About the existence of locally Lipschitz output feedback stabilizers for nonlinear systems

SIAM Journal on Control and Optimization

Volumn 48, Issue 5, 2009, Pages 3389-3402

  Isidori, A ^a   Praly, L ^b   Marcon, L ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b PSL RESEARCH UNIVERSITY   (France)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Locally lipschitz regulators; Nonlinear observers; Nonlinear output regulation; Output stabilization; Robust control

Indexed keywords

ROBUST CONTROL;

AUTONOMOUS SYSTEMS; LOCALLY LIPSCHITZ; NON-LINEAR OBSERVER; NONLINEAR OUTPUT REGULATION; OUTPUT FEEDBACK; OUTPUT FEEDBACK CONTROLLER; OUTPUT STABILIZATION; REGULARITY PROPERTIES;

FEEDBACK;

EID: 79953159322     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/080741677     Document Type: Article

References (11)

1. V. ANDRIEU, Bouclage de sortie et observateur, Thèse dedoctoratdel'École des Mines de Paris en Mathematiques et Automatique, Fontainebleau, France, 2005.
2. V. ANDRIEU and L. PRALY, On the existence of a Kazantzis-Kravaris/Luenberger observer, SIAM J. Control Optim., 45(2006), pp. 432-456.
3. F. DELLI PRISCOLI, A. ISIDORI, and L. MARCONI, Output regulation with redundant measurements, SICE J. Control Measurement System Integration, 1(2008), pp. 92-101.
4. H. FEDERER, Geometric Measure Theory, Springer-Verlag, New York, 1969 (reprint in 1996).
5. J. P. GAUTHIER and I. KUPKA, Deterministic Observation Theory and Applications, Cambridge University Press, Cambridge, UK, 2001.
6. R. HERMANN and A. J. KRENER, Nonlinear controllability and observability, IEEE Trans. Automat. Control, 22(1977), pp. 728-740.
7. L. MARCONI and L. PRALY, Essential and redundant internal models in nonlinear output regulation, in Analysis and Design of Nonlinear Control Systems, A. Astolfi and L. Marconi, eds., Springer-Verlag, Berlin, 2007, pp. 125-146.
8. L. MARCONI and L. PRALY, Uniform practical output regulation, IEEE Trans. Automat. Control, 53 (2008) pp. 1184-1202.
9. I. MARCONI, A. ISIDORI, and L. PRALY, Robust asymptotic stabilization of nonlinear systems with non-hyperbolic zero dynamics, IEEE Trans. Automat. Control, to appear.
10. L. MARCONI, L. PRALY, and A. ISIDORI, Output stabilization via nonlinear Luenberger observers, SIAM J. Control Optim., 45(2007), pp. 2277-2298.
11. L. MARCONI and L. PRALY, Some results on robust output feedback stabilization of nonlinear systems, in Proceedings of the 7th IFAC NOLCOS 2007, Pretoria, South Africa, 2007, pp. 551-556.