Adding integrations, saturated controls, and stabilization for feedforward systems

IEEE Transactions on Automatic Control

Volumn 41, Issue 11, 1996, Pages 1559-1578

  Mazenc, Frédéric ^a,b   Praly, Laurent ^b  

^a IEEE

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DEGREES OF FREEDOM (MECHANICS); FEEDBACK CONTROL; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; PROBLEM SOLVING; RECURSIVE FUNCTIONS;

FEEDFORWARD SATURATED CONTROLS;

CONTROL SYSTEM SYNTHESIS;

EID: 0030287289     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.543995     Document Type: Article

References (30)

1. A. Bacciotti, Local Stabilizability of Nonlinear Control Systems, vol. 8. Math. Appl. Scis., 1992.
2. Y. Bibikov, Local Theory of Nonlinear Analytic Ordinary Differential Equations. New York: Springer-Verlag, 1979.
3. V. A. Brusin, "Global stabilization of the inverted pendulum on the cart," Krasnoflotskaya 65 NABI, 603000, Nizhny Novgorod, Russia, Rep. Nizhny Novgorod Architectural Building Inst., 1992.
4. J.-M. Coron, "Linearized control systems and its applications to smooth stabilization," SIAM. J. Optimization Contr., vol. 32, no. 2, pp. 358-386, Mar. 1994.
5. J.-M. Coron and L. Praly, "Transfert orbital à l'aide de moteurs ioniques," Rapport Sci. Tec/PF/R 1442, Contrat CNES, Dec. 1995.
6. P. Deheuvels, L'intégrale. Paris: Univ. France Press, 1980.
7. A. V. Fiacco and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques. New York: Wiley, 1968.
8. F. R. Gantmacher, Théorie des Matrices, vol. 1. Paris: Dunod, 1966.
9. D. H. Jacobson, Extensions of Linear Quadratic Control, Optimization and Matrix Theory. New York: Academic, 1977.
10. M. J. Jankovic, R. Sepulchre, and P. V. Kokotovic, "Global stabilization of an enlarged class of cascade nonlinear systems," IEEE Trans. Automat. Contr., submitted.
11. V. Jurdjevic and J. P. Quinn, "Controllability and stability," J. Differential Equations, vol. 4, pp. 381-389, 1978.
12. H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
13. M. Krstic, I. Kanellakopoulos, and P. Kokolovic. Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
14. K. K. Leea and A. Arapostathis, "Remarks on smooth feedback stabilization of nonlinear systems," Syst. Contr. Lett., vol. 10, pp. 41-44, 1988.
15. S. Lefschetz, Differential Equations: Geometric Theory. New York: Dover, 1977.
16. W. Lin, "Input saturation and global stabilization by output feedback for affine systems," in Proc. 33rd IEEE Conf. Decision Contr., Dec. 1994.
17. F. Mazenc, "Stabilization de trajectoires, ajout d'intégration, commande saturées," Ph.D. dissertation, École des Mines de Paris, 1996.
18. F. Mazenc and L. Praly, "Adding an integration and global asymptotic stabilization of feedforward systems," in Proc. 33rd IEEE Conf. Decision Contr., Dec. 1994.
19. L. Praly, G. Bastin, J.-B. Pomet, and Z. P. Jiang, "Adaptive stabilization of nonlinear systems," in Foundations of Adaptive Control, P. V. Kokotovic, Ed. Berlin: Springer-Verlag, 1991.
20. E. P. Ryan, "Adaptive stabilization of multi-input nonlinear systems," Int. J. Robust Nonlinear Contr., vol. 3, pp. 169-181, 1993.
21. A. Saberi, P. V. Kokotovic, and H. J. Sussmann, "Global stabilization of partially linear composite systems," Siam J. Contr. Optimization, vol. 28, no. 6, pp. 1491-1503, Nov. 1990.
22. E. D. Sontag, "Remarks on stabilization and input-to-state stability," in Proc. 28th IEEE Conf. Decision Contr., Dec. 1989, pp. 1376-1378.
23. E. D. Sontag and H. J. Sussmann, "Nonlinear output feedback design for linear systems with saturating controls," in Proc. 29th IEEE Conf. Decision Contr., Dec. 1990.
24. A. Teel, "Using saturation to stabilize a class of single-input partially linear composite systems," in Proc. Nolcos, Bordeaux, France, June 24-26, 1992.
25. _, "Feedback stabilization: Nonlinear solutions to inherently nonlinear problems," Memorandum no. UCB/ERL M92/65, June 12, 1992.
26. _, "Additional stability results with bounded controls," in Proc. 33rd IEEE Conf. Decision Contr., Dec. 1994.
27. _, "A nonlinear small gain theorem for the analysis for control systems with saturation," IEEE Trans. Automat. Contr., to appear.
28. J. Tsinias, "Sufficient Lyapunov-like conditions for stabilization," Math. Contr. Signals Syst., vol. 2, pp. 343-357, 1989.
29. Y. Yang, "Global stabilization of linear systems with bounded feedback," Ph.D. dissertation, Math. Dept., Rutgers Univ., 1993.
30. T. Yoshizawa, Stability Theory by Lyapunov's Second Method. Japan: Math. Soc., 1966.