A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems

IEEE Transactions on Automatic Control

Volumn 48, Issue 7, 2003, Pages 1213-1217

  Chou, Chien Hsin ^a   Cheng, Chih Chiang ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Adaptive control; Large scale system; Time delay; Variable structure control

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CIRCUITS; INTERCONNECTION NETWORKS; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

VARIABLE STRUCTURE CONTROL;

ADAPTIVE CONTROL SYSTEMS;

EID: 0041764958     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.814263     Document Type: Article

References (26)

1. V. I. Utkin, Sliding Modes in Control and Optimization. New York: Springer-Verlag, 1992.
2. A. DeCarlo, S. H. Zak, and G. P. Mattews, "Variable structure control of nonlinear multivariable systems: a tutorial," Proc. IEEE, vol. 76, pp. 212-232, Mar. 1988.
3. B. Drazenovic, "The invariance conditions in variable structure system," Automatica, vol. 5, pp. 287-295, 1969.
4. J.-J. E. Slotine and J. A. Coetsee, "Adaptive sliding controller synthesis for nonlinear systems," Int. J. Control, vol. 43, pp. 1631-1651, 1986.
5. H. S. Tan and Y. K. Chin, "Vehicle traction control: variable structure control approach," ASME J. Dyna. Syst., Measure., Control, vol. 113, pp. 223-230, 1991.
6. K. S. Yeung, C. C. Cheng, and C. M. Kwan, "A unifying design of sliding mode and classical controllers," IEEE Trans. Automat. Contr., vol. 38, pp. 1422-1427, Sept. 1993.
7. R. Richter, S. Lefebvres, and R. DeCarlo, "Control of a class of nonlinear systems by decentralized control," IEEE Trans. Automat. Contr., vol. AC-27, pp. 492-494, Apr. 1982.
8. G. P. Matthews and R. A. DeCarlo, "Decentralized tracking for a class of interconnectioned nonlinear systems using variable structure control," Automatica, vol. 24, pp. 187-193, 1988.
9. K. C. Hsu, "Decentralized variable-structure control design for uncertain large-scale systems with series nonlinearities," Int. J. Control, vol. 68, no. 6, pp. 1231-1240, 1997.
10. _, "Decentralized variable structure model-following adaptive control for interconnected systems with series nonlinearities," Int. J. Syst. Sci., vol. 29, no. 4, pp. 365-372, 1998.
11. W. J. Wang and J. L. Lee, "Decentralized variable structure control design in perturbed nonlinear systems," ASME J. Dyna. Syst., Measure., Control, vol. 115, pp. 551-554, 1993.
12. X. Xu, Y. Wu, and W. Huang, "Variable-structure control approach of decentralized model-reference adaptive systems," Proc. Inst. Electr. Eng., vol. 137, no. 5, pp. 302-306, 1990.
13. C. C. Chiang, "Decentralized variable structure model-reference adaptive control of linear time-varying large-scale systems with bounded disturbances," Int. J. Syst. Sci., vol. 26, no. 10, pp. 1993-2003, 1995.
14. G. Feng and Y. A. Jiang, "Variable structure based decentralized adaptive control," Proc. Inst. Electr. Eng. Control Theory Applicat., vol. 142, no. 5, pp. 439-443, 1995.
15. 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. AC-37, pp. 860-864, June 1992.
16. K. K. Shyu and J. J. Yan, "Variable-structure model following adaptive control for systems with time-varying delay," Control Theory Adv. Technol., vol. 10, no. 3, pp. 513-521, 1994.
17. J.-J. E. Slotine and S. S. Sastry, "Tracking control of nonlinear system using sliding surface with application to robot manipulators," Int. J. Control, vol. 38, pp. 465-492, 1983.
18. K. D. Young, "A variable structure model following control design for robotics applications," IEEE Trans. Robot. Automat., vol. 4, pp. 556-561, Oct. 1988.
19. Y. Yu, "On stabilizing uncertain linear systems," J. Optim. Theory Applicat., vol. 41, no. 3, pp. 503-507, 1983.
20. E. Cheres, S. Gutman, and Z. J. Palmor, "Stabilization of uncertain dynamic systems including state delay," IEEE Trans. Automat. Contr., vol. 34, pp. 1199-1203, Nov. 1989.
21. N. Luo and M de la Sen, "State feedback sliding mode control of a class of uncertain time delay systems," Proc. Inst. Electr. Eng., vol. 140, no. 4, pp. 261-274, 1993.
22. H. Seraji, "Simple method for model reference adaptive control," Int. J. Control, vol. 49, no. 1, pp. 367-371, 1989.
23. C. H. Chou and C. C. Cheng, "Decentralized model following variable structure control for perturbed large-scale systems with time-delay interconnections," in Proc. American Control Conf., Chicago, IL, 2000, pp. 641-645.
24. H. K. Khalil, Nonlinear Systems. New York: Macmillan, 1992.
25. C. T. Chen, Linear System Theory and Design. New York: Oxford Univ. Press, 1999.
26. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Upper Saddle River, NJ: Prentice-Hall, 1991.