Uniformly observable and globally Lipschitzian nonlinear systems admit semi-global finite-time obser

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Shen, Yanjun ^a   Xia, Xiaohua ^a  

^a NONE

Author keywords

Lyapunov methods; Nonlinear observer and filter design; Observers for linear systems

Indexed keywords

FINITE TIME STABILITY; GEOMETRIC HOMOGENEITY; HIGH-GAIN OBSERVERS; LIPSCHITZIAN; LYAPUNOV THEORIES; NONLINEAR OBSERVER AND FILTER DESIGN; OBSERVERS FOR LINEAR SYSTEMS; SEMI-GLOBAL; SUFFICIENT CONDITIONS;

FILTER BANKS; LINEAR SYSTEMS; LYAPUNOV METHODS; NONLINEAR SYSTEMS;

OBSERVABILITY;

EID: 79961019807     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.1384     Document Type: Conference Paper

References (34)

1. A. N. Atassi and H.K. Khalil. A separation principle for the stabilization of a class of nonlinear systems. IEEE Trans. Automat. Contr., 44:1672-1687, 1999.
2. G. Besancon. Nonlinear Observers and Applications. Lecture Notes in Control and Information Sciences, vol.363, 2007.
3. D. Bestle and M. Zeitz. Cannonical form observer design for non-linear time-variable. Int. J. of Contr., 38:419-431, 1983.
4. S. Bhat and D. Bernstein. Finite-time stability of continuous autonomous systems. SIAM J. Control Optim. 38:751-766, 2000.
5. S. Bhat and D. Bernstein. Geometric homogeneity with applications to nite-time stability. Math. Control Signals Systems, 17:101-127, 2005.
6. R. Engel and G. Kreisselmeier. A continuous-time observer which converges in nite time. IEEE Trans. Automat. Contr., 47:1202-1204, 2002.
7. J. P. Gauthier, H. Hammouri and S. Othman. A simple observer for nonlinear systems applications to Bioreactors. IEEE Trans. Automat. Contr.. 37:875-880, 1992.
8. J. P. Gauthier and I. A. K. Kupka. Observability and observers for nonlinear systems. SIAM J. Control Optim., 32:975-994, 1994.
9. I. Haskara, U. Ozgiiner, and V. Utkin. On sliding mode observers via equivalent control approach. Int. J. Contr., 71:1051-1067, 1998.
10. R. Hermann and A. J. Krener. Nonlinear controllability and observability. IEEE Trans. on Automat. Contr., 22:728-740, 1977.
11. Y. Hong. Finite-time stabilization and stabilizability of a class of controllable systems. Syst. Control Lett., 46:231-236, 2002.
12. A. Isidori. Nonlinear Control Systems, 3rd ed.. New York: Springer-Verlag, 1995.
13. N. Kazantzis and C. Kravaris. Nonlinear observer design using Lyapunov's auxiliary theorem. Syst. Control Lett.. 34:241-247, 1998.
14. H. K. Khalil and F. Esfandiari. Semiglobal stabilization of a class of nonlinear systems using output feedback, IEEE Trans. Automat. Contr., 38:1412-1415, 1993.
15. S. R. Kou, D. L. Elliott and T. J. Tarn. Exponential observers for nonlinear dynamic systems. Inform. Control. 29: 204-216, 1975.
16. A. J. Krener and A. Isidori. Linearization by output injection and nonlinear observers. Syst. Control Lett.. 3:47-52, 1983.
17. A. J. Krener, Nonlinear stabilizability and detectability, in Systems and Networks: Mathematical Theory in Nonlinear Control Theory (Reidel, Dordrecht), 89-98, 1986.
18. A.J. Kerner and W. Respondek. Nonlinear observers with linear dynamics. SIAM J. Control Optim.. 23: 197-216, 1985.
19. P.H. Menold, R. Findeisen and F. Allgower. Finite time convergent observers for linear time-varying systems. Proceedings of the 11th Mediterranean Conference on Control and Automation (MED'03), Rhodos, Greece, T7-078, 2003.
20. P.H. Menold, R. Findeisen and F. Allgower. Finite time convergent observers for nonlinear systems. Proceedings of the 42nd IEEE Conference on Decision and Control, Hyatt Regency Maui, Hawaii, USA, 5673-5678, 2003.
21. H. Michalska and D. Mayne. Moving horizon observers and observer-based control. IEEE Trans. Automat. Contr, 40:995-1006, 1995.
22. E. Moulay, W. Perruquetti and T. Floquet. Finite time observers and secure communication. preprint, 2007.
23. H. Nijmeijer and T. I. Fossen. New directions in nonlinear observer design, Springer, Berlin, lecture notes in control and information sciences, Vol.244, 1999.
24. C. Qian and W. Lin. Non-lipschitz continuous stabilizer for nonlinear systems with uncontrollable unstable linearization. Syst. Control Lett., 42:185-200, 2001.
25. S. Raghavan and J. K. Hedrick. Observer design for a class of nonlinear systems. Int. J. Control, 59:515-528, 1994.
26. R. Rajamani, Y. Cho. Existence and design of observers for nonlinear systems: relation to distance to unobservability. Int. J. Control, 69:717-731, 1998.
27. F. Sauvage, M. Guay and D. Dochain. Design of a non- linear nite-time converging observer for a class of nonlinear systems. J. of Control Science and Engineering, 2007:1-9, 2007.
28. H. Shim, Y. I. Son and J. H. Seo. Semi-global observer for multi-output nonlinear systems. Syst. Control Lett., 42:233-244, 2001.
29. A. Teel and L. Praly. Global stabilizability and observability imply semi-global stabilizability by output feedback. Syst. Control Lett., 22:313-325, 1994.
30. F.E. Thau. Observing the state of nonlinear dynamic systems, Int. J. Control, 18:471-479, 1973.
31. X-H. Xia and W-B. Gao. Nonlinear observer design by observer error linearization. SIAM J. Control Optim., 27:199-216, 1989.
32. X-H. Xia and W-B. Gao. On exponential observers for nonlinear systems. Syst. Control Lett., 11:319-325, 1988.
33. X. Xia and M. Zeitz. On nonlinear continuous observers. Int. J. Control, 6:943-954, 1997.
34. M. Zeitz. The extended Luenberger observer for nonlinear systems. Syst. Control Lett., 9:149-156, 1987.