odusanya
Organization: Obafemi Awolowo University
Department: Chemical Engineering Department
Conference

1999 International Mathematica Symposium
Description

The earlier optimal method 1,2 for the simplification of single variable systems having ordinary polynomial denominators has been extended to the multivariable case encompassing situations where the original or simplified model may have delays in their states. The performance index used for optimization is the integral of the time-weighted squared error between the responses of the original and simplified models. The performance index is first expressed in terms of the simplified model unknown parameters and a minimization of this index gives the simplified model optimal parameters. The results of this work find additional application in obtaining the closed-form expressions of the error squared integral between the reference input and output response for certain closed-loop systems involving plants with time delays.
Subject

*Engineering > Control Theory
Keywords

Model simplification, Multivariable time delayed systems
URL

http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html