Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 5, 2006, Pages 879-884

  Li, Ji ^a   Qian, Chunjiang ^a  

^a The University of Texas at San Antonio   (United States)

Author keywords

Continuous nonlinear systems; Global finite time stabilization; Output feedback control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; FINITE ELEMENT METHOD; GLOBAL OPTIMIZATION; NONLINEAR CONTROL SYSTEMS; OBSERVABILITY; STABILITY CRITERIA; TIME SERIES ANALYSIS;

GLOBAL FINITE-TIME STABILIZATION; OUTPUT FEEDBACK CONTROL;

CONTROL SYSTEM ANALYSIS;

EID: 33646917174     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.874991     Document Type: Article

References (14)

1. S. P. Bhat and D. S. Bernstein, "Geometric homogeneity with applications to finite-time stability," Math. Control, Signals, Syst., vol. 17, no. 2, pp. 101-127, 2005.
2. S. P. Bhat and D. S. 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. P. Bhat and D. S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM J. Control Optim., vol. 38, no. 3, pp. 751-766, 2000.
4. V. T. Haimo, "Finite-time controllers," SIAM J. Control Optim., vol. 24, no. 4, pp. 760-770, 1986.
5. G. Hardy, J. E. Littlewood, and G. Pólya, INEQUALITIES, 2nd ed: Cambidge Univ. Press, 1952.
6. Y. Hong, "Finite-time stabilization and stabilizability of a class of controllable systems," Syst. Control Lett., vol. 46, no. 4, pp. 231-236, 2002.
7. Y. Hong, J. Huang, and Y. Xu, "On an output feedback finite-time stabilization problem," IEEE Trans. Autom. Control, vol. 46, no. 2, pp. 305-309, Feb. 2001.
8. H. K. Khalil, "High-gain observers in nonlinear feedback control," in New Directions in Nonlinear Observer Design, H. Nijmeijer and T. I. Fossen, Eds. New York: Springer-Verlag, 1999.
9. E. Moulay and W. Perruquetti, "Finite time stability of nonlinear systems," in Proc. IEEE Conf. Decision and Control, 2003, pp. 3641-3646.
10. K. Ogata, Modern Control Engineering, 4th ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
11. C. Qian and J. Li, "Global finite-time stabilization by output feedback for planar systems without observable linearization," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 885-890, Jun. 2005.
12. C. Qian and W. Lin, "A continuous feedback approach to global strong stabilization of nonlinear systems," IEEE Trans. Autom. Control, vol. 46, no. 7, pp. 1061-1079, Jul. 2001.
13. C. Qian and W. Lin, "Recursive observer design and nonsmooth output feedback stabilization of inherently nonlinear systems," in Proc. IEEE Conf. Decision and Control, 2004, pp. 4927-4932.
14. E. R. Rang, "Isochrone families for second order systems," IEEE Trans. Autom. Control, vol. AC-8, no. 1, pp. 64-65, Jan. 1963.