Global asymptotic stabilization of feedforward systems with delay in the input

IEEE Transactions on Automatic Control

Volumn 49, Issue 5, 2004, Pages 844-850

  Mazenc, F ^a   Mondie S ^b   Francisco, R ^b  

^a INRIA   (France)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

Delay; Feedforward systems; Nonlinear; Stabilization

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK; FUNCTIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; VECTORS;

DELAY; FEEDFORWARD SYSTEMS; GLOBAL ASYMPTOTIC STABILIZATION;

NONLINEAR SYSTEMS;

EID: 2942564548     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.828313     Document Type: Article

References (15)

1. J. K. Hale and S. M. V. Lunel, "Introduction to functional differential equations," in Applied Math, Sciences, 99. New York: Springer-Verlag, 1993.
2. M. Jankovic, "Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems," IEEE Trans. Automat. Contr., vol. 46, pp. 1048-1060, July 2001.
3. M. Jankovic, R. Sepulchre, and P. V. Kokotovic, "Global stabilization of an enlarged c lass of cascade nonlinear systems," IEEE Trans. Automat. Contr., vol. 41, pp. 1723-1735, Dec. 1996.
4. L. Marconi and A. Isidori, "Robust global stabilization of a class of uncertain feedforward nonlinear systems," Syst. Control Lett., vol. 41, pp. 281-290, 2000.
5. N. N. Krasovskii, Stability of Motion. Stanford, CA: Stanford Univ. Press, 1963.
6. F. Mazenc and S. Bowong, "Tracking trajectories of the cart-pendulum system," Automatica, vol. 39, pp. 677-684, 2003.
7. F. Mazenc, S. Mondié, and S. Niculescu, "Global asymptotic stabilization for chains of integrators with a delay in the input," IEEE Trans. Automat. Contr., vol. 48, pp. 57-63, Jan. 2003.
8. ____, "Global stabilization of oscillators with bounded delayed input," in 41st IEEE Conf. Decision Control, Las Vegas, NV, 2002.
9. F. Mazenc and L. Praly, "Adding an integration and global asymptotic stabilization of feedforward systems," IEEE Trans. Automat. Contr., vol. 41, pp. 1559-1578, Nov. 1996.
10. W. Michiels, R. Sepulchre, and D. Roose, "Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems," in SIAM J. Control Optim., vol. 40, 2002, pp. 661-680.
11. S. Niculescu, Delays Effects on Stability, A Robust Control Approach. Heidelberg, Germany: Springer-Verlag, 2001.
12. R. Sepulchre, M. Jankoviæ, and P. V. Kokotovic, Constructive Nonlinear Control. London, U.K.: Springer-Verlag, 1997.
13. A. R. Teel, "Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorems," IEEE Trans. Automat. Contr., vol. 43 pp. 960-964, July 1998.
14. ____, "A nonlinear small gain theorem for the analysis of control systems with saturation," IEEE Trans. Automat. Contr., vol. 41, pp. 1256-1270, Sept. 1996.
15. ____, "Global stabilization and restricted tracking for multiple integrators with bounded controls," Syst. Control Lett., vol. 18, pp. 165-171, 1992.