Design of adaptive fuzzy integral sliding mode control for uncertain nonlinear systems with state and input delays

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn , Issue , 2008, Pages 944-949

  Kung, Chung Chun ^a   Chang, Shuo Chieh ^a   Huang, Po Shen ^a  

^a TATUNG UNIVERSITY   (Taiwan)

Author keywords

Adaptive fuzzy technique; Sliding mode control; State transformation technique; Time delay

Indexed keywords

ADAPTIVE FUZZY; ADAPTIVE FUZZY TECHNIQUE; ADAPTIVE FUZZY TECHNIQUES; ILLUSTRATIVE EXAMPLES; INPUT-DELAY; LYAPUNOV STABILITY THEOREM; STATE AND INPUT DELAYS; STATE-TRANSFORMATION TECHNIQUE; UNCERTAIN NONLINEAR SYSTEMS;

CONTROL THEORY; CONTROLLERS; CYBERNETICS; DC MOTORS; DELAY CONTROL SYSTEMS; NONLINEAR SYSTEMS; SLIDING MODE CONTROL; SYSTEM STABILITY; TIME DELAY;

ADAPTIVE CONTROL SYSTEMS;

EID: 69949129855     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSMC.2008.4811402     Document Type: Conference Paper

References (29)

1. J. H. Ge, P. M. Frank, and C. F. Lin, "Robust H∞ state feedback control for linear systems with state delay and parameter uncertainty," Automatica., vol. 32, no. 8, pp. 1183-1185, 1996.
2. M. S. Mahmoud and N.F. Al-Muthairi, "Quadratic stabilization of continuous time systems with state-delay and norm-bounded timevarying uncertainties," IEEE Trans. Automat. Contr., vol. 39, no. 11, pp. 2135-2139, 1994.
3. S. H. Esfahani and I. R. Petersen, "An LMI approach to output feedback guaranteed cost control for uncertain time-delay systems," Int. J. Robust and Nonlinear Control., vol. 10, no. 3, pp. 157-174, 2000.
4. C. E. de Souza and X. Li, "Delay-dependent robust H∞ control of uncertain linear state-delayed systems," Automatica., vol. 35, no. 7, pp. 1313-1321, 1999.
5. Y. Xia, and Y. Jia, "Robust sliding-mode control for uncertain timedelay systems: an LMI approach," IEEE Trans. Automat. Contr., vol. 48, no. 6, pp. 108 6-1092, 2003.
6. S. Oucheriah, "Exponential stabilization of linear delayed systems using sliding-mode controllers." IEEE Trans. Circuits Syst. I, vol. 50, no. 6, pp. 826-830, 2003.
7. C. T. Chen, and S. T. Peng; "A predictor-based sliding mode control strategy for nonlinear uncertain input-delay processes," Control Conference, 2004. 5th Asian, vol. 3, pp. 1973-1981, 2004.
8. S. C. Qu, and Y. J. Wang, "Sliding mode control for a class of uncertain input-delay systems," Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on, vol. 2, pp. 1184-1186, 2004.
9. S. A. Al-Shamali, O. D. Crisalle, and H. A. Latchman, "An approach to stabilize linear systems with state and input delay," American Control Conference, 2003. Proceedings of the 2003, vol. 1, pp. 875-880, 2003.
10. C. W. Tao, M. L. Chan, and W. Y. Wang, "Robust control of the mismatched systems with the fuzzy integral sliding controller," Systems, Man and Cybernetics, 2003. IEEE International Conference on, vol. 4, pp. 3657-3662, 2003.
11. A. Poznyak, L. Fridman, and F. J. Bejarano, "Mini-max integral slidingmode control for multimodel linear uncertain system," IEEE Trans. Automat. Contr., vol. 49, no. 1, pp. 97-102, 2004.
12. C. P. Hung, "Integral variable structure control of nonlinear system using a CMAC neural network learning approach," IEEE Trans. Syst., Man. Cybern., B., vol. 34, no. 1, pp. 702-709, 2004.
13. K. C. Hsu, "Variable structure control design for uncertain dynamic systems with sector nonlinearities," Automatica, vol. 34, no. 4, pp. 505-508, 1998.
14. F. M. Yu, H. Y. Chung, and S.Y. Chen, "Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input," Fuzzy Sets and Systems, vol. 140, pp. 359-374, 2003.
15. K. K. Shyu, W. J. Liu, and K. C. Hsu, "Decentralized variable structure control of uncertain large-scare systems containing a dead-zone," IEE Proc. Control Theory Appl., vol. 150, no. 5, pp. 467-475, 2003.
16. K.C. Hsu, W. Y. Wang, and P. Z. Lin, "Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and dead-zones," IEEE Trans. Syst., Man. Cybern., B, vol. 34, no. 1, pp. 374-380, 2004.
17. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Englewood Cliffs, NJ: Prentice Hall, 1994.
18. C. C. Kung, T. H. Chen, and L. H. Kung, "Modified adaptive fuzzy sliding mode controller for uncertain nonlinear systems," IEICE Trans. Fundamentals, vol. E88-A, pp. 1328-1334, 2005.
19. C. C. Kung and T. H. Chen, "Observer-based indirect adaptive fuzzy sliding mode control with state variable filters for unknown nonlinear dynamical systems," Fuzzy Sets and Systems, vol. 155, pp. 292-308, 2005.
20. C. C. Kung and T. H. Chen, "H∞ tracking-based adaptive fuzzy sliding mode controller design for nonlinear systems," IET Control Theory Appl., vol. 1, no. 1, pp. 82-89, 2007.
21. D. S. Yoo, and M. J. Chung, "A variable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties," IEEE Trans. Automat. Contr., vol. 37, no. 6, pp. 860-865, 1992.
22. Z. Artstein, "Linear systems with delayed controls: a reduction," IEEE Trans. Automat. Contr., vol. 27, no. 4, pp. 869-878, 1982.
23. T. Mori, K. Funkuma, and M Kueahara, "Simple stability criteria for single and composite linear systems with time delays," Int. J. Control., vol. 34, no. 6, pp 1175-1184, 1981.
24. S. A. Al-Shamali, O. D. Crisalle, and H.A Latchman, "An approach to stabilize linear systems with state and input delay," American Control Conference, 2003. Proceedings of the 2003, vol. 1, pp. 875-880, 2003.
25. J. J. E. Slotine, and W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, New Jersey, 1991.
26. V. Lakshmikantham, and S. Leela, Differential and Integral Inequalities, Academic Press, New York, 1969.
27. W. A. Coppel, Stability and asymptotic behavior of differential equations, Heath, Boston, 1965.
28. R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York, 1963.
29. L. E. El'sgol'ts, and S. B. Norkin, Introduction on the Theory and Application of Differential Equations with Deviating Arguments, Academic Press, New York, 1973.