Approximation-based adaptive tracking control of pure-feedback nonlinear systems with multiple unknown time-varying delays

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 841-846

  Wang, Min ^a   Ge, Shuzhi Sam ^b,c  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP SYSTEMS; DELAY CONTROL SYSTEMS; FEEDBACK; LYAPUNOV FUNCTIONS; NAVIGATION; TIME DELAY;

ADAPTIVE TRACKING CONTROL; CONTINUOUS FUNCTIONS; LYAPUNOV-KRASOVSKII FUNCTIONALS; PURE-FEEDBACK NONLINEAR SYSTEMS; PURE-FEEDBACK SYSTEM; SEPARATION TECHNIQUES; TRACKING PERFORMANCE; UNKNOWN TIME-VARYING DELAYS;

TIME VARYING CONTROL SYSTEMS;

EID: 77950823814     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400312     Document Type: Conference Paper

References (26)

1. D. Seto, A. M. Annaswamy, and J. Baillieul, Adaptive control of nonlinear systems with a triangular structure, IEEE Trans. Autom. Control, 1994, 39: 1411-1428.
2. S. S. Ge, C. C. Hang, and T. Zhang, Adaptive neural network nontrol of nonlinear systems by state and output feedback, IEEE Trans. Syst., Man, Cybern.B, 1999, 29(6): 818-828.
3. S. S. Ge and C. Wang, Adaptive NN control of uncertain nonlinear pure-feedback systems, Automatica, 2002, 38: 671-682.
4. D. Wang and J. Huang, Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form, Automatica, 2002, 38: 1365-1372.
5. T. P. Zhang and S. S. Ge, Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form, Automatica, 2008, 44(7): 1895-1903.
6. C. Wang, D. J. Hill, S. S. Ge, and G.R. Chen, An ISS-modular approach for adaptive neural control of pure-feedback systems, Automatica, 2006, 42: 723-731.
7. S.-L. Niculescu, Delay Effects On Stability: A Robust Control Approach, London, U.K.: Springer-Verlag, 2001.
8. X. Jiao and T. Shen, Adaptive feedback control of nonlinear time-delay systems: The Lasalle-CRazumikhin-based approach, IEEE Trans. Automat. Contr., 2005, 50(11): 1909-1913.
9. C. Hua, G. Feng and X. Guan, Robust controller design of a class of nonlinear time delay systems via backstepping method, Automatica, 2008, 44(2): 567-573.
10. S. S. Ge , F. Hong, and T. H. Lee, Robust adaptive control of nonlinear systems with unknown time delays, Automatica, 2005, 41(7): 1181-1190.
11. S. J. Yoo, J. B. Park, and Y. H. Choi, Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays, IEEE Trans. Automat. Contr., 2007, 52(12): 2360-2365.
12. S. S. Ge, F. Hong, and T. H. Lee, Adaptive neural network control of nonlinear systems with unknown time delays, IEEE Trans. Automat. Contr., 2003, 48(11): 2004-2010.
13. S. S. Ge, F. Hong, and T. H. Lee, Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients, IEEE Trans. Syst., Man, Cybern.B, 2004, 34(1): 499-516.
14. F. Hong, S. S. Ge, and T. H. Lee, Practical adaptive neural control of nonlinear systems with unknown time delays, IEEE Trans. Systems, Man, and Cybernetics-Part B, 2005, 35(4): 849-854.
15. S. S. Ge and K. P. Tee, Approximation-based control of nonlinear MIMO time-delay systems, Automatica, 2007, 43(1): 31-43.
16. T. P. Zhang and S. S. Ge, Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs, Automatica, 2007, 43(6): 1021-1033.
17. M. Wang, B. Chen, X. P. Liu, and P. Shi, Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems, Fuzzy Sets and Systems, 2008, 159(8): 949-967.
18. M. Wang, B. Chen, and P. Shi, Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems, IEEE Trans. Systems, Man, and Cybernetics-Part B, 2008, 38(3): 721-730.
19. D. W. C. Ho, J. M. Li, and Y. G. Niu, Adaptive neural control for a class of nonlinearly parametric time-delay systems, IEEE Trans. Neural Netw., 2005, 16(3): 625-635.
20. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and adaptive control design. New York: Wiley, 1995.
21. A. Ferrara and L. Giacomini, Control of a class of mechanical systems with uncertainties via a constructive adaptive/second order vsc approach, Transactions of ASME, Journal of Dynamic Systems, Measurement and Control, 2000, 122: 33-39.
22. T. M. Apostol, Mathematical Analysis, Reading, MA: Addison- Wesley, 1963.
23. R. M. Sanner and J. E. Slotine. Gaussian networks for direct adaptive control. IEEE Transactions on Neural Networks, 1992, 3: 837-863.
24. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control, Boston, MA: Kluwer, 2001.
25. A. J. Kurdila, F. J. Narcowich, and J. D. Ward, Persistency of excitation in identification using radial basis function approximants, SIAM Journal of Control and Optimization, 1995, 33(2): 625-642.
26. W. Lin and C. J. Qian, Adaptive control of nonlinearly parameterized systems: The smooth feedback case, IEEE Trans. Autom. Control, 2002, 47: 1249-1266.