Identification of input nonlinear control autoregressive systems using fractional signal processing approach

The Scientific World Journal

Volumn 2013, Issue , 2013, Pages

  Chaudhary, Naveed Ishtiaq ^a   Raja, Muhammad Asif Zahoor ^b   Khan, Junaid Ali ^b   Aslam, Muhammad Saeed ^c  

^a INTERNATIONAL ISLAMIC UNIVERSITY   (Pakistan)

^b Attock Campus   (Pakistan)

^c PAKISTAN INSTITUTE OF ENGINEERING AND APPLIED SCIENCES   (Pakistan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; FRACTIONAL SIGNAL PROCESSING; KERNEL METHOD; NONLINEAR CONTROL AUTOREGRESSIVE MODEL; NONLINEAR SYSTEM; PROCESS DESIGN; SIGNAL NOISE RATIO; SIGNAL PROCESSING; COMPUTER SIMULATION; FEEDBACK SYSTEM; REGRESSION ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; MODELS, STATISTICAL; NONLINEAR DYNAMICS; REGRESSION ANALYSIS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 84880320130     PISSN: None     EISSN: 1537744X     Source Type: Journal    
DOI: 10.1155/2013/467276     Document Type: Article

References (49)

1. Zakerzadeh M. R., Firouzi M., Sayyaadi H., Shouraki S. B., Hysteresis nonlinearity identification using new Preisach model-based artificial neural network approach. Journal of Applied Mathematics 2011 2011 22 2-s2.0-79959233502 10.1155/2011/458768 458768
2. Li X. X., Guo H. Z., Wan S. M., Yang F., Inverse source identification by the modified regularization method on poisson equation. Journal of Applied Mathematics 2012 2012 13 2-s2.0-84856501573 10.1155/2012/971952 971952
3. Shi Y., Fang H., Kalman filter-based identification for systems with randomly missing measurements in a network environment. International Journal of Control 2010 83 3 538 551 2-s2.0-77951141155 10.1080/00207170903273987
4. Liu Y., Sheng J., Ding R., Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems. Computers and Mathematics with Applications 2010 59 8 2615 2627 2-s2.0-77950187988 10.1016/j.camwa.2010.01.030
5. Ding F., Liu G., Liu X. P., Parameter estimation with scarce measurements. Automatica 2011 47 8 1646 1655 2-s2.0-79960912040 10.1016/j.automatica.2011.05.007
6. Ding J., Ding F., Liu X. P., Liu G., Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data. IEEE Transactions on Automatic Control 2011 56 11 2677 2683 2-s2.0-80455150117 10.1109/TAC.2011.2158137
7. Liu Y., Xiao Y., Zhao X., Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model. Applied Mathematics and Computation 2009 215 4 1477 1483 2-s2.0-74149086591 10.1016/j.amc.2009.07.012
8. Ding J., Ding F., The residual based extended least squares identification method for dual-rate systems. Computers and Mathematics with Applications 2008 56 6 1479 1487 2-s2.0-46849098008 10.1016/j.camwa.2008.02.047
9. Han L., Ding F., Identification for multirate multi-input systems using the multi-innovation identification theory. Computers and Mathematics with Applications 2009 57 9 1438 1449 2-s2.0-63049125735 10.1016/j.camwa.2009.01.005
10. Ding F., Shi Y., Chen T., Gradient-based identification methods for hammerstein nonlinear ARMAX models. Nonlinear Dynamics 2006 45 1-2 31 43 2-s2.0-33745915835 10.1007/s11071-005-1850-z
11. Ding F., Chen T., Iwai Z., Adaptive digital control of Hammerstein nonlinear systems with limited output sampling. SIAM Journal on Control and Optimization 2007 45 6 2257 2276 2-s2.0-36448956116 10.1137/05062620X
12. Ding F., Chen T., Identification of Hammerstein nonlinear ARMAX systems. Automatica 2005 41 9 1479 1489 2-s2.0-22344449915 10.1016/j.automatica.2005.03. 026
13. Hunter I. W., Korenberg M. J., The identification of nonlinear biological systems: wiener and Hammerstein cascade models. Biological Cybernetics 1986 55 2-3 135 144 2-s2.0-0022960073 10.1007/BF00341929
