|Table of Contents|

Identification of Distributed Parameter Systems Based on Wavelet Transform of Differential Operators

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2007年04期
Page:
449-452
Research Field:
Publishing date:
2007-08-30

Info

Title:
Identification of Distributed Parameter Systems Based on Wavelet Transform of Differential Operators
Author(s):
DOU Lei1WANG Zhi-quan2WANG Qin-you2
1.National Key Laboratory of Transient Physics,2.School of Automation,NUST,Nanjing 210094,China
Keywords:
distributed param eter system s identif ication differential operators w ave let transform
PACS:
TP11
DOI:
-
Abstract:
B ased on the exact and explic it representations of differential operators in orthonormal bases of compactly supported w ave lets, th is paper presents an ident ification method for distributed parameter systems ( DPS) . Them atrix representations are obta ined by pro ject ing differential operators onto w ave let space. The proposed method translates DPS into lumped parameter systems. Ident ificat ion can bemade w ith the algorithm o f least square parameter estimat ion. The comp lex ity o f computation decreases because boundary cond itions and initial condit ions need little considerat ion. Numerical experiments are perform ed based on thew ave let o fDaubechies ( db1) and the results are accurate even w ith very low level ofw ave let decomposition.

References:

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Memo

Memo:
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Last Update: 2007-08-30