Robust backstepping control for a class of time delayed systems

IEEE Transactions on Automatic Control

Volumn 50, Issue 6, 2005, Pages 894-899

  Hua, Changchun ^a   Guan, Xinping ^a   Shi, Peng ^b  

^a YANSHAN UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Backstepping method; Observer design; Time delay systems

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING CONTROL SYSTEMS;

BACKSTEPPING METHOD; OBSERVER DESIGN; TIME DELAY SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 21344472096     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.849255     Document Type: Article

References (20)

1. K. Gu, V. L. Kharitonov, and J. Chen, Stability of Time-Delay Systems. Berlin, Germany: Birkhäuser, 2003.
2. J. Chen, D. Xu, and B. Shafai, "On sufficient conditions for stability independent of delay," IEEE Trans. Autom. Control, vol. 40, no. 9, pp. 1675-1680, Sep. 1995.
3. C. Hua, C. Long, and X. Guan, "Robust stabilization of uncertain dynamic time delay systems with unknown bounds of uncertainties," in Proc. Amer. Control Conf., 2002, pp. 3365-3370.
4. C. Hua, X. Guan, and P. Shi, "Robust stabilization of a class of nonlinear time-delay systems," Appl. Math. Comput., vol. 155, no. 3, pp. 737-752, 2004.
5. C. H. Moog, R. Castro-Linares, M. Velasco-Villa, and L. A. Marquez-Matinez, "The disturbance decoupling problem for time delay nonlinear systems," IEEE Trans. Autom. Control, vol. 45, no. 2, pp. 305-309, Feb. 2000.
6. L. A. Marquez-Matinez and C. H. Moog, "Input-output feedback linearization of time-delay systems," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 781-786, May 2004.
7. A. Germani and C. Manes, "On the existence of the linearizing state-feedback for nonlinear delay systems," in Proc. Conf. Decision and Control, 2001, pp. 4628-4629.
8. C. Antoniades and P. D. Christofides, "Nonlinear feedback control of parabolic differential difference equation systems," Int. J. Control, vol. 73, no. 17, pp. 1572-1591, 2000.
9. M. Jankovic, "Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems," IEEE Trans. Autom. Control, vol. 46, no. 7, pp. 1048-1060, Jul. 2001.
10. M. Krstich, I. Kanellakopoulos, and P. V. Kokotovich, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
11. H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice-Hall, 1996.
12. S. K. Nguang, "Robust stabilization of a class of time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 756-762, Apr. 2000.
13. X. Guan and C. Hua, "Robust stabilization of a class of time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 907-908, May 2003.
14. Y. Fu, Z. Tian, and S. Shi, "State feedback stabilization for a class of stochastic time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 282-286, Feb. 2003.
15. C. Hua and X. Guan, "State feedback stabilization for a class of stochastic time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1216-1216, Jul. 2004.
16. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural network control of nonlinear systems with unknown time delays," IEEE Trans. Autom. Control, vol. 48, no. 11, pp. 2004-2010, Nov. 2003.
17. M. Malek-Zavarei and M. Jamshidi, Time-Delay Systems: Analysis, Optimization and Applications, ser. Systems and Control. Amsterdam, The Netherlands: North-Holland, 1987.
18. Z. Jiang, "Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems," Syst. Control Lett., vol. 39, pp. 155-164, 2000.
19. Z. Jiang, D. W. Repperger, and D. J. Hill, "Decentralized nonlinear output-feedback stabilization with disturbance attenuation," IEEE Trans. Autom. Control, vol. 46, no. 10, pp. 1623-1629, Oct. 2001.
20. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.