14. Cao Y. Y., Lin Z., Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Transactions on Fuzzy Systems 2003 11 1 57 67 2-s2.0-0037331810 10.1109/TFUZZ.2002.806317
15. Fruzzetti K. P., Palazolu A., McDonald K. A., Nonlinear model predictive control using Hammerstein models. Journal of Process Control 1997 7 1 31 41 2-s2.0-0031076883
16. Dupont S., Luettin J., Audio-visual speech modeling for continuous speech recognition. IEEE Transactions on Multimedia 2000 2 3 141 151 2-s2.0-0034270644 10.1109/6046.865479
17. Karimi-Ghartemani M., Iravani M. R., A nonlinear adaptive filter for online signal analysis in power systems: applications. IEEE Transactions on Power Delivery 2002 17 2 617 622 2-s2.0-0036529545 10.1109/61.997949
18. Ding F., Chen T., Identification of Hammerstein nonlinear ARMAX systems. Automatica 2005 41 9 1479 1489 2-s2.0-22344449915 10.1016/j.automatica.2005.03. 026
19. Ding F., Shi Y., Chen T., Auxiliary model-based least-squares identification methods for Hammerstein output-error systems. Systems and Control Letters 2007 56 5 373 380 2-s2.0-33947233313 10.1016/j.sysconle.2006.10.026
20. Mandelbrot B. B., Van Ness J. W., Fractional Brownian motions, fractional noises and applications. SIAM Review 1968 10 4 422 437
21. Gaul L., Klein P., Kemple S., Damping description involving fractional operators. Mechanical Systems and Signal Processing 1991 5 2 81 88 2-s2.0-44949282247
22. Sabatier J., Aoun M., Oustaloup A., Grégoire G., Ragot F., Roy P., Fractional system identification for lead acid battery state of charge estimation. Signal Processing 2006 86 10 2645 2657 2-s2.0-33745698038 10.1016/j.sigpro.2006.02.030
23. Ortigueira M. D., Tenreiro Machado J. A., da Costa J. S., Which differintegration? [fractional calculus]. IEE Proceedings: Vision Image and Signal Processing 2005 152 6 846 850 10.1049/ip-vis:20045049
24. Valério D., Ortigueira M. D., Sá da Costa J., Identifying a transfer function from a frequency response. ASME Journal of Computational and Nonlinear Dynamics 2008 3 2 7 10.1115/1.2833906 021207
25. Ortigueira M. D., Introduction to fractional linear systems. Part 1: continuous-time case. IEE Proceedings: Vision, Image and Signal Processing 2000 147 1 62 70 2-s2.0-0033872505 10.1049/ip-vis:20000272
26. Ortigueira M. D., Introduction to fractional linear systems. Part 2: discrete-time case. IEE Proceedings: Vision, Image and Signal Processing 2000 147 1 71 78 2-s2.0-0033899008 10.1049/ip-vis:20000273
27. Ortigueira M. D., Tenreiro Machado J. A., Fractional signal processing and applications. Signal Processing 2003 83 11 2285 2286 2-s2.0-0141892682 10.1016/S0165-1684(03)00181-6
28. Ortigueira M. D., Machado J. A. T., Fractional calculus applications in signals and systems. Signal Processing 2006 86 10 2503 2504 2-s2.0-33745967716 10.1016/j.sigpro.2006.02.001
29. Cuesta E., Kirane M., Malik S. A., Image structure preserving denoising using generalized fractional time integrals. Signal Processing 2012 92 2 553 563 2-s2.0-80054759335 10.1016/j.sigpro.2011.09.001
30. Tseng C. C., Lee S. L., Design of adjustable fractional order differentiator using expansion of ideal frequency response. Signal Processing 2012 92 2 498 508 2-s2.0-80054751971 10.1016/j.sigpro.2011.08.015
31. Fan W., Ding F., Shi Y., Parameter estimation for Hammerstein nonlinear controlled auto-regression models. Proceedings of the IEEE International Conference on Automation and Logistics (ICAL '07) August 2007 1007 1012 2-s2.0-40649107437 10.1109/ICAL.2007.4338714
32. Weili X., Fan W., Ding R., Least-squares parameter estimation algorithm for a class of input nonlinear systems. Journal of Applied Mathematics 2012 2012 14 10.1155/2012/684074 684074
