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Cheap Computation of Optimal Reduced-order Models for
Systems with time delay using Mathematica
Author(s): O. Taiwo
A simple method of optimally reducing the order of systems with time delays is proposed.
The performance indices used for optimization are the integral of the weighted squared
error between the responses of the reduced-order and original models.
indices are first expressed in terms of the reduced order system unknown parameters and a
minimization of these indices gives the reduced model optimal parameters.
accurate computation of optimal reduced order models with time delay has so far proved
abortive as closed-form expressions for these indices have proved difficult to obtain.
work shows how Mathematica facilitates both the expression of the performance indices
in closed-form and the symbolic computation of moments.
The approximation of a hi...
Pages: 8 Size: 854 kb Paper DOI: 10.2495/IMS970581
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