Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties

IEEE Transactions on Automatic Control

Volumn 51, Issue 12, 2006, Pages 1950-1956

  Hong, Yiguang ^a   Jiang, Zhong Ping ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Dynamic uncertainties; Finite time convergence; Input to state stability (ISS); Nonsmooth feedback; Parametric uncertainties

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

DYNAMIC UNCERTAINTIES; FINITE-TIME CONVERGENCE; INPUT-TO-STATE STABILITY; NONSMOOTH FEEDBACK;

NONLINEAR CONTROL SYSTEMS;

EID: 33845748252     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.886515     Document Type: Article

References (26)

1. E. Beckenbach and R. Bellman, Inequalities. Berlin, Germany: Springer-Verlag, 1971.
2. S. Bhat and D. Bernstein, "Continuous finite-time stabilization of the translational and rotational double, integrators," IEEE Trans. Autom. Control, vol. 43, no. 5, pp. 678-682, May 1998.
3. S. Bhat and D. Bernstein, "Finite-time stability of continuous autonomous system," SIAM J. Control Optim, vol. 38, pp. 751-766, 2000.
4. A Filippov, Differential Equations with Discontinuous Right Hand Side. Dordrecht, The Netherlands: Kluwer, 1988.
5. R. Freeman and P. Kokotović, Robust Nonlinear Control Design. Boston, MA: Birkhaüser, 1996.
6. A. Isidori, Nonlinear Control System. New York: Springer- Verlag, 1999, vol. II.
7. Y. Hong, "Finite-time stabilization and stabilizability of a class of controllable systems," Syst. Control Lett., vol. 46, pp. 231-236, 2002.
8. Y. Hong, J. Wang, and D. Cheng, "Adaptive finite-time control of a class of uncertain nonlinear system," IEEE Trans. Autom. Control, vol. 51, no. 5, pp. 858-862, May 2006.
9. Y. Hong and J. Wang, "Finite time stabilization of a class of nonlinear system," in Proc. Int. Conf. Control, Automat., Robot. Visions (ICARCV), Dec. 2004, pp. 357-362.
10. J. Huang, Nonlinear Output Regulation: Theory and Applications. Philadelphia, PA: SIAM, 2004.
11. X. Huang, W. Lin, and B. Yang, "Global finite-time stabilization of a class of uncertain nonlinear system," Automaica, vol. 41, pp. 881-888, 2005.
12. Z. P. Jiang and L. Praly, "Design of robust adaptive controllers for nonlinear system with dynamic uncertainties," Automatica, vol. 34, pp. 835-840, 1998.
13. Z. P. Jiang and I. Mareels, "Robust nonlinear integral control." IEEE Trans. Autom. Control, vol. 46, no. 11, pp. 1336-1342, Nov. 2001.
14. H. Khalil, Nonlinear System, 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002.
15. P. V. Kokotović and Arcak, "Constructive nonlinear control: A historical perspective," Automatica, vol. 37, no. 5, pp. 637-662, 2001.
16. M. Krstic, I. Kanellakopoulos, and P. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
17. R. Marino and P. Tomei, Nonlinear Control Design: Geometric, Adaptive, Robust. New York: Wiley, 1995.
18. D. Nesic and A. R. Teel, "Input to state stability of networked control system." Automatica, vol. 40, pp. 2121-2128, 2004.
19. Y. Orlov, "Finite time stability and robust control synthesis of uncertain switched system," SIAM J. Control Optim., vol. 43, pp. 1253-1271, 2005.
20. L. Praly, B. d'Andrea-Novel, and J. M. Coron, "Lyapunov design of stabilizing controllers for cascade system," IEEE Trans. Autom. Control, vol. 36, no. 10, pp. 1177-1181, Oct. 1991.
21. J. M. Coron and L. Praly, "Adding one integrator for the stabilization problem," Syst. Control Lett., vol. 17, pp. 89-104, 1991.
22. M. Tzamtzi and J. Tsinias, "Explicit formulas of feedback stabilizers for a class of triangular system with uncontrollable linearization," Syst. Control Lett., vol. 38, pp. 115-126, 1999.
23. E. Sontag, "On the input-to-state stability property," Eur. J. Control, vol. 1, pp. 24-36, 1995.
24. E. Sontag and A. Teel, "Changing supply functions in input/state stable system," IEEE Trans. Autom. c Control, vol. 40, no. 12, pp. 1476-1478, Dec. 1995.
25. E. Sontag and Y. Wang, "New characterization of input to state stability," IEEE Trans. Autom. Control, vol. 41, no. 11, pp. 1283-1294, Nov. 1996.
26. J. Tsinias, "Partial-state global stabilization for general triangular sytems," Syst. Control Lett., vol. 24, pp. 139-145, 1995.