Reliable H∞ nonuniform sampling fuzzy control for nonlinear systems with time delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 38, Issue 6, 2008, Pages 1606-1613

  Yang, Dedong ^a   Cai, Kai Yuan ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Fuzzy control; Linear matrix inequality (LMI); Nonuniform sampling; Reliable control

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; DELAY CONTROL SYSTEMS; FEEDBACK; FEEDBACK CONTROL; FUZZY LOGIC; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NONLINEAR SYSTEMS; STATE FEEDBACK; TIME DELAY;

ACTUATOR FAULTS; CONTINUOUS TIMES; DESCRIPTOR MODEL TRANSFORMATIONS; FEASIBLE ALGORITHMS; ILLUSTRATIVE EXAMPLES; INPUT DELAYS; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIXES; NONUNIFORM SAMPLING; NONUNIFORM SAMPLINGS; PERFORMANCE CRITERIONS; RELIABLE CONTROL; RELIABLE H; STATE FEEDBACK CONTROLLERS; SUFFICIENT CONDITIONS; SYSTEMS WITH TIME DELAYS;

FUZZY CONTROL;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER SIMULATION; METHODOLOGY; NONLINEAR SYSTEM; SAMPLE SIZE; SIGNAL PROCESSING; THEORETICAL MODEL; TIME;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; MODELS, THEORETICAL; NONLINEAR DYNAMICS; PATTERN RECOGNITION, AUTOMATED; SAMPLE SIZE; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 57049188397     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2008.2002692     Document Type: Article

References (31)

1. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
2. B. Chen and X. Liu, "Delay-dependent robust H∞ control for T-S fuzzy systems with time delay," IEEE Trans. Fuzzy Syst., vol. 13, no. 4, pp. 544-556, Aug. 2005.
3. B. Chen and X. Liu, "Reliable control design of fuzzy dynamic systems with time-varying delay," Fuzzy Sets Syst., vol. 146, no. 2, pp. 349-374, Apr. 2004.
4. B.-S. Chen, C.-S. Tseng, and H.-J. Uang, "Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 3, pp. 249-265, Jun. 2000.
5. E. Fridman, A. Seuret, and J. P. Richard, "Robust sampled-data stabilization of linear systems: An input delay approach," Automatica, vol. 40, no. 8, pp. 1441-1446, Aug. 2004.
6. E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1931-1937, Nov. 2002.
7. H. Gao and C. Wang, "Comments and further results on a descriptor system approach to H∞ control of linear time-delay systems," IEEE Trans. Autom. Control, vol. 48, no. 3, pp. 520-525, Mar. 2003.
8. H. Gao and T. Chen, "Stabilization of nonlinear systems under variable sampling: A fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 15, no. 5, pp. 972-983, Oct. 2007.
9. L. E. Ghaoui, F. Oustry, and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 1171-1176, Aug. 1997.
10. Y. He, M. Wu, J.-H. She, and G.-P. Liu, "Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 828-832, May 2004.
11. L. Hu and B. Huang, "Multirate robust digital control for fuzzy systems with periodic Lyapunov function," IEEE Trans. Fuzzy Syst., vol. 13, no. 4, pp. 436-443, Aug. 2005.
12. L. Hu, J. Lam, Y. Cao, and H. Shao, "A LMI approach to robust H2 sampled-data control for linear uncertain systems," IEEE Trans. Syst., Man, Cybern., B, Cybern., vol. 33, no. 1, pp. 149-155, Feb. 2003.
13. X. Jiang and Q.L. Han, "Robust H∞ control for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay," IEEE Trans. Fuzzy Syst., vol. 15, no. 2, pp. 321-331, Apr. 2007.
14. H. Katayama and A. Ichikawa, "H∞ control for sampled-data nonlinear systems described by Takagi-Sugeno fuzzy systems," Fuzzy Sets Syst., vol. 148, no. 3, pp. 431-452, Dec. 2004.
15. D. W. Kim, J. B. Park, and Y. H. Joo, "Effective digital implementation of fuzzy control systems based on approximate discrete-time models," Automatica, vol. 43, no. 10, pp. 1671-1683, Oct. 2007.
16. S. Lall and G. Dullerud, "An LMI solution to the robust synthesis problem for multi-rate sampled-data systems," Automatica, vol. 37, no. 12, pp. 1909-1922, Dec. 2001.
17. H. K. Lam and F. H. F. Leung, "Sampled-data fuzzy controller for time delay nonlinear systems: Fuzzy-model-based LMI approach," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 3, pp. 617-629, Jun. 2007.
18. H. K. Lam and F. H. F. Leung, "Design and stabilization of sampled-data neural-network-based control systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 36, no. 5, pp. 995-1005, Oct. 2006.
19. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan. 1985.
20. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
21. E. Tian and C. Peng, "Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay," Fuzzy Sets Syst., vol. 157, no. 4, pp. 544-559, Feb. 2006.
22. H. N. Wu, "Reliable LQ fuzzy control for nonlinear discrete-time systems via LMIs," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 2, pp. 1270-1275, Apr. 2004.
23. H. N. Wu and H. Y. Zhang, "Reliable H∞ fuzzy control for continuous-time nonlinear systems with actuator failures," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 609-618, Oct. 2006.
24. H. N. Wu and H. Y. Zhang, "Reliable H∞ fuzzy control for a class of discrete-time nonlinear systems using multiple fuzzy Lyapunov functions," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 4, pp. 357-361, Apr. 2007.
25. D. Ye and G.-H. Yang, "Adaptive fault-tolerant tracking control against actuator faults with application to flight control," IEEE Trans. Control Syst. Technol., vol. 14, no. 6, pp. 1088-1096, Nov. 2006.
26. D. Yue and Q.-L. Han, "Delayed feedback control of uncertain systems with time-varying input delay," Automatica, vol. 41, no. 2, pp. 233-240, Feb. 2005.
27. D. Yue, Q.-L. Han, and P. Chen, "State feedback controller design of networked control systems," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. 11, pp. 640-644, Nov. 2004.
28. D. Yue, J. Lam, and D. W. C. Ho, "Reliable H∞ control of uncertain descriptor systems with multiple time delays," Proc. Inst. Electr. Eng.-Control Theory Appl., vol. 150, no. 6, pp. 557-564, Nov. 2003.
29. H. G. Zhang, S. X. Lun, and D. Liu, "Fuzzy H∞ filter design for a class of nonlinear discrete-time systems with multiple time delay," IEEE Trans. Fuzzy Syst., vol. 15, no. 3, pp. 453-469, Jun. 2007.
30. H. G. Zhang, D. Yang, and T. Chai, "Guaranteed cost networked control for T-S fuzzy systems with time delays," IEEE Trans. Syst., Man, Cybern. C, Appl. Rev., vol. 37, no. 2, pp. 160-172, Mar. 2007.
31. H. G. Zhang, J. Yang, and C.-Y. Su, "T-S fuzzy-model-based robust H & design for networked control systems with uncertainties," IEEE Trans. Ind. Informat., vol. 3, no. 4, pp. 289-301, Nov. 2007.