Transverse feedback linearization of multi-input systems

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 4897-4902

  Nielsen, Christopher ^a   Maggiore, Manfredi ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; FEEDBACK CONTROL; LINEARIZATION; PROBLEM SOLVING;

CONTROLLED INVARIANT MANIFOLDS; FEEDBACK LINEARIZING DYNAMICS TRANSVERSE; MULTI-INPUT CONTROL AFFINE SYSTEMS;

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 33847238743     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582937     Document Type: Conference Paper

References (14)

1. V. Bushenkov and G. Smirnov, "Stabilization of sets," Journal of Computer and Systems Sciences International, vol. 32, no. 3, pp. 17 - 34, 1994.
2. Y. Lin, E. Sontag, and Y. Wang, "Input to state stabilizability for parameterized families of systems," International Journal of Robust and Nonlinear Control, vol. 5, no. 3, pp. 187 - 205, 1995.
3. A. Shiriaev and A. Fradkov, "Stabilization of invariant sets for nonlinear non-affine systems," Automatica, vol. 36, no. 11, pp. 1709 - 1715, 2000.
4. A. Banaszuk and J. Hauser, "Feedback linearization of transverse dynamics for periodic orbits," Systems and Control Letters, vol. 26, no. 2, pp. 95-105, Sept. 1995.
5. C. Nielsen and M. Maggiore, "Maneuver regulation via transverse feedback linearization: Theory and examples," in Proceedings of the IFAC Symposium on Nonlinear Control Systems (NOLCOS), Stuttgart, Germany, September 2004.
6. th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Leuven, Belgium, July 2004.
7. V. Guillemin and A. Pollack, Differential Topology. New Jersey: Prentice Hall, 1974.
8. M. W. Hirsch, Differential Topology. New York: Springer-Verlag, 1976.
9. J. Ferrer, M. I. García, and F. Puerta, "Differentiable families of subspaces," Linear algebra and its applications, no. 199, pp. 229-252, 1994.
10. P. Brunovský, "A classifi cation of linear controllable systems," Kybernetika, vol. 3, no. 6, pp. 173-187, 1970.
11. rd ed. New York: Springer-Verlag, 1985.
12. C. Nielsen and M. Maggiore, "Output stabilization and maneuver regulation: A geometric approach," Systems Control Letters, submitted, 2004.
13. A. Isidori, Nonlinear Control Systems II. London: Springer-Verlag, 1999.
14. rd ed. New York: Springer, 1995.