This paper considers the problem of identifying the parameters and initial conditions of systems described by linear dtjierential equations with time-varying coefficients. A new approach is proposed which is based on the idea of using orthogonal functions to represent the input-output data, as well
Linear time-invariant distributed parameter system identification via orthogonal functions
โ Scribed by B.M. Mohan; K.B. Datta
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 318 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
This paper points out the mathematical inconsistencies traced in the literature on the identification problem of linear time-invariant distributed parameter systems via orthogonal functions, and proposes for the same problem a unified identification approach based on the concept of one shot operational matrix for repeated integration. It presents identifiability requirements for the block-pulse functions approach while suggesting a linear independence test for the full column rank of linear algebraic system arising out of the system model upon the application of orthogonal functions.
Finally, it illustrates system identification with a numerical example.
๐ SIMILAR VOLUMES
## 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