Parameter estimation error bounds for Hammerstein nonlinear finite impulsive response models

Applied Mathematics and Computation

Volumn 202, Issue 2, 2008, Pages 472-480

  Yu, Li ^a   Zhang, Jiabo ^a   Liao, Yuwu ^a   Ding, Jie ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Convergence properties; FIR models; Hammerstein models; Least squares; Martingale convergence theorem; Parameter estimation; Recursive identification

Indexed keywords

BOOLEAN FUNCTIONS; CONTROL THEORY; ESTIMATION; IMPULSE RESPONSE; METAL ANALYSIS; MILITARY DATA PROCESSING; MODEL STRUCTURES; NONLINEAR ANALYSIS; NONLINEAR SYSTEMS; STEEL ANALYSIS; STOCHASTIC MODELS;

(001) PARAMETER; CONVERGENCE PROPERTIES; DATA LENGTHS; ELSEVIER (CO); ESTIMATION ERROR BOUNDS; FINITE-IMPULSE RESPONSE (FIR); IDENTIFICATION ALGORITHMS; IMPULSIVE RESPONSE; INPUT/OUTPUT (I/O) DATA; MEAN SQUARE (MS); PARAMETER ESTIMATION ALGORITHMS; PARAMETER ESTIMATION ERRORS; SIMULATION EXAMPLE; STOCHASTIC FRAMEWORK; UPPER AND LOWER BOUNDS;

PARAMETER ESTIMATION;

EID: 48049108471     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.01.002     Document Type: Article

References (15)

1. Bai E.W. An optimal two-stage identification algorithm for Hammerstein-Wiener nonlinear systems. Automatica 34 3 (1988) 333-338
2. Bai E.W. A blind approach to the Hammerstein-Wiener model identification. Automatica 38 6 (2002) 967-979
3. Bai E.W. Identification of linear systems with hard input nonlinearities of known structure. Automatica 38 5 (2002) 853-860
4. Bai E.W. Frequency domain identification of Wiener models. Automatica 39 9 (2003) 1521-1530
5. Bai E.W. Decoupling the linear and nonlinear parts in Hammerstein model identification. Automatica 40 4 (2004) 671-676
6. Ding F., and Chen T. Identification of Hammerstein nonlinear ARMAX systems. Automatica 41 9 (2005) 1479-1489
7. Ding F., Shi Y., and Chen T. Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Nonlinear Dynamics 45 1-2 (2006) 31-43
8. Cerone V., and Regruto D. Parameter bounds for discrete-time Hammerstein models with bounded output errors. IEEE Transactions on Automatic Control 48 10 (2003) 1855-1860
9. Ding F., and Chen T. Performance bounds of forgetting factor least squares algorithm for time-varying systems with finite measurement data. IEEE Transactions on Circuits and Systems-I: Regular Papers 52 3 (2005) 555-566
10. Goodwin G.C., and Sin K.S. Adaptive Filtering Prediction and Control (1984), Prentice-Hall, Englewood Cliffs, NJ
11. Ding F., Liu X.P., and Shi Y. Convergence analysis of estimation algorithms of dual-rate stochastic systems. Applied Mathematics and Computation 176 1 (2006) 245-261
12. Ding F., Chen H.B., and Li M. Multi-innovation least squares identification methods based on the auxiliary model for MISO systems. Applied Mathematics and Computation 187 2 (2007) 658-668
13. Ding F., and Chen T. Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 41 2 (2004) 315-325
14. Ding F., and Chen T. Hierarchical least squares identification methods for multivariable systems. IEEE Transactions on Automatic Control 50 3 (2005) 397-402
15. Y.W. Liao, L. Yu, J.B. Zhang, Parameter estimation error bounds for input nonlinear FIR systems, Proceedings of the 4th International Conference on Impulsive and Hybrid Dynamical Systems, July 20-22, 2007, Nanning, China, pp. 2549-2552.