Robust H∞ control for discrete time-delay fuzzy systems

Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007

Volumn , Issue , 2007, Pages 1141-1147

  Gong, Cheng ^a   Su, Baoku ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Discrete; Robust H control; T S fuzzy model; Time delay

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUST CONTROL; TIME DELAY;

BASIS-DEPENDENT LYAPUNOV-KRASOVSKII FUNCTION; STATE DELAY; T-S FUZZY MODEL;

FUZZY SYSTEMS;

EID: 37049022386     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMA.2007.4303709     Document Type: Conference Paper

References (25)

1. A. E. Gegov and P.M.Frank, "Hierarchical fuzzy control of multivariable system," Fuzzy Sets syst., vol.72,No.3,pp.299-310, 1995.
2. C.Lee, "Fuzzy logic in control systems: Fuzzy logic controller-Part 1;Part 2," IEEE Trans.Syst.,Man, Cybern., vol.20, pp.404-435,Feb.1990.
3. 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./Feb.1985.
4. th World Congress on Intelligent Control and Automation, Hefei, P.R.China,pp1540-1543,2000.
5. H.J.Lee,J.B. Park and G.chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Transactions on Fuzzy Systems,Vol.9, No.2, pp.369-379,2001.
6. K.Takagi, "Stability and stabilizability of fuzzy-neural-linear control system."IEEE Trans.on Fuzzy Systems, vol.3, pp.438-447,1995.
7. K.Tanaka, M.Sugeno "Stability analysis and design of fuzzy control systems," Fuzzy Sets & Systems, vol.45,no.2,pp. 135-156,1992.
8. Wang H O, Tanaka K, Griffin M F. "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Tans. Fuzzy systems, vol.4,no.1,pp.14-23.
9. M.C.M. Teixeira and S.H. Zak, "Stabilizing controller design for uncertain nonlinear systems using fuzzy model," IEEE Trans. Fuzzy Syst., vol.7, no.2, pp.133-142, 1999
10. K.Tanaka K,T.Ikeda, Wang H O, "Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI- based designs," IEEE Trans. Fuzzy Systems, vol.4,no.2,pp.250-265. 1998.
11. ∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Systems, vol.4,no.1,pp.1-13,1996.
12. Lee H.J.,Park J.,B.Chen ".Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Trans. Fuzzy Sysf.,vol.9,no.2, pp.369-379,2001.
13. Cao Y.Y., Frank P.M., "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach," IEEE Trans Fuzzy Syst., vol.8,no.2,pp.200-211,2000.
14. Cao Y.Y, Frank P.M., "Stability analysis and synthesis of nonlinear time-delay systems via linear takagi-sugeno fuzzy models," Fuzzy Sets and Systems, vol.124, no.12, pp.213-229,2001.
15. Y.S. Moon, P. Park, W. H. Kwon, Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J.Control, vol.74, No. 14, pp. 1447-1455,2001.
16. B.Chen,X.P.Liu,"Delay-dependent robust Hinf control for T-S fuzzy systems with time delay."IEEE Transactions on fuzzy systems, vol.13, no.4, pp.544-556, 2005.
17. Song-Shyong Chen,Yuan-Chang Chang, Shun-Feng Su, and Tsu-Tian Lee, "Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach,"IEEE Trans. on Fuzzy Systems, vol.13, No.2, pp.263-272,2005.
18. ∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers," IEEE Trans. on Fuzzy Systems, vol.13,no.1,pp.82-93, 2005.
19. J.Yoneyama, "Design of H·-control for fuzzy time-delay systems," Fuzzy Sets syst., vol.151, pp. 167-190,2005.
20. Bing Chen and Xiaoping Liu,"Delay-dependent stability analysis and control synthesis of fuzzy dynamic systems with time delay," Fuzzy Sets and Systems, vol.157,no.16, pp.2224-2240, 2006.
21. Xingwen Liu,"Delay-dependent Hinf control for uncertain fuzzy systems with time-varying delays,"Nonlinear Analysis,2007.
22. ∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent lyapunov functions," IEEE Trans. Fuzzy Syst. pp. 271-278,2003.
23. Shaosheng Zhou,Tao Li, "Robust stabilization for delayed discrete-time fuzzy systems via basis-dependent lyapunov-krasovskii function," Fuzzy Sets and Systems, vol.151, no.1, pp. 139-153, 2005
24. Cao Y. Y., Frank P.M, "robust Hinf disturbance attenuation for a class of uncertain discrete-time fuzzy systems," IEEE Tramactions on Fuzzy System,vol.8,no.4,2000.
25. L.Yu, "Robust control-The method of LMI," Tsinghua Press, pp.87-88, 2002.