Lyapunov functions for stable cascades and applications to global stabilization

IEEE Transactions on Automatic Control

Volumn 44, Issue 9, 1999, Pages 1795-1800

  Mazenc, F ^a   Sepulchre, R ^b   Jankovic, M ^c  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF LIÈGE   (Belgium)

^c FORD RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CASCADE CONTROL SYSTEMS; LYAPUNOV METHODS; SYSTEM STABILITY;

GLOBAL STABILIZATION;

NONLINEAR CONTROL SYSTEMS;

EID: 0032594179     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.788556     Document Type: Article

References (16)

1. D. H. Jacobson, Extensions of Linear-Quadratic Control, Optimization and Matrix Theory. New York: Academic, 1997.
2. M. Jankovic, R. Sepulchre, and P. V. Kokotović, "Constructive Lyapunov stabilization of nonlinear cascade systems," IEEE Trans. Automat. Contr., vol. 41, pp. 1723-1735, Dec. 1996.
3. Z. P. Jang and I. Mareels, "A small gain method for nonlinear cascaded systems with dynamic uncertainties," IEEE Trans. Automat. Contr., vol. 42. pp. 292-308, Mar. 1997.
4. V. Jurdjevic and J. P. Quinn, "Controllability and stability," J. Differential Equations, vol. 4, pp. 381-389, 1978.
5. 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.
6. R. Sepulchre, M. Jankovic, and P. V. Kokotović, Constructive Nonlinear Control. New York: Springer-Verlag, 1997.
7. R. Ortega, "Passivity properties for stabilization of nonlinear cascade systems," Automatica, vol. 29, pp. 423-424, 1991.
8. E. Panteley, "Global uniform asymptotic stability of cascade time-varying nonlinear systems: Case study," in Proc. 35th IEEE Conf. Decision and Control, Kobe, Japan, 1996.
9. E. Panteley and A. Loria, "Global uniform asymptotic stability of cascaded nonautonomous nonlinear systems," in Proc. 4th European Control Conf., Brussels, Belgium, 1997.
10. A. Saberi, P. V. Kokotović, and H. J. Sussman, "Global stabilization of partially linear systems," SIAM J. Contr. and Optimization, vol. 28, pp. 1491-1503, 1990.
11. P. Seibert and R. Suarez, "Global stabilization of nonlinear cascaded systems," Syst. Contr. Lett., vol. 14, pp. 347-352, 1990.
12. E. D. Sontag, "Remarks on stabilization and input-to-state stability," in Proc. 28th Conf. Decision and Control, Tampa, FL, 1989, pp. 1376-1378.
13. H. J. Sussmann, E. D. Sontag, and Y. Yang, "A general result on the stabilization of linear systems using bounded controls," IEEE Trans. Automat. Contr., vol. 39, pp. 2411-2425, 1994.
14. A. Teel, "Feedback stabilization: Nonlinear solutions to inherently nonlinear problems," Memo. UCB/ERL M92/65, June 12, 1992.
15. _, "Using saturation to stabilize a class of single-input partially linear composite system," in Proc. Nolcos, Bordeaux, France, June 24-26, 1992.
16. _, "A nonlinear small gain theorem for the analysis of control systems with saturation," IEEE Trans. Automat. Contr., vol. 41, Sept. 1996.