Least squares-based recursive and iterative estimation for output error moving average systems using data filtering

IET Control Theory and Applications

Volumn 5, Issue 14, 2011, Pages 1648-1657

  Wang, D Q ^a  

^a QINGDAO UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AUXILIARY MODELS; DATA FILTERING; FILTERING THEORY; IDENTIFICATION ALGORITHMS; IDENTIFICATION MODEL; INPUT-OUTPUT DATA; ITERATIVE ESTIMATION; LEAST SQUARE; MOVING AVERAGES; OUTPUT ERRORS; PARAMETER ESTIMATE; RECURSIVE EXTENDED LEAST SQUARES; RECURSIVE LEAST SQUARES;

PARAMETER ESTIMATION;

ALGORITHMS;

EID: 84863116493     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2010.0416     Document Type: Article

References (41)

1. Forssell, U., and Ljung, L.: ' Identification of unstable systems using output error and Box-Jenkins model structures ', IEEE Trans. Autom. Control, 2000, 45, (1), p. 137-141 10.1109/9.827371 0018-9286 (Pubitemid 30581586)
2. Söderström, T., Hong, M., Schoukens, J., and Pintelon, R.: ' Accuracy analysis of time domain maximum likelihood method and sample maximum likelihood method for errors-in-variables and output error identification ', Automatica, 2010, 46, (4), p. 721-727 10.1016/j.automatica.2010.01.026 0005-1098
3. Rosenqvist, F., and Karlström, A.: ' Realisation and estimation of piecewise-linear output error models ', Automatica, 2005, 41, (3), p. 545-551 10.1016/j.automatica.2004.11.011 0005-1098 (Pubitemid 40183249)
4. Zheng, W.X.: ' A bias correction method for identification of linear dynamic errors-in-variables models ', IEEE Trans. Autom. Control, 2002, 47, (7), p. 1142-1147 10.1109/TAC.2002.800661 0018-9286 (Pubitemid 34835341)
5. Zheng, W.X.: ' On indirect identification of feedback-control systems via the instrumental variables methods ', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 2003, 50, (9), p. 1232-1238 10.1109/TCSI.2003.816326 1057-7122
6. Zhang, Y., and Cui, G.M.: ' Bias compensation methods for stochastic systems with colored noise ', Appl. Math. Model., 2011, 35, (4), p. 1709-1716 10.1016/j.apm.2010.10.003
7. Gillberg, J., and Ljung, L.: ' Frequency domain identification of continuous-time output error models, part I: uniformly sampled data and frequency function approximation ', Automatica, 2010, 46, (1), p. 1-10 10.1016/j.automatica.2009.10.004 0005-1098
8. Gillberg, J., and Ljung, L.: ' Frequency domain identification of continuous-time output error models, part II: non-uniformly sampled data and B-spline output approximation ', Automatica, 2010, 46, (1), p. 11-18 10.1016/j.automatica.2009.10.005 0005-1098
9. Zhu, Y.C., Telkamp, H., Wang, J.H., and Fu, Q.L.: ' System identification using slow and irregular output samples ', J. Process Control, 2009, 19, (1), p. 58-67 10.1016/j.jprocont.2008.02.002 0959-1524
10. Ding, F., and Ding, J.: ' Least squares parameter estimation with irregularly missing data ', Int. J. Adapt. Control Signal Process., 2010, 24, (7), p. 540-553 10.1002/acs.1141 0890-6327
11. Dugard, L., and Landau, I.D.: ' Recursive output error identification algorithms theory and evaluation ', Automatica, 1980, 16, (5), p. 443-462 10.1016/0005-1098(80)90066-7 0005-1098 (Pubitemid 11452699)
12. Landau, I.D., and Karimi, A.: ' An output error recursive algorithm for unbiased identification in closed loop ', Automatica, 1997, 33, (5), p. 933-938 10.1016/S0005-1098(96)00223-3 0005-1098 (Pubitemid 127413712)
13. Landau, I.D., and Karimi, A.: ' Recursive algorithms for identification in closed loop: a unified approach and evaluation ', Automatica, 1997, 33, (8), p. 1499-1523 10.1016/S0005-1098(97)00061-7 0005-1098 (Pubitemid 127392281)
14. Ding, F., and Chen, T.: ' Combined parameter and output estimation of dual-rate systems using an auxiliary model ', Automatica, 2004, 40, (10), p. 1739-1748 10.1016/j.automatica.2004.05.001 0005-1098
15. Ding, F., and Chen, T.: ' Parameter estimation of dual-rate stochastic systems by using an output error method ', IEEE Trans. Autom. Control, 2005, 50, (9), p. 1436-1441 10.1109/TAC.2005.854654 0018-9286 (Pubitemid 41388188)
16. Ding, F., Liu, P.X., and Liu, G.: ' Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises ', Signal Process., 2009, 89, (10), p. 1883-1890 10.1016/j.sigpro.2009.03.020 0165-1684
17. Ding, F., Liu, P.X., and Liu, G.: ' Multi-innovation least squares identification for system modelling ', IEEE Trans. Syst. Man Cybern. B, Cybern., 2010, 40, (3), p. 767-778 10.1109/TSMCB.2009.2028871 1083-4419
18. Xie, L., Liu, Y.J., Yang, H.Z., and Ding, F.: ' Modeling and identification for non-uniformly periodically sampled-data systems ', IET Control Theory Appl., 2010, 4, (5), p. 784-794 10.1049/iet-cta.2009.0064
