Abstract
The aim of this paper is to extend the class of nonlinear systems for which an observer dynamical system can be constructed. For this we classify all nonlinear systems which can be steered by a change of coordinates to some “observable” form.
Keywords
J. DE LEON MORALES is sponsored by CONACYT-MEXICO
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G. BORNARD, N. COUENNE, F. CELLE. “Regularly persistent observers for bilinear systems”. Proceedings of the 29 international conference on nonlinear systems. — New trends in nonlinear system theory” Vol 122 Springer Verlag, June 1988.
D. BOSSANE, D. RAKOTOPARA, J.P. GAUTHIER.” Local and global immersion into linear systems up to output injection.” Submitted to MCSS.
F. CELLE, J. P. GAUTHIER, D. KASAKOS, G. SALLET. “Synthesis of nonlinear observers: A Harmonic-analysis approch” Math. Systems Theory, 22, 1989.
M. FLIESS, I. KUPKA. “A finiteness criterion for nonlinear input-output differential systems”. SIAM J. on Control and Opt. Vol. 21, N° 25.
H. HAMMOURI. F. CELLE. “Some results on nonlinear systems equivalance.” J. Conf. on new Trends in Systems T, Genova, Italy. July 1990
H. HAMMOURI, J. P. GAUTHIER.“Bilinearization up to output injection” System and Control Letters 11,1988, pp 139–149.
H. HAMMOURI, J. P. GAUTHIER. “The time varing linearization up to output injection”. 28th CDC, Tampa Florida. Dec. 13–15,1989.
H. HAMMOURI, J. P. GAUTHIER. “A global time varing linearization up to output injection” Submitted to S.I.A.M. Journal of Control and Optimization.
H. HAMMOURI, J. DE LEON M. “Observer synthesis for state-affine systems” Submitted to 29th CDC, Honolulu, Hawai. Dec. 5–7,1990
A. J. KRENER, A. ISIDORI. “Linearization by output injection and nonlinear observers” Systems and Control Letters. 3,1985, pp 47–52.
J. LEVINE, R. MARINO. “Nonlinear systems immersion, observers and finite dimension filters.” Systems and Control Let. 7,1986, pp.133 -142.
E. H. SPANIER. “Algebraic Topology, T. M. H. edition. 1977.
D. WILLIAMSON. “Observability of bilinear systems, with applications to biological control” Automatica 13,1977, pp. 243–254.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hammouri, H., De Leon Morales, J. (1991). On Systems Equivalence and Observer Synthesis. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_42
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0439-8_42
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
eBook Packages: Springer Book Archive