Parameters estimation of systems with delayed and structured entries

Automatica

Volumn 45, Issue 5, 2009, Pages 1117-1125

  Belkoura, Lotfi ^a   Richard, Jean Pierre ^b   Fliess, Michel ^c  

^a INRIA   (France)

^b ECOLE CENTRALE DE LILLE   (France)

^c ÉCOLE POLYTECHNIQUE   (France)

Author keywords

Delay systems; Identification; Switched linear systems

Indexed keywords

ASYMPTOTIC ESTIMATORS; DELAY SYSTEMS; IDENTIFICATION; NOISY DATUM; NUMERICAL SIMULATIONS; ON-LINE IDENTIFICATIONS; PARAMETERS ESTIMATIONS; PIECEWISE POLYNOMIALS; SWITCHED LINEAR SYSTEMS; TIME-VARYING; UNKNOWN COEFFICIENTS;

HYBRID SYSTEMS; LINEAR SYSTEMS; PARAMETER ESTIMATION; SWITCHING SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 65049084153     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.12.026     Document Type: Article

References (26)

1. Ahmed S., Huang B., and Shah S.L. Parameter and delay estimation of continuous-time models using a linear filter. Journal of Process Control 16 (2006) 323-331
2. Belkoura L. Identifiability of systems described by convolution equations. Automatica 41 (2005) 505-512
3. Belkoura, L., & Richard, J.-P. (2006). A distribution framework for the fast identification of linear systems with delays. In 6th IFAC workshop on time delay systems
4. Belkoura, L., Richard, J.-P., & Fliess, M. (2006). On-line identification of systems with delayed inputs. In 16th conf. mathematical theory of networks & systems
5. Beltran-Carvajal, F., Silva-Navarro, G., Sira-Ramirez, H., & Quezada-Andrade, J. (2005). Active vibration control using on-line algebraic identification of harmonic vibrations. In Proc. Amer. control conf.
6. De Santis, E., & Di Benedetto, M. D. (2005). Design of luenberger-like observers for detectable switching systems. In Proc. of the 2005 IEEE international symposium on Mediterrean conference on control and automation
7. Druhle, S., Ferrari-Trecate, G., de Jong, H., & Viari, A. (2006). Reconstruction of switching thresholds in piecewise-affine models of genetic regulatory networks. In 9th Int. workshop, HSCC, Amercican control conference (pp. 184-199)
8. Ferrari-Trecate, G., Muselli, M., Liberaty, D., & Morari, M. (2001). Identification of piecewise affine and hybrid systems. In Amercican control conference (pp. 3521-3526)
9. Fliess M., Join C., and Sira-Ramirez H. Robust residual generation for linear fault diagnosis: An algebraic setting with examples. International Journal of Control 77 (2004) 1223-1242
10. Fliess M., Join C., and Sira-Ramirez H. Non-linear estimation is easy. International Journal of Modelling, Identification and Control 3 (2008)
11. Fliess M., Marquez R., and Mounier H. An extension of predictive control, pid regulators and smith predictors to some linear delay systems. International Journal of Control 75 (2002) 728-743
12. Fliess M., Mboup M., Mounier H., and Sira-Ramirez H. Questioning some paradigms of signal processing via concrete examples. Algebraic methods in flatness, signal processing and state estimation (2003), Editiorial Lagares, Mexico 1-21
13. Gomez O., Orlov Y., and Kolmanovsky I.V. On-line identification of siso linear time-invariant delay systems from output measurements. Automatica 43 (2007) 2060-2069
14. Hulhoven X., Vande Wouwer A., and Bogarts Ph. Hybrid extended Luenberger-asymptotic observer for bioprocess state estimation. Chemical Engineering Science 61 (2006)
15. Koutsouos, X. D. (2003). Estimation of hybrid systems using discrete sensors. In 42nd conference on decision and control
16. Mboup, M., Join, C., & Fliess, M. (2008). An on-line change-point detection method. In 16th Mediterrean conference on control and automation
17. Nuninger W., Catiau L., and Montastruc L. Online optimisation of fruit drying based on drying curve identification (2007), Socit Franaise de Gnie des Procds, St Etienne
18. Orlov, Y., Kolmanovsky, I. V., & Gomez, O. (2006). On-line identification of siso linear time-delay systems from output measurements: Theory and applications to engine transient fuel identification. In Proceedings of the 2006 American control conference minneapolis
19. Orlov Y., Richard J.-P., Belkoura L., and Dambrine M. Identifiability and identification of linear systems with delays. LNCSE advances in time delay systems Vol. 38 (2004), Springer 123-135
20. Ren X.M., Rad A.B., Chan P.T., and Lo W.L. On line identification of continuous-time systems with unknown time delay. IEEE Transactions on Automatic Control 50-9 (2005) 1418-1422
21. Richard J.P. Time-delay systems: An overview of some recent advances and open problems. Automatica 39 (2003) 1667-1694
22. Schwartz L. Théorie des distributions (1966), Hermann, Paris
23. Sira-Ramirez, H. (2007). Some applications of differential algebra in systems identification. In 3rd IFAC symposium on system, structure and control. Plenary lecture
24. Sira-Ramirez H., and Fliess M. An algebraic framework for linear identification. ESAIM Control, Optimization ans Calculus of Variations 9 (2003)
25. Veysset, F., Belkoura, L., Coton, P., & Richard, J.-P. (2006). Delay system identification applied to the longitudinal flight of an aircraft through a verttical gust. In 14th IEEE Mediterranean conf. on control and automation
26. Wright, T. G., & Trefethen, L. N. (2001). Eigenvalues and pseudospectra of rectangular matrices. Tech. report. Oxford University, Numerical analysis group