Basis-function optimization for subspace-based nonlinear identification of systems with measured-input nonlinearities

Proceedings of the American Control Conference

Volumn 5, Issue , 2004, Pages 4788-4793

  Palanthandalam Madapusi, Harish J ^a   Hoagg, Jesse B ^a   Bernstein, Dennis S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR MAPPING; RADIAL BASIS FUNCTIONS; STATE-SPACE REALIZATION;

ALGORITHMS; FUNCTIONS; MATRIX ALGEBRA; OPTIMIZATION; OSCILLATORS (MECHANICAL); POLYNOMIALS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

NONLINEAR SYSTEMS;

EID: 8744280016     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2004.182709     Document Type: Conference Paper

References (14)

1. E.-W. Bai. An Optimal Two-Stage Identification Algorithm for Hammeistein-Wiener Nonlinear Systems. Automatica, 34(3):333-338, 1998.
2. C. H. Chen and S. D. Fassois. Maximum Likelihood Identification of Stochastic Wiener-Hammerstein-Type Non-Linear Systems. Mech. Sys. Sig. Proc., 6(2):135-153, 1992.
3. H. Diaz and A. A. Desrochers. Modeling of Nonlinear Discrete-Time Systems from Input-Output Data. Automatica, 24:629-641, 1988.
4. R. Haber and L. Keviczky. Nonlinear System Identification - Input-Output Modeling Approach, volume 1: Nonlinear System Parameter Identification. Kluwer Academic Publishers, 1999.
5. R. Haber and L. Keviczky. Nonlinear System Identification - Input-Output Modeling Approach, volume 2: Nonlinear System Structure Identification. Kluwer Academic Publishers, 1999.
6. Z. Hasiewicz. Identification of a Linear System Observed Through Zero-Memory Non-Linearity. Int. J. Sys. Sci., 18(9):1595-1607, 1987.
7. A. Juditsky et al. Nonlinear Black-Box Models in System Identification: Mathematical Foundations. Automatica, 31(12):1725-1750, 1995.
8. S. L. Lacy and D. S. Bernstein. Subspace Identification for Nonlinear Systems That Are Linear in Unmeasured States. In Proc. Conf. Dec. Contr., pages 3518-3523, Orlando, Florida, December 2001.
9. M. Moonen, B. De Moor, L. Vandenberghe, and J. Vandewalle. On-and Off-Line Identification of Linear State-Space Models. Int. J. Contr., 49(1):219-232, 1989.
10. R. K. Pearson. Discrete-Time Dynamic Models. Oxford University Press, 1999.
11. C. A. Schwarz and B. W. Dickinson. On Finite Dimensional Realization Theory of Discrete Time Nonlinear Systems. Sys. Contr. Lett., 7:117-123, 1986.
12. J. Sjoberg et al. Nonlinear Black-Box Modeling in System Identification: A Unified Overview. Automatica, 31(12):1691-1724, 1995.
13. P. Van Overschee and B. De Moor. Subspace Identification for Linear Systems: Theory, Implementation, Applications. Kluwer, 1996.
14. T. Van Pelt and D. S. Bernstein. Nonlinear System Identification Using Hammerstein and Nonlinear Feedback Models with Piecewise Linear Static Maps. Int. J. Contr., 74:1807-1823, 2001.