Input-output feedback linearization of time-delay systems

IEEE Transactions on Automatic Control

Volumn 49, Issue 5, 2004, Pages 781-786

  Marquez Martinez L A ^a   Moog, C H ^b  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

^b INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

Author keywords

Causal solutions; Dynamic compensator; Input output linearization; Nonlinear time delay systems; Output feedback; State feedback; Static compensator

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK;

CASUAL SOLUTIONS; DYNAMIC COMPENSATOR; INPUT-OUTPUT LINEARIZATION; OUTPUT FEEDBACK; STATIC COMPENSATOR; TIME DELAY SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 2942592712     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.825978     Document Type: Article

References (23)

1. M. Malabre and R. Rabah, "Structure at infinity, model matching and disturbance rejection for linear systems with delays," Kybernetika, vol. 29, pp. 485-498, 1993.
2. P. Picard, "Sur l'observabilité et la commande des systèmes linéaires à retards modélisés sur un anneau," Ph.D. dissertation, Univ. de Nantes, Nantes, France, 1996.
3. M. Dambrine, S. Niculescu, A. Goubet-Bartholoméüs L. Dugard, J. Richard, and J. Dion, "Stabilité et stabilization des systèmes à retard: Un tour d'horizon," in Actes du Colloque "Analyse et Commande des systèmes avec retards", 1996, pp. 79-100.
4. X. Mao, "Exponential stability of nonlinear differential delay equations," Syst. Control Lett., vol. 28, no. 3, pp. 159-165, July 1996.
5. M. Fliess, "Some remarks on nonlinear input-output systems with delays," in New Trends in Nonlinear Control Theory. New York: Springer-Verlag, 1989, vol. 122, ch. II, pp. 172-181.
6. H. Mounier and R. Rudolph, "Flatness based control of nonlinear delay systems: A chemical reactor example," Int. J. Control, vol. 71, pp. 871-890, 1998.
7. X. Xia, L. Márquez-Martínez, P. Zagalak, and C. Moog, "Analysis of nonlinear time-delay systems modules over noncommutative rings," Automatica, vol. 38, no. 9, pp. 1549-1555, 2002.
8. G. Conte, C. Moog, and A. Perdon, Nonlinear Control Systems: An Algebraic Setting, ser. Lect. Notes Control and Inf. Sciences. London, U.K.: Springer-Verlag, 1999, vol. 242.
9. A. Isidori, Nonlinear Control Systems, 2nd ed. Berlin, Germany: Springer-Verlag, 1989.
10. A. Isidori and A. Ruberti, "On the synthesis of linear input-output responses for nonlinear control systems," Syst. Control Lett., vol. 4, pp. 17-22, 1984.
11. A. Germani, C. Manes, and P. Pepe, "Linearization of input-output mapping for nonlinear delay systems via static state feedback," in Proc. Symp. Modeling Analysis Stimulation, Lille, France, 1996, pp. 599-602.
12. L. Márquez-Martínez and C. Mong, "On the input-output linearization of nonlinear time-delay systems," in Proc. IFAC Conf. Systems Structure Control, vol. 3, Nantes, France, 1998, pp. 575-580.
13. C. Moog, R. Castro-Linares, M. Velasco-Villa, and L. Márquez-Martínez, "Disturbance decoupling for time-delay nonlinear systems," IEEE Trans. Automat. Control., vol. 48, pp. 305-309, Feb. 2000.
14. L. El'sgol'ts and S. Norkin, Introduction to the Theory and Application of Differential Equations with Deviating Arguments. New York: Academic, 1973.
15. J. Loiseau, "A 2-d transfer without minimal realization," presented at the IMACS Int. Symp. Signal Processing, Robotics, Neural Networks, Lille, France, 1994.
16. R. Castro-Linares, C. Moog, and M. Velasco-Villa, "Bi-causal solutions to the disturbance decoupling problem for time-delay nonlinear systems," presented at the 36th IEEE Conf. Decision Control, San Diego, CA, Dec. 1997.
17. Y. Choquet-Bruhat, C. DeWitt-Morette, and M. Dillard-Bleick, Analysis, Manifolds and Physics, Rev. ed. Amsterdam, The Netherlands: Elsevier, 1982.
18. G. Conte and A. Perdon, "The disturbance decoupling problem for systems over a ring," SIAM J. Control Optim., vol. 33, no. 3, pp. 750-764, May 1995.
19. L. Márquez-Martínez, "Note sur l'accessibilité des systèmes non linéaires à retards," C.R. Acad. Sci. Paris, no. 329, pp. 545-550, 1999.
20. M. Fliess and H. Mounier, "Interpretation and comparison of various types of delay system controllabilities," in Proc. IFAC Conf. Systems Structure Control, Nantes, France, 1995, pp. 330-335.
21. F. Plestan, "Linéarization par injection d'entrée-sortie généralisée et synthèse d'observateurs," Ph.D. dissertation. Univ. de Nantes/Ecole Centrale de Nantes, Nantes, France, 1995.
22. X. Xia and C. Moog, "I/O linearization of nonlinear systems by output feedback," presented at the 35th Conf. Decision Control, Kobe, Japan, 1996.
23. L. Márquez-Martínez, "Analyse et commande de systèmes non linéaires à retards," Ph.D. dissertation, Univ. de Nantes/Ecole Centrale de Nantes, Nantes, France, 2000.