Exact feedforward linearization based on differential flatness

International Journal of Control

Volumn 76, Issue 6, 2003, Pages 537-556

  Hagenmeyer, Veit ^a   Delaleau, Emmanuel ^b,c  

^a UNIV PARIS SUD   (France)

^b Northeastern University   (United States)

^c UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTRIC DRIVES; SYSTEM STABILITY; THEOREM PROVING;

FLAT SYSTEMS;

LINEARIZATION;

EID: 0141518384     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/0020717031000089570     Document Type: Article

References (27)

1. BRUNOVSKÝ, P., 1970, A classification of linear controllable systems. Kybernetika, 3, 173-188.
2. CAZAURANG, F., 1997, Commande robuste des systèmes plats. Application à la commande d'une machine synchrone. Thèse de doctorat, Université de Bordeaux I (France).
3. CHELOUAH, A., DELALEAU, E., MARTIN, P., and ROUCHON, P., 1996, Differential flatness and control of induction motors. In P. Borne, M. Staroswiecki, J. P. Cassar and S. El Khattabi (eds) Proc. Symposium on Control, Optimization and Supervision; Computational Engineering in Systems Applications IMACS Multiconference, Lille, France, pp. 80-85.
4. DELALEAU, E., and RUDOLPH, J., 1998, Control of flat systems by quasi-static feedback of generalized states. International Journal of Control, 71, 745-765.
5. FLIESS, M., 1990, Generalized controller canonical forms for linear and nonlinear dynamics. IEEE Transactions on Automatic Control, 35, 994-1001.
6. FLIESS, M., LÉVINE, J., MARTIN, P., and ROUCHON, P., 1994, Nonlinear control and Lie-Bäcklund transformations: Toward a new differential geometric standpoint. In Proceedings of the 33th IEEE Conference on Decision Control, Lake Buena Vista, FL, USA, pp. 339-344.
7. FLIESS, M., LÉVINE, J., MARTIN, P., and ROUCHON, P., 1995, Flatness and defect of nonlinear systems: introductory theory and examples. International Journal of Control, 61, 1327-1361.
8. FLIESS, M., LÉVINE, J., MARTIN, P., and ROUCHON, P., 1999, A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Transactions on Automatic Control, 44, 922-937.
9. FLIESS, M., and MARQUEZ, R., 2000, Continuous-time linear predictive control and flatness: a module-theoretic setting with examples. International Journal of Control, 73, 606-623.
10. HAGENMEYER, V., and DELALEAU, E., 2002, Exact feedforward linearization based on differential flatness: the SISO case. In A. Zinober and D. Owens (Eds) Nonlinear and Adaptive Control, Vol. 281 of Lecture Notes Control Information Science (London: Springer), pp. 161-170.
11. HAGENMEYER, V., KOHLRAUSCH, P., and DELALEAU, E., 2000, Flatness based control of the separately excited DC drive. In A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek (Eds) Nonlinear Control in the Year 2000 (Vol. 1), Vol. 258 of Lecture Notes Control Information Science (London: Springer), pp. 439-451.
12. HAGENMEYER, V., RANFTL, A., and DELALEAU, E., 2002, Flatness-based control of the induction drive minimizing energy dissipation. In A. Zinober and D. Owens (Eds) Nonlinear and Adaptive Control, Vol. 281 of Lecture Notes Control Information Science (London: Springer), pp. 149160.
13. ISIDORI, A., 1995, Nonlinear Control Systems, 3rd edn (Berlin: Springer-Verlag).
14. JADOT, F., MARTIN, P., and ROUCHON, P., 2000, Industrial sensorless control of induction motors. In A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek (Eds) Nonlinear Control in the Year 2000 (Vol. 1), Vol. 258 of Lecture Notes Control Information Science (London: Springer), pp. 535544.
15. JAKUBCZYK, B., and RESPONDEK, W., 1980, On linearization of control systems. Bull. Acad. Pol. Sci. Sér. Sci. Math., 28, 517-522.
16. KELEMEN, M., 1986, A stability property. IEEE Transactions on Automatic Control, 31, 766-768.
17. KHALIL, H. K., 1996, Nonlinear Systems, 2nd edn (Upper Saddle River: Prentice-Hall).
18. KHALIL, H. K., and KOKOTOVIĆ, P. V., 1991, On stability properties of nonlinear systems with slowly varying inputs. IEEE Transactions on Automatic Control, 36, 229.
19. LAWRENCE, A. L., and RUGH, W. J., 1990, On a stability theorem for nonlinear systems with slowly varying inputs. IEEE Transactions on Automatic Control, 35, 860-864.
20. LEONHARD, W., 1996, Control of Electrical Drives, 2nd edn (Berlin: Springer).
21. LÉVINE, J., 1999, Are there new industrial perpectives in the control of mechanical systems? In P. Frank (Ed) Advances in Control (Highlights of ECC'99) (London: Springer-Verlag), pp. 197-226.
22. LÉVINE, J., LOTTIN, J., and PONSART, J. C., 1996, A nonlinear approach to the control of magnetic bearings. IEEE Transactions on Control Systems Technology, 4, 545-552.
23. MARTIN, P., MURRAY, R., and ROUCHON, P., 2000, Flat systems, equivalence and feedback. In A. Baños, F. Lamnabhi-Lagarrigue and F. Montoya (Eds) Advances in the Control of Nonlinear Systems, Vol. 264 of Lecture Notes Control Information Science (London: Springer), pp. 5-32.
24. NIJMEIJER, H., and VAN DER SCHAFT, A. J., 1990, Nonlinear Dynamical Control Systems (New York: Springer).
25. REBOULET, C., and CHAMPETIER, C., 1984, A new method for linearizing non-linear systems: the pseudolinearization. International Journal of Control, 40, 631-638.
26. RUDOLPH, J., 1995, Well-formed dynamics under quasi-static feedback. In B. Jakubczyk, W. Respondek and T. Rzezuchowski (Eds) Geometry in Nonlinear Control and Differential Inclusions (Warszawa: Banach Centre, Poland), pp. 349-360.
27. SIRA-RAMÍREZ, H., 2000, Sliding mode control of the PPR mobile robot with a flexible join. In A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek (Eds) Nonlinear Control in the Year 2000 (Vol. 2), Vol. 259 of Lecture Notes Control Information Science (London: Springer), pp. 421-442.