Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle

Applied Mathematics and Computation

Volumn 247, Issue , 2014, Pages 1202-1210

  Chen, Huibo ^a   Xiao, Yongsong ^a   Ding, Feng ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Auxiliary model; Hammerstein system; Hierarchical identification; Parameter estimation; Stochastic gradient

Indexed keywords

AUXILIARY MODELING; GRADIENT PARAMETER; HAMMERSTEIN; HAMMERSTEIN SYSTEM; HIERARCHICAL IDENTIFICATION; SEPARATION PRINCIPLE; STOCHASTIC GRADIENT;

PARAMETER ESTIMATION;

EID: 84908451452     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.09.070     Document Type: Article

References (49)

1. F. Ding System Identification - New Theory and Methods 2013 Science Press Beijing
2. J. Sjöberg, and Q. Zhang Nonlinear black-box modeling in system identification: a unified overview Automatica 31 12 1995 1691 1724
3. Y.B. Hu, B.L. Liu, Q. Zhou, and C. Yang Recursive extended least squares parameter estimation for Wiener nonlinear systems with moving average noises Circuits Syst. Signal Process. 33 2 2014 655 664
4. D.Q. Wang, F. Ding, and Y.Y. Chu Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle Inf. Sci. 222 2013 203 212
5. Y. Liu, and E.W. Bai Iterative identification of Hammerstein systems Automatica 43 2 2007 346 354
6. D.Q. Wang, and F. Ding Least squares based and gradient based iterative identification for Wiener nonlinear systems Signal Process. 91 5 2011 1182 1189
7. D.Q. Wang, and F. Ding Hierarchical least squares estimation algorithm for Hammerstein-Wiener systems IEEE Signal Process. Lett. 19 12 2012 825 828
8. Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Trans. Autom. Control 54 7 2009 1668 1674
9. Y. Shi, and B. Yu Robust mixed H-2/H-infinity control of networked control systems with random time delays in both forward and backward communication links Automatica 47 4 2011 754 760
10. Y. Shi, J. Huang, and B. Yu Robust tracking control of networked control systems: application to a networked DC motor IEEE Trans. Ind. Electron. 60 12 2013 5864 5874
11. L. Xu A proportional differential control method for a time-delay system using the Taylor expansion approximation Appl. Math. Comput. 236 2014 391 399
12. F. Ding Combined state and least squares parameter estimation algorithms for dynamic systems Appl. Math. Modell. 38 1 2014 403 412
13. F. Ding State filtering and parameter identification for state space systems with scarce measurements Signal Process. 104 2014 369 380
14. Y. Shi, and H. Fang Kalman filter based identification for systems with randomly missing measurements in a network environment Int. J. Control 83 3 2010 538 551
15. H. Li, and Y. Shi Robust distributed model predictive control of constrained continuous-time nonlinear systems: a robustness constraint approach IEEE Trans. Autom. Control 59 6 2014 1673 1678
16. H. Li, and Y. Shi Event-triggered robust model predictive control of continuous-time nonlinear systems Automatica 50 5 2014 1507 1513
17. H. Li, and Y. Shi Distributed receding horizon control of large-scale nonlinear systems: handling communication delays and disturbances Automatica 50 4 2014 1264 1271
18. S.A. Billings Identification of nonlinear systems - a survey IEEE Proc. D Control Theory Appl. 127 6 1980 272 285
19. F.Z. Chaoui, and F. Giri System identification based on Hammerstein model Int. J. Control 78 6 2005 430 442
20. J.H. Li Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration Appl. Math. Lett. 26 1 2013 91 96
21. M. Dehghan, and M. Hajarian An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation Appl. Math. Comput. 202 2 2008 571 588
22. L. Xie, Y.J. Liu, and H.Z. Yang Gradient based and least squares based iterative algorithms for matrix equations AXB + CXTD = F Appl. Math. Comput. 217 5 2010 2191 2199
23. M. Dehghan, and M. Hajarian An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation Appl. Math. Comput. 202 2 2008 571 588
