Identification of hammerstein output-error systems with two-segment nonlinearities: Algorithm and applications

Control and Intelligent Systems

Volumn 38, Issue 4, 2010, Pages 194-201

  Yu, Bo ^a   Fang, Huazhen ^a   Lin, Yang ^a   Shi, Yang ^b  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Distillation columns; Hammerstein systems with two segment nonlinearities; Stochastic gradient algorithm; System identification

Indexed keywords

CONVERGENCE ANALYSIS; CONVERGENCE RATES; ERROR SYSTEMS; FORGETTING FACTORS; HAMMERSTEIN SYSTEM; IDENTIFICATION ALGORITHMS; NON-LINEARITY; NUMERICAL SIMULATION; PARAMETER IDENTIFICATION PROBLEMS; STOCHASTIC GRADIENT; STOCHASTIC GRADIENT ALGORITHMS; SWITCHING SEQUENCE; SYSTEM IDENTIFICATION;

ALGORITHMS; COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SIMULATION; CONTROL NONLINEARITIES; CONVERGENCE OF NUMERICAL METHODS; DISTILLATION; PARAMETER ESTIMATION; STOCHASTIC SYSTEMS;

DISTILLATION COLUMNS;

EID: 79951972583     PISSN: 14801752     EISSN: None     Source Type: Journal    
DOI: 10.2316/Journal.201.2010.4.201-2134     Document Type: Article

References (25)

1. S. Su, L. Wang, B. Celler, A. Savkin, & Y. Guo, Identification and control for heart rate regulation during treadmill exercise, IEEE Transactions on Biomedical Engineering, 54 (7), 2007, 1238-1246. (Pubitemid 46957491)
2. F. Alonge, F. D'Ippolito, F.M. Raimondi, & S. Tumminaro, Nonlinear modeling of DC/DC converters using the Hammerstein's approach, IEEE Transactions on Power Electronics, 22 (4), 2007, 1210-1221. (Pubitemid 47098822)
3. E. Eskinat, S.H. Johnson, & W.L. Luyben, Use of Hammerstein models in identification of nonlinear systems, American Institute of Chemical Engineering Journal, 37 (2), 1991, 255-268.
4. M. Isaksson, D. Wisell, &D. Rönnow, A comparative analysis of behavioral models for RF power amplifiers, IEEE Transactions on Microwave Theory and Techniques, 54 (1), 2006, 348-359. (Pubitemid 43119819)
5. Y. Liu & E.-W. Bai, Iterative identification of Hammerstein systems, Automatica, 43 (2), 2007, 346-354. (Pubitemid 46037595)
6. I. Goethals, K. Pelckmans, J.A. Suykens, & B.D. Moor, Identification of MIMO Hammerstein models using least squares support vector machines, Automatica, 41 (7), 2005, 1263-1272. (Pubitemid 40644865)
7. W.-X. Zhao & H.-F. Chen, Recursive identification for Hammerstein system with ARX subsystem, IEEE Transactions on Automatic Control, 51 (12), 2006, 1966-1974. (Pubitemid 46002291)
8. E.-W. Bai & D. Li, Convergence of the iterative Hammerstein system identification algorithm, IEEE Transactions on Automatic Control, 49 (11), 2004, 1929-1940.
9. F. Ding&T. Chen, Combined parameter and output estimation of dual-rate systems using an auxiliary model, Automatica, 40 (10), 2004, 1739-1748.
10. F. Ding & T. Chen, Identification of Hammerstein nonlinear ARMAX systems, Automatica, 41 (9), 2005, 1479-1489. (Pubitemid 41000116)
11. F. Ding & T. Chen, Parameter estimation of dual-rate stochastic systems by using an output error method, IEEE Transactions on Automatic Control, 50 (9), 2005, 1436-1441. (Pubitemid 41388188)
12. F. Ding & T. Chen, Performance analysis of multi-innovation gradient type identification methods, Automatica, 43 (1), 2007, 1-14. (Pubitemid 44792035)
13. J. Vörös, Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities, IEEE Transactions on Automatic Control, 44 (11), 1999, 2145-2149. (Pubitemid 30531660)
14. M.-C. Kung & B.F. Womack, Discrete time adaptive control of linear dynamic systems with a two-segment piecewise-linear asymmetric nonlinearity, IEEE Transactions on Automatic Control, 29 (2), 1984, 170-172.
15. J. Vörös, Identification of Hammerstein systems with timevarying piecewise-linear characteristics, IEEE Transactions on Circuits and Systems-Part II: Analog and Digital Signal Processing, 52 (12), 2005, 865-869. (Pubitemid 43056343)
16. E.-W. Bai, An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems, Automatica, 34(3), 1998, 333-338. (Pubitemid 128413973)
17. V. Cerone & D. Regruto, Parameter bounds for discretetime Hammerstein models with bounded output errors, IEEE Transactions on Automatic Control, 48 (10), 2003, 1855-1860.
18. F. Ding & T. Chen, Hierarchical gradient-based identification of multivariable discrete-time systems, Automatica, 41 (2), 2005, 315-325. (Pubitemid 41536582)
19. H.-F. Chen & L. Guo, Identification and stochastic adaptive control (Cambridge, MA, USA: Birkhauser Boston Inc., 1991).
20. G.C. Goodwin & K.S. Sin, Adaptive filtering: prediction and control (Englewood Cliffs, NJ, USA: Prentice Hall, 1984).
21. S. Skogestad, M. Morari, & J.C. Doyle, Robust control of illconditioned plants: high-purity distillation, IEEE Transactions on Automatic Control, 33 (12), 1988, 1092-1105.
22. Y. Shi & H. Fang, Kalman filter based identification for systems with randomly missing measurements in a network environment, International Journal of Control, 83 (3), 2010, 538-551.
23. Y. Shi & B. Yu, Output feedback stabilization of networked control systems with random delays modeled by Markov chains, IEEE Transactions on Automatic Control, 54 (7), 2009, 1668-1674.
24. Y. Shi, H. Fang, & M. Yan, Kalman filter based adaptive control for networked systems with unknown parameters and randomly missing outputs, International Journal of Robust and Nonlinear Control, Special Issue on Control with Limited Information (Part II), 19 (18), 2009, 1976-1992.
25. B. Yu, Networked control system design and parameter estimation, Master's thesis, University of Saskatchewan, Saskatoon, SK, Canada, 2008.