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Parameter identification of a class of time-varying systems via orthogonal shifted legendre polynomials

โœ Scribed by Chyi Hwang; Tong-Yi Guo

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
526 KB
Volume
318
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A method of using orthogonal shifted Legendre polynomials for identifying the parameters of a process whose behaviour can be modelled by a linear di$erential equation with time-varying coeficients in the form ofjinite-order polynomials is presented. It is based on the repeated integration of the dlxerential equation and the representations

of rO s(z) dz = Ps(t) and b(t) = Rs(t), where P and R are constant matrices and s(t) is a shifted Legendre vector whose elements are shifted Legendre polynomials. The differential input-output equation is converted into a set of overdetermined linear algebraic equationsfor a least squares solution. The results of simulation studies are included to illustrate the applicability of the method.

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