State estimation for nonlinear systems under model uncertainties: A class of sliding-mode observers

Journal of Process Control

Volumn 15, Issue 3, 2005, Pages 363-370

  Aguilar López, Ricardo ^a   Maya Yescas, Rafael ^a,b  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA AZCAPOTZALCO   (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

Author keywords

Noisy measurements; Robust performance; Sliding mode observer; State estimation; Unstructured uncertainty estimation

Indexed keywords

DYNAMICS; KALMAN FILTERING; NEURAL NETWORKS; SLIDING MODE CONTROL; STATE ESTIMATION; VECTORS;

NOISY MEASUREMENTS; ROBUST PERFORMANCE; UNSTRUCTURED UNCERTAINTY ESTIMATION;

NONLINEAR SYSTEMS;

EID: 10444289849     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2004.01.008     Document Type: Article

References (26)

1. D. Williamson, Observation of bilinear systems with application to biological control, Automatica 13 (1977) 243-254.
2. A.J. Krener, A. Isidori, Linearization by output injection and nonlinear observers, Syst. Control Lett. 9 (1983) 47-52.
3. X.U. Xia, W.B. Gao, Nonlinear observer design by observer error linearization, SIAM, J. Ctrl. Opt. 27 (1989) 199-216.
4. J.P. Gauthier, G. Bonard, Observability for any u(t) of a class of nonlinear system, IEEE Trans. Autom. Control AC26 (1981) 922-926.
5. M. Zeitz, The extended Luenberger observer for nonlinear systems, Syst. Control Lett. 9 (1987) 149-156.
6. J.P. Gauthier, H. Hammouri, S. Othman, A simple observer for nonlinear system applications to bioreactors, IEEE Trans. Autom. Control 37 (1992) 875-880.
7. G. Ciccarella, M. Dalla Mora, A.A. Germani, Luenberger-like observer for nonlinear systems, Int. J. Control 57 (1993) 537-556.
8. B.L. Walkott, M. Corless, H. Zak, Comparative study of nonlinear state observation techniques, Int. J. Control 45 (1987) 2109-2132.
9. A. Tornanbé, Use of asymptotic observers having high gains in the state and parameter estimation, in: Proc. IEEE Conf. on Dec. & Ctrl. Tampa, FL, 1989, pp. 1791-1794.
10. A. Dabroom, H. Khalil, Numerical differentiation using high gain observers, in: Proc. IEEE Conf. on Dec. & Ctrl., San Diego, CA, 1997, pp. 4790-4794.
11. Z. Ruijun, C. Tianyou, S. Cheng, Robust nonlinear observer design using dynamic recurrent neural networks, Proc. of the ACC (1997), IL 2, 1997, pp. 1096-1100.
12. D.N. Shiels, Observer design for nonlinear descriptor systems for control and fault detection, Syst. Sci. 22 (1996) 5-20.
13. A. Poznyak, R. Martinez, A. Osorio, Robust high gain observer for nonlinear closed-loop stochastic systems, Math. Methods Eng. Practice 6 (2000) 31-60.
14. G.E. Elicabe, E. Ozdeger, C. Georgakis, On line estimation of reaction rate in a polymerization process, Ind. Eng. Chem. Res. 34 (1995) 1219-1226.
15. N. Kazantzis, C. Kravaris, Nonlinear observers for process monitoring, Ind. Eng. Chem. Res. 39 (2000) 408-414.
16. M. Hou, K. Busawon, M. Saif, Observer design based on triangular form generated by injective map, IEEE Trans. Autom. Control 45 (2000) 1350-1355.
17. R. Aguilar, R. Martínez-Guerra, A. Poznyak, Reaction heat estimation in continuous chemical reactors using high gain observers, Chem. Eng. J. 7 (3) (2002) 351-356.
18. J. Slotine, J. Hendricks, E. Misawa, On sliding observers for nonlinear systems, J. Dyn. Meas. Control 109 (1987) 245-252.
19. R. Oliveira, E.C. Ferreira, S. Feyo de Azevedo, Stability, dynamics of convergence and tuning of observer-based kinetic estimators, J. Proc. Control 12 (2002) 311-323.
20. K.K. Busawon, P. Kabore, Disturbance attenuation using proportional integral observers, Int. J. Control 74 (2001) 618-627.
21. E. Yaz, A. Azemi, Observer design for discrete and continuous nonlinear stochastic systems, Int. J. Syst. Sci. 12 (1993) 2289-2302.
22. B. Walcott, H. Zak, State observation of nonlinear uncertain dynamical systems, IEEE Trans. Autom. Control 32 (1987) 166-170.
23. H.L. Hesie, Kinetics of polimerization of butadiene, isoprene and stirene with alkil-lithiums. Part I rates of polimerization, J. Polym. Sci. (1965) 3153-3161.
24. R. Aguilar-López, Operation and control analysis in a batch reactor for butadiene polymerization, Universidad Autonóma Metropolitana, M.Sc. Thesis, 1993 (in Spanish).
25. Perry, Green (Eds.), Chemical Engineering Handbook, sixth ed., McGraw Hill, 1988.
26. Langes Handbook of Chemistry, 30th ed., McGraw Hill, 1985.