System identification of two-dimensional continuous-time systems using wavelets as modulating functions

ISA Transactions
Mahdiye Sadat SadabadiMehdi Karrari

Abstract

In this paper, parameter identification of two-dimensional continuous-time systems via two-dimensional modulating functions is proposed. In the proposed method, trigonometric functions and sine-cosine wavelets are used as modulating functions. By this, a partial differential equation on the finite-time intervals is converted into an algebraic equation linear in parameters. The parameters of the system can then be estimated using the least square algorithms. The underlying computations utilize a two-dimensional fast Fourier transform algorithm, without the need for estimating the unknown initial or boundary conditions, at the beginning of each finite-time interval. Numerical simulations are presented to show the effectiveness of the proposed algorithm.

References

Aug 19, 2000·Haemophilia : the Official Journal of the World Federation of Hemophilia·R Ljung
Aug 27, 2005·IEEE Transactions on Neural Networks·Stephen A Billings, Hua-Liang Wei

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Citations

May 12, 2009·ISA Transactions·Mahdiye Sadat SadabadiMehdi Karrari

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