Frequency domain identification of non-integer order dynamical systems

Journal of Southeast University (English Edition)

Volumn 23, Issue 1, 2007, Pages 47-50

  Li, Yuanlu ^a   Yu, Shenglin ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Generalized Levy method; Non integer order dynamical system; Non integer order system identification; Weighted iteration method

Indexed keywords

ALGORITHMS; CURVE FITTING; FREQUENCY RESPONSE; IDENTIFICATION (CONTROL SYSTEMS); ITERATIVE METHODS;

FREQUENCY DOMAIN IDENTIFICATION; GENERALIZED LEVY METHOD; LEVY IDENTIFICATION METHOD; MATRIX RECIPROCAL CONDITION NUMBER (RCOND); NONINTEGER ORDER DYNAMICAL SYSTEM; NONINTEGER ORDER SYSTEM IDENTIFICATION; SYSTEM FREQUENCY RESPONSE; WEIGHTED ITERATION METHOD;

DYNAMICAL SYSTEMS;

EID: 34248651829     PISSN: 10037985     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Ljung L. System identification: theory for the user[M]. Sweden: Prentice Hall, 1987: 168-194.
2. Pintelon R, Guillaume P, Rolain Y. Parametric identification of transfer functions in the frequency domain: A survey[J]. IEEE Trans on Automatic Control, 1994, 39(11): 2245-2259.
3. Battaglia J L, Lay L L, Batsale J C, et al. Heat flow estimation through inverted non integer identification models[J]. International Journal of Thermal Science, 2000, 39(3): 374-389.
4. Darling R, Newman J. On the short behavior of porous intercalation electrodes[J]. J Electrochem Soc, 1997, 144(9): 3057-3063.
5. Poinot T, Trigeassou J C. Identification of fractional systems using an output-error technique[J]. Nonlinear Dynam, 2004, 38(13): 133-154.
6. Metzler R, Nonnenmacher T F. Fractional diffusion: exact representations of spectral functions[J]. J Phys A: Math Gen, 1997, 30(4): 1089-1093.
7. Metzler R, Schick W G, Kilian H G, et al. Relaxation in filled polymers: a fractional calculus approach[J]. J Chem Phys, 1995, 103(16): 7180-7186.
8. Schiessel H, Metzler R, Blumen A, et al. Generalized viscoelastic models: their fractional equations with solutions[J]. J Phys A: Math Gen, 1995, 28(23): 6567-6584.
9. Wang Zhenbin, Cao Guangyi, Zhu Xinjian. Identification algorithm for a kind of fractional order system[J]. Journal of Southeast University: English Edition, 2004, 20(3): 297-302.
10. Hartley T T, Lorenzo F C. Fractional system identification: an application using continuous order-distribution[J]. Signal Processing, 2003, 83(11): 2287-2300.
11. Dorcak L, Lesko V, Kostial I. Identification of fractional-order dynamical systems[EB/OL]. (2002-04-15)[2006-03-10]. http://arxiv.org/abs/math/0204187.
12. Levy E. Complex curve fitting[J]. IRE Transactions on Automatic Control, 1959, 4(3): 37-43.