Nonlinear discrete-time observer design with linearizable error dynamics

IEEE Transactions on Automatic Control

Volumn 48, Issue 4, 2003, Pages 622-626

  Xiao, MingQing ^a   Kazantzis, Nikolaos ^b   Kravaris, Costas ^c   Krener, Arthur J ^d  

^a Southern Illinois University Carbondale   (United States)

^b Worcester Polytechnic Institute   (United States)

^c UNIVERSITY OF PATRAS   (Greece)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Discrete time nonlinear system; Linearizable error dynamics; Nonlinear observer; Output injection

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; ERROR ANALYSIS; LINEARIZATION; MAPPING; THEOREM PROVING;

LINEARIZABLE ERROR DYNAMICS;

NONLINEAR CONTROL SYSTEMS;

EID: 0037397442     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.809793     Document Type: Article

References (17)

1. V. I. Arnol'd, Geometrical Methods in the Theory of Ordinary Differential Equations. Berlin, Germany: Springer-Verlag, 1988.
2. S. T. Chung and J. W. Grizzle, "Sampled-data observer error linearization," Automatica, vol. 26, p. 997, 1990.
3. G. Ciccarela, M. Dalla Mora, and A. Germani, "A Luenberger-like observer for nonlinear systems," Int. J. Control, vol. 57, p. 537, 1993.
4. -, "Observers for discrete-time nonlinear systems," Syst. Control Lett., vol. 20, p. 373, 1993.
5. H. J. C. Huijberts, T. Lilge, and H. Nijmeijer, "Nonlinear discrete-time synchronization via extended observers," Int. J. Bifur. Chaos., vol. 11, pp. 1997-2006, 2001.
6. N. Kazantzis and C. Kravaris, "Nonlinear observer design using Lyapunov's auxiliary theorem," Syst. Control Lett., vol. 34, pp. 241-247, 1998.
7. _, "Discrete-time nonlinear observer design using functional equations," Syst. Control Lett., vol. 42, pp. 81-94, 2001.
8. A. J. Krener and A. Isidori, "Linearization by output injection and nonlinear observers," Syst. Control Lett., no. 3, pp. 47-52, 1983.
9. A. J. Krener, "Nonlinear stabilizability and detectability," in In Systems and Networks: Mathematical Theory and Applications, U. Helmke, R. Mennicken, and J. Saurer, Eds. Berlin, Germany: Akademie-Verlag, 1994, pp. 231-250.
10. A. J. Krener and M. Xiao, "Nonlinear observer design in the Siegel domain," SIAM J. Control Optim., vol. 41, no. 2, pp. 932-953, 2002.
11. -, "Nonlinear observer design in the Siegel domain through coordinate transformation," in Proc. 5th Int. Fed. Automatic Control, St. Petersburg, Russia, 2001, pp. 557-562.
12. _, "Necessary and sufficient condition for nonlinear observer with linearizable error dynamics," presented at the 40th IEEE Conf. Decision Control, Orlando, FL, 2001.
13. -, "Observers for linearly unobservable nonlinear systems," Syst. Control Lett., vol. 46, pp. 281-288, 2002.
14. W. Lee and K. Nam, "Observer design for autonomous discrete-time nonlinear systems," Syst. Control Lett., vol. 17, p. 49, 1991.
15. T. Lilge, "On observer design for nonlinear discrete-time systems," Eur. J. Control, vol. 4, pp. 306-319, 1998.
16. W. Lin and C. I. Byrnes, "Remarks on linearization of discrete-time autonomous systems and nonlinear observer design," Syst. Control Lett., vol. 25, p. 31, 1995.
17. P. E. Moraal and J. E. Grizzle, "Observer design for nonlinear systems with discrete-time measurements," IEEE Trans. Automat. Contr., vol. 40, p. 395, Mar. 1995.