19. ∞ fault detection filter design for networked control systems modelled by discrete Markovian jump systems ', IET Control Theory Appl., 2007, 1, (5), p. 1336-1343 10.1049/iet-cta:20060431 (Pubitemid 47283324)
20. Li, P., Goodall, R., and Kadirkamanathan, V.: ' Estimation of parameters in a linear state space model using a Rao-Blackwellised particle filter ', IET Control Theory Appl., 2004, 151, (6), p. 727-738 10.1049/ip-cta:20041008 (Pubitemid 40016141)
21. Qiu, H.Z., Zhang, H.Y., and Sun, X.F.: ' Solution of two-stage Kalman filter ', IET Control Theory Appl., 2005, 152, (2), p. 152-156 10.1049/ip-cta:20045014 (Pubitemid 40540345)
22. Cong, S., Hong, L., and Layne, J.R.: ' Iterative robust filtering for ground target tracking ', IET Control Theory Appl., 2007, 1, (1), p. 372-380 10.1049/iet-cta:20050378 (Pubitemid 46104244)
23. ∞ filtering design for discrete-time switched polytopic linear systems ', IET Control Theory Appl., 2008, 2, (5), p. 420-430 10.1049/iet-cta:20070289 (Pubitemid 351776418)
24. Wang, D.Q., and Ding, F.: ' Input-output data filtering based recursive least squares identification for CARARMA systems ', Digit. Signal Process., 2010, 20, (4), p. 991-999 10.1016/j.dsp.2009.12.006 1051-2004
25. Ding, F., Liu, P.X., and Liu, G.: ' Gradient based and least-squares based iterative identification methods for OE and OEMA systems ', Digit. Signal Process., 2010, 20, (3), p. 664-677 10.1016/j.dsp.2009.10.012 1051-2004
26. Goodwin, G.C., and Sin, K.S.: ' Adaptive filtering prediction and control ', (Prentice-Hall, Englewood Cliffs, NJ, 1984)
27. Wang, D.Q.: ' Recursive extended least squares identification method based on auxiliary models ', Control Theory Appl., 2009, 26, (1), p. 51-56 10.1007/s11768-009-6142-6 1000-8152
28. Ding, F., and Chen, T.: ' Hierarchical least squares identification methods for multivariable systems ', IEEE Trans. Autom. Control, 2005, 50, (3), p. 397-402 10.1109/TAC.2005.843856 0018-9286 (Pubitemid 40448592)
29. Ding, F., and Chen, T.: ' Identification of dual-rate systems based on finite impulse response models ', Int. J. Adapt. Control Signal Process., 2004, 18, (7), p. 589-598 10.1002/acs.820 0890-6327
30. Ding, F., and Chen, T.: ' Least squares based self-tuning control of dual-rate systems ', Int. J. Adapt. Control Signal Process., 2004, 18, (8), p. 697-714 10.1002/acs.828 0890-6327
31. Ding, F., and Chen, T.: ' Hierarchical identification of lifted state-space models for general dual-rate systems ', IEEE Trans. Circuits Syst. I, Regul. Pap., 2005, 52, (6), p. 1179-1187 10.1109/TCSI.2005.849144 (Pubitemid 40970287)
32. Ding, F., and Chen, T.: ' A gradient based adaptive control algorithm for dual-rate systems ', Asian J. Control, 2006, 8, (4), p. 314-323 10.1111/j.1934-6093.2006.tb00283.x 1561-8625
33. Ding, F., Chen, T., and Iwai, Z.: ' Adaptive digital control of Hammerstein nonlinear systems with limited output sampling ', SIAM J. Control Optim., 2006, 45, (6), p. 2257-2276 10.1137/05062620X 0363-0129
34. Ding, F., Liu, P.X., and Yang, H.Z.: ' Parameter identification and intersample output estimation for dual-rate systems ', IEEE Trans. Syst. Man Cybern. A, Syst. Humans, 2008, 38, (4), p. 966-975 10.1109/TSMCA.2008.923030 1083-4427
35. Ding, J., Shi, Y., Wang, H.G., and Ding, F.: ' A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems ', Digital Signal Process., 2010, 20, (4), p. 1238-1249 10.1016/j.dsp.2009.10. 023
36. Ding, F., Shi, Y., and Chen, T.: ' Performance analysis of estimation algorithms of non-stationary ARMA processes ', IEEE Trans. Signal Process., 2006, 54, (3), p. 1041-1053 10.1109/TSP.2005.862845 1053-587X (Pubitemid 43280579)
37. Liu, Y.J., Xie, L., and Ding, F.: ' An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems ', Proc. Inst. Mech. Eng. I, J. Syst. Control Eng., 2009, 223, (4), p. 445-454 10.1243/09596518JSCE686 0959-6518
38. Ding, F., Qiu, L., and Chen, T.: ' Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems ', Automatica, 2009, 45, (2), p. 324-332 10.1016/j.automatica.2008.08.007 0005-1098
39. Xie, L., Yang, H.Z., and Ding, F.: ' Modeling and identification for non-uniformly periodically sampled-data systems ', IET Control Theory Appl., 2010, 4, (5), p. 784-794 10.1049/iet-cta.2009.0064
40. Ding, F., Liu, X.P., and Liu, G.: ' Identification methods for Hammerstein nonlinear systems ', Digital Signal Process., 2011, 21, (2), p. 215-238 10.1016/j.dsp.2010.06.006
41. Wang, D.Q., and Ding, F.: ' Least squares based and gradient based iterative identification for Wiener nonlinear systems ', Signal Process., 2011, 91, (5), p. 1182-1189 10.1016/j.sigpro.2010.11.004 0165-1684