Control via state estimations of some nonlinear systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 37, Issue 13, 2004, Pages 41-48

  Fliess, Michel ^a,c   Sira Ramírez, Hebertt ^a,b  

^a ECOLE POLYTECHNIQUE   (France)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

^c INRIA   (France)

Author keywords

Fiat systems; Nonlinear observability; State estimation

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS; NONLINEAR SYSTEMS; OBSERVABILITY; ROBUSTNESS (CONTROL SYSTEMS); STATE ESTIMATION; STATE FEEDBACK;

ASYMPTOTIC ESTIMATION; ASYMPTOTIC OBSERVER; CONTROL STRATEGIES; KALMAN-FILTERING; NONLINEAR OBSERVABILITY; REFERENCE TRAJECTORIES; STATE ESTIMATORS; STATISTICAL PROPERTIES;

NONLINEAR ANALYSIS;

EID: 85053674254     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)31198-9     Document Type: Conference Paper

References (36)

1. M. Atiyah, I. McDonald, 1969, Introduction to Commutative Algebra, Addison-Wesley, Reading, MA.
2. A. Buium, 1994, Differential Algebra and Diophantine Geometry, Hermann, Paris.
3. B. Delaleau, 2002, "Algtbre différentielle", in Mathimatiques pour les systemes dynamiques, J. P. Richard, Ed., vol. 2, chap. 6, pp. 245-268, Hermes, Paris.
4. st Europ. Control Conf., Hermes, Paris, pp. 152-157.
5. th IEEE Conf. Decision Control, Brighton, pp. 714-719.
6. th Conf. Decision Control, Orlando, PL.
7. th Conf. Decision Control, Sidney.
8. S. Diop, J. W. Grizzle, P. E. Moraal, A. Stefanopoulou, 1994, "Interpolation and numerical differentiation for observer design", Proc. Amer. Control Conf., Baltimore, pp. 1329-1333.
9. X. Fan, M. Arcak, 2003, "Observer design for systems with multi variable monotone noullocalities", Systems Control Lett., 50, 319-330.
10. M. Fliess, 2000, "Variations but la notion de controlabilile", in Journée Soc. math. France, Paris, pp. 47-86.
11. M. Fliess, C. Join, M. Mboup, H. Sira-Ramirez, 2004, "Compression diflfeVentielle de transitoires bruites", to appear.
12. M. Fliess, C. Join, H. Mourner, 2004, "An introduction to nonlinear fault diagnosis with an application to a congested internet router", in Advances in Communication Control Networks, C. T. Abdallah, J. Chiasson, S. Tabouriech, Fjds, Lect. Notes Control Inform. Sci., Springer, London.
13. M. Fliess, C. Join, H. Sira-Ramirez, 2004, "Robust residual generation For linear fault diagnosis: an algebraic setting with examples", Internal. J. Control. to appear.
14. M. Fliess, J. Lévine, P. Martin, P. Rouchon, 1995a, "Flatness and defect of non-linear systenis: introductory theory and examples", Internal. J. Control, 81, 1327-1361.
15. rd Europ. Control Conf., Rome, pp. 1882-1887.
16. M. Fliess, J. Levine, P. Martin, P. Rouchon, 1999, "A Lie-Backlund approach to equivalence and flatness of nonlinear systems", IEEE Trans. Automat. Control, 44, 922-937.
17. M. Fliess, M. Mboup, H. Mounier, H. Sira-Ramfrez, 2003, "Questioning some paradigms of signal processing via concrete examples", in Algebraic Methods in Flatness, Signal Processing and State Estimation, H. Sira-Ramírez, G. Silva-Nararro, KEds., pp. 1-21, Rditiorial Lagares, Mexico.
18. M. Fliess, H. Sira-Ramirez, 2003, "An algebraic framework for linear identification", ESAIM Control Optim. Colc. Variat., 9, 151-168.
19. M. Fliess, H. Sira-Ramfrez, 2004, "Reconstructeurs d'etats", C. R. Acad. Sci. Paris, Série I, 338, 91-96.
20. S. Ibrir, 2004, "Linear time-derivatives trackers", Automatica, 40, 397-405.
21. nd ed., Springer, New York.
22. L. Jaulin, M. Kieffer, O. Didrit, E. Walter, 2001, Applied Interval Analysis, with Examples in Parameter and Stale Estimation, Robust Control, and Robotics, Springer, London.
23. E. R. Kolchin, 1973, Differential Algebra and Algebraic Groups, Academic Press, New York.
24. C. Lanczos, 1957, Applied Analysis, Prentice Hall, Englewood Cliffs, NJ.
25. H. Nijmeijer, T. I. Fossen, Eds, 1999, New Directions in Nonlinear Observer Design, Lect. Notes Control Informat. Sci. 244, Springer, London.
26. H. Nijmeijer, A. J. van der Schaft, 1990, Nonlinear Dynamicol Control Systems, Springer, New York.
27. th Europ. Control Conf., Karlsruhe.
28. K. Robenack, 2003, Beobachterentururf für nichtlineare Zu standssysteme mil Hilfe des Automatischen Differen zierens, Shaker Verlag, Aaachen.
29. J. Rudolph, 2003a, Beitrage zur flacheitsbasierten Polgeregelung linearer und nicftlinearer Sytetne endticher und undenditcher Dimension, Shaker Verlag, Aachen.
30. J. Rudolph, 2003b, Flatness Based Control of Distributed Parameter Control, Shaker Verlag, Aaachen.
31. J. Rudolph, J. Winkler, F. Woittennek, 2003, Flatness Based Control of Distributed Parameter Systems: Computer Exercises from Various Technological Domains, Shaker Verlag, Aachen.
32. S. Sastry, 1999, Nonlinear Systems - Analysis, Stability, and Control, Springer, New York.
33. nd ed., Hermann, Paris.
34. H. Sira-Ramírez, S. Agrawal, 2004, Differentially Flat Systems, Marcel Dekker, New York.
35. rd IEEE Conf. Decision Control, Atlantis, Bahamas.
36. M. S. Suarez-Castanon, C. Agnilar-Ibanez, F. Flores-Ando, 2003, "Reconstructing the states and parameters of Chua's system based on successive integrations of the output", Physics Lett. A, 317, 265-274.