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


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Identification of Distributed Parameter Systems Based on Wavelet Transform of Differential Operators
DOU Lei1WANG Zhi-quan2WANG Qin-you2
1.National Key Laboratory of Transient Physics,2.School of Automation,NUST,Nanjing 210094,China
distributed param eter system s identif ication differential operators w ave let transform
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.


[ 1] M ohan B M, Datta K B. Identification v ia Four ier Series fo r a class of lum ped and distributed pa ram e ter system s [ J]. IEEE T ransactions on C ircuits and System s, 1989, 36 ( 11): 1454- 1458. [ 2 ] 孙冬梅, 李永新, 卜雄洙. 一种使用正交函数的非 线性系统建模方法[ J]. 南京理工大学学报, 2004, 28( 6): 612- 616.
[ 3] Furuya T, Tayaoka A, SoedaM. Identification of tim e continuous system s by w ave let connection coeffic ients [ A ] . Proceedings of IEEE TENCON 2004 [ C ]. ChiangM a,i Tha iland: IEEE, 2004. 534- 537.
[ 4] H asiew icz Z, Paw lakM, S liw insk i P. Nonparame tric -i dentifica tion o f non linearities in block-oriented system s by orthogonalw avelets w ith com pact support [ J]. IEEE T ransactions on C ircu its and Systems I: Fundam enta l Theo ry and App lication, 2005, 52 ( 2): 427- 442.
[ 5] 王钦友, 朱筠. 基于H aar函数的分布参数系统辨识 [ J] . 信息与控制, 1998, 27( 5): 326- 330.
[ 6] 于衍宏, 丁虹. 小波分析在分布参数系统辨识中的应 用[ J]. 山东轻工业学院学报, 1999, 13( 3): 71- 75.
[ 7] Bey lkin G. On the representa tion o f operato rs in bases o f com pactly supported w av elets [ J]. SIAM Journa l on Num er ica lAna lysis, 1992, 29 ( 6): 1 716- 1 740.
[ 8] 吴勃英, 邓中兴. 热传导方程的小波解法[ J]. 应用 数学学报, 2001, 24( 1) : 10- 16.


Last Update: 2007-08-30