24. F. Ding, X.P. Liu, and G. Liu Identification methods for Hammerstein nonlinear systems Digital Signal Process. 21 2 2011 215 238
25. F. Ding, and T. Chen Identification of Hammerstein nonlinear ARMAX systems Automatica 41 9 2005 1479 1489
26. E.W. Bai, and K. Li Convergence of the iterative algorithm for a general Hammerstein system identification Automatica 46 11 2010 1891 1896
27. D.Q. Wang, F. Ding, and X.M. Liu Least squares algorithm for an input nonlinear system with a dynamic subspace state space model Nonlinear Dyn. 75 1-2 2014 49 61
28. J. Vörös Parameter identification of discontinuous Hammerstein systems Automatica 33 6 1997 1141 1146
29. J. Vörös Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities IEEE Trans. Autom. Control 44 11 1999 2145 2149
30. J. Vörös Modeling and parameter identification of systems with multi-segment piecewise-linear characteristics IEEE Trans. Autom. Control 47 1 2002 184 188
31. J. Vörös Recursive identification of Hammerstein systems with discontinuous nonlinearities containing dead-zones IEEE Trans. Autom. Control 48 12 2003 2203 2206
32. Y.J. Liu, Y.S. Xiao, and X.L. Zhao Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model Appl. Math. Comput. 215 4 2009 1477 1483
33. F. Ding, and T. Chen Performance analysis of multi-innovation gradient type identification methods Automatica 43 1 2007 1 14
34. W. Wang, and T. Tang Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems Appl. Math. Lett. 29 2014 36 41
35. Y.B. Hu Iterative and recursive least squares estimation algorithms for moving average systems Simul. Modell. Pract. Theory 34 2013 12 19
36. C. Wang, and T. Tang Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique Nonlinear Dyn. 77 3 2014 769 780
37. F. Ding Hierarchical parameter estimation algorithms for multivariable systems using measurement information Inf. Sci. 277 2014 396 405
38. Y. Gu, F. Ding, and J.H. Li State filtering and parameter estimation for linear systems with d-step state-delay IET Signal Process. 8 6 2014 639 646
39. Y.B. Hu, B.L. Liu, and Q. Zhou A multi-innovation generalized extended stochastic gradient algorithm for output nonlinear autoregressive moving average systems Appl. Math. Comput. 247 2014 218 224
40. J. Ding, C.X. Fan, and J.X. Lin Auxiliary model based parameter estimation for dual-rate output error systems with colored noise Appl. Math. Modell. 37 6 2013 4051 4058
41. J. Ding, and J.X. Lin Modified subspace identification for periodically non-uniformly sampled systems by using the lifting technique Circuits Syst Signal Process. 33 5 2014 1439 1449
42. Y.J. Liu, F. Ding, and Y. Shi An efficient hierarchical identification method for general dual-rate sampled-data systems Automatica 50 3 2014 962 970
43. X.L. Luan, P. Shi, and F. Liu Stabilization of networked control systems with random delays IEEE Trans. Ind. Electron. 58 9 2011 4323 4330
44. X.L. Luan, S.Y. Zhao, and F. Liu H-infinity control for discrete-time markov jump systems with uncertain transition probabilities IEEE Trans. Autom. Control 58 6 2013 1566 1572
45. P. Shi, X.L. Luan, and F. Liu H-infinity filtering for discrete-time systems with stochastic incomplete measurement and mixed delays IEEE Trans. Ind. Electron. 59 6 2012 2732 2739
46. D.Q. Zhu, and M. Kong Adaptive fault-tolerant control of nonlinear system: an improved CMAC based fault learning approach Int. J. Control 80 10 2007 1576 1594
47. D.Q. Zhu, Q. Liu, and Z. Hu Fault-tolerant control algorithm of the manned submarine with multi-thruster based on quantum behaved particle swarm optimization Int. J. Control 84 11 2012 1817 1829
48. D.Q. Zhu, H. Huang, and S.X. Yang Dynamic task assignment and path planning of multi-AUV system based on an improved self-organizing map and velocity synthesis method in 3D underwater workspace IEEE Trans. Cybern. 43 2 2013 504 514
49. B. Sun, D.Q. Zhu, and S.X. Yang A bio-inspired filtered backstepping cascaded tracking control of 7000m manned submarine vehicle IEEE Trans. Ind. Electron. 61 7 2014 3682 3692