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Nonparametric algorithm for identification of weakly nonlinear static distributed-parameter systems

✍ Scribed by Ewaryst Rafajłowicz

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
419 KB
Volume
4
Category
Article
ISSN
0167-6911

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✦ Synopsis

An algorithm

for identification of a nonlinear characteristic in a static distributed-parameter system is proposed. The algorithm is nonparametric in the sense that only smooth requirements are imposed on the unknown characteristic and that the number of terms in its orthogonal series expansion is not fixed in advance, depending on the number of measurements (the idea borrowed from statistics). Computational simplicity of the algorithm is obtained by restricting its applications to the identification of only weakly nonlinear, static systems, which allows applying perturbation theory. It is shown that if the unknown characteristic in the system equation is replaced by its estimator, then the resulting state converges to the true system state in the mean square sense.

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