Backstepping with bounded feedbacks

Systems and Control Letters

Volumn 51, Issue 3-4, 2004, Pages 235-245

  Mazenc, F ^a   Iggidr, A ^a  

^a INRIA   (France)

Author keywords

Backstepping; Bounded feedback; Lyapunov function

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; POLYNOMIALS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

BACKSTEPPING; BOUNDED FEEDBACK; LYAPUNOV FUNCTION;

FEEDBACK;

EID: 1042265843     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2003.09.001     Document Type: Article

References (13)

1. Freeman R., Kokotovic P. Robust Nonlinear Control Design. 1996;Birkhauser, Boston.
2. Freeman R., Praly L. Integrators backstepping for bounded controls and control rates. IEEE Trans. Automat. Control. 43(2):1998;258-262.
3. Jankovic M.J., Sepulchre R., Kokotovic P.V. Global stabilization of an enlarged class of cascade nonlinear systems. IEEE Trans. Automat. Control. 41(12):1996;1723-1735.
4. Khalil H. Nonlinear Systems. 2nd Edition:1996;Prentice-Hall, Englewood Cliffs, NJ.
5. Kurzweil J. On the inversion of Liapunov's second theorem on stability of motion. AMS Trans. Ser. II. 24:1956;19-77.
6. LaSalle J.P. Some extensions of Lyapunov's second method. IRE Trans. Circuit Theory. CT-7(4):1960;520-527.
7. Mazenc F. Stabilization of feedforward systems approximated by a nonlinear chain of integrators. Systems Control Lett. 32(4):1997;223-229.
8. Mazenc F., Praly L. Adding an integration and global asymptotic stabilization of feedforward systems. IEEE Trans. Automat. Control. 41(11):1996;1559-1578.
9. Mazenc F., Vivalda J.C. Global asymptotic output feedback stabilization of feedforward systems. European J. Control. 8:2002;1-12.
10. Slotine J.-J.E., Li W. Applied Nonlinear Control. 1991;Prentice-Hall, Englewood Cliffs, NJ.
11. A. Teel, Using saturation to stabilize a class of single-input partially linear composite systems, Proceedings of the IFAC Nonlinear Control System Design Symposium, Bordeau, France, June 1992.
12. A. Teel, Feedback stabilization: nonlinear solutions to inherently nonlinear problems, Univ. California, Berkeley, CA, Technical Report UCB/ERLM92/65, June 1992.
13. Tsinias J. Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation. ESAIM: Control Optim. Calc. Vari. 2:1997;57-85.