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

被引：15
|
作者：
Sadabadi, Mahdiye Sadat [1 ]
Shafiee, Masoud [1 ]
Karrari, Mehdi [1 ]
机构：
[1] Amir Kabir Univ Technol, Dept Elect Engn, Tehran 15914, Iran
来源：
ISA TRANSACTIONS | 2008年 / 47卷 / 03期
关键词：
two-dimensional continuous-time linear differential systems; parameter identification; two-dimensional Fourier modulating functions; sine-cosine wavelet; two-dimensional fast Fourier transform (FFT) algorithm;
D O I：
10.1016/j.isatra.2008.02.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2008, ISA. Published by Elsevier Ltd. All rights reserved.
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页码：256 / 266
页数：11
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