Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: nonparametric methods

Sortuj według:

Ogranicz wyniki do:

Nonparametric instrumental variables for identification of block-oriented systems

100%

Mzyk G.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 3

521-537

A combined, parametric-nonparametric identification algorithm for a special case of NARMAX systems is proposed. The parameters of individual blocks are aggregated in one matrix (including mixed products of parameters). The matrix is estimated by an instrumental variables technique with the instruments generated by a nonparametric kernel method. Finally, the result is decomposed to obtain parameters of the system elements. The consistency of the proposed estimate is proved and the rate of convergence is analyzed. Also, the form of optimal instrumental variables is established and the method of their approximate generation is proposed. The idea of nonparametric generation of instrumental variables guarantees that the I.V. estimate is well defined, improves the behaviour of the least-squares method and allows reducing the estimation error. The method is simple in implementation and robust to the correlated noise.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Mzyk G.

1 2013

Wyniki wyszukiwania

Nonparametric instrumental variables for identification of block-oriented systems