33. Zahoor R. M. A., Qureshi I. M., A modified least mean square algorithm using fractional derivative and its application to system identification. European Journal of Scientific Research 2009 35 1 14 21 2-s2.0-70349280469
34. Geravanchizadeh M., Osgouei S. G., Dual-channel speech enhancement using normalized fractional least-mean-squares algorithm. Proceedings of the 19th Iranian Conference on Electrical Engineering (ICEE '11) May 2011 2-s2.0-80051945082
35. Osgouei S. G., Geravanchizadeh M., Speech enhancement using convex combination of fractional least-mean-squares algorithm. Proceedings of the 5th International Symposium on Telecommunications (IST '10) December 2010 869 872 2-s2.0-79953879424 10.1109/ISTEL.2010.5734144
36. Kumar D. S., Rout N. K., FLMS algorithm for acoustic echo cancellation and its comparison with LMS. Proceedings of the IEEE 1st International Conference on Recent Advances in Information Technology (RAIT '12) March 2012 852 856 10.1109/RAIT.2012.6194536
37. Pervez A., Yasin M., Performance analysis of bessel beamformer and LMS algorithm for smart antenna array in mobile communication system. Emerging Trends and Applications in Information Communication Technologies 2012 281 52 61
38. Yasin M., Akhtar P., Performance analysis of bessel beamformer with LMS algorithm for smart antenna array. Proceeding of the International Conference on Open Source Systems and Technologies (ICOSST '12) December 2012 1 5 10.1109/ICOSST.2012.6472832
39. Haykin S., Adaptive Filter Theory (ISE) 2003
40. Zahoor R. M. A., Application of fractional calculus to engineering: a new computational approach [Ph.D. thesis] 2011 Islamabad, Pakistan International Islamic University
41. Georgeta B., Nonlinear Systems Identification Using the Volterra Model 2005 University of Timisoara
42. Guérin A., Faucon G., Le Bouquin-Jeannès R., Nonlinear acoustic echo cancellation based on volterra filters. IEEE Transactions on Speech and Audio Processing 2003 11 6 672 683 2-s2.0-0347968210 10.1109/TSA.2003.818077
43. Küch F., Kellermann W., Nonlinear line echo cancellation using a simplified second order Volterra filter. 2 Proceedings of the IEEE International Conference on Acoustic, Speech and Signal Processing May 2002 1117 1120 2-s2.0-0036297080
44. Georgeta B., Botoca C., Nonlinearities identification using the LMS Volterra filter. Proceedings of the WSEAS International Conference on Dynamical Systems and Control November 2005 Venice, Italy Communications Department, Faculty of Electronics and Telecommunications 148 153
45. Pokharel P. P., Weifeng L., Principe J. C., Kernel LMS. 3 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '07 April 2007 1421 1424 2-s2.0-34547509593 10.1109/ICASSP.2007.367113
46. Liu W., Pokharel P. P., Principe J. C., The kernel least-mean-square algorithm. IEEE Transactions on Signal Processing 2008 56 2 543 554 2-s2.0-39649089144 10.1109/TSP.2007.907881
47. Gunduz A., Kwon J. P., Sanchez J. C., Principe J. C., Decoding hand trajectories from ECoG recordings via kernel least-mean-square algorithm. Proceedings of the 4th International IEEE/EMBS Conference on Neural Engineering (NER '09) May 2009 267 270 2-s2.0-70350220605 10.1109/NER.2009.5109284
48. Pantelis B., Theodoridis S., Mavroforakis M., The augmented complex kernel LMS. IEEE Transactions on Signal Processing 2012 60 9 4962 4967
49. Bao H., Panahi I. M. S., Active noise control based on kernel least-mean-square algorithm. Proceedings of the 43rd Asilomar Conference on Signals, Systems and Computers November 2009 642 644 2-s2.0-77953854295 10.1109/ACSSC.2009.5469919