Directly adaptive fuzzy control of discrete-time chaotic systems by least squares algorithm with dead-zone

Nonlinear Dynamics

Volumn 62, Issue 3, 2010, Pages 553-559

  Jiang, Haibo ^a  

^a YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Adaptive control; Discrete time chaotic systems; Least squares algorithm with dead zone; T S fuzzy model

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; CLOSED LOOP SYSTEMS; CONTROLLERS; FUZZY CONTROL; LYAPUNOV METHODS;

ADAPTIVE CONTROL; ADAPTIVE FUZZY CONTROL; DEAD ZONES; DISCRETE-TIME CHAOTIC SYSTEMS; FUZZY CONTROLLERS; LEAST SQUARES ALGORITHM; T-S FUZZY MODELS; UNKNOWN COEFFICIENTS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 78049454447     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9742-2     Document Type: Article

References (26)

1. L.M. Pecoral T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821 824 10.1103/PhysRevLett.64.821 1038263
2. G.R. Chen X.H. Yu 1999 On time-delay feedback control of chaotic systems IEEE Trans. Circuit Syst. I 64 767 772 10.1109/81.768837 1690747
3. Y.J. Cao 2000 A nonlinear adaptive approach to controlling chaotic oscillators Phys. Lett. A 270 171 176 10.1016/S0375-9601(00)00299-1
4. J.H. Kim C.W. Park E. Kim M. Park 2005 Adaptive synchronization of T-S fuzzy chaotic systems with unknown parameters Chaos Solitons Fractals 24 1353 1361 10.1016/j.chaos.2004.09.082 2124081 1092.37512 (Pubitemid 40206063)
5. H. Salarieh M. Shahrokhi 2007 Indirect adaptive control of discrete chaotic systems Chaos Solitons Fractals 34 1188 1201 10.1016/j.chaos.2006.03.115 2331274 1142.93359 (Pubitemid 46601935)
6. S.S. Ge T.H. Lee C. Wang 2000 Adaptive backstepping control of a class of chaotic systems Int. J. Bifurc. Chaos 10 1149 1156 1770506 1090.34555
7. J. Lu R. Wei X. Wang Z. Wang 2001 Backstepping control of discrete time chaotic systems with application to the Henon systems IEEE Trans. Circuit Syst. I 48 1359 1363 10.1109/81.964429 1874474 0994.37017 (Pubitemid 33120589)
8. Y.W. Wang Z.H. Guan H. Wang 2005 Impulsive synchronization for Takagi-Sugeno fuzzy model and its application to continuous chaotic system Phys. Lett. A 339 325 332 10.1016/j.physleta.2005.03.039 1145.93373 (Pubitemid 40591635)
9. L.P. Zhang H.B. Jiang Q.S. Bi 2010 Reliable impulsive lag synchronization for a class of nonlinear discrete chaotic systems Nonlinear Dyn. 59 529 534 10.1007/s11071-009-9559-z 2599956 1189.93085
10. S.G. Cao N.W. Rees G. Feng 1997 Analysis and design for a class of complex control systems Automatica 33 1017 1028 10.1016/S0005-1098(97)00010-1 1456807 0887.93035
11. G. Feng 1999 Analysis of a new algorithm for continuous time robust adaptive control IEEE Trans. Automat. Contr. 44 1764 1768 10.1109/9.788549 0957.93075
12. X.J. Xie Y. Wang 1999 Adaptive control of nonlinear discrete-time systems using neural networks and least squares algorithm with dead-zone Control Theory Appl. 20 603 606 1716528
13. Guo, J., Chen, Q.W., Wu, X.B., Hu, W.L., Xu, S.Y.: Directly adaptive control for a class of nonlinear system. In: Proc. the 5th Word Congress on Intelligent Control and Automation, Hangzhou, pp. 454-458 (2004)
14. S.S. Ge J. Zhang T.H. Lee 2004 Adaptive MNN control for a class of non-affine NARMAX systems with disturbances Syst. Control Lett. 53 1 12 10.1016/j.sysconle.2004.02.016 2077184 1157.93436
15. H.B. Jiang T.P. Zhang 2006 Direct adaptive fuzzy control for a class of nonlinear discrete-time systems Control Theory Appl. 23 949 952
16. Goodwin, G.C., Sin, K.S.: Adaptive Filtering Prediction and Control. Dover Publications, New York (2009)
17. Wang, L.X.: Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Prentice-Hall, New Jersey (1994)
18. T.P. Zhang H. Wen Q. Zhu 2010 Adaptive fuzzy control of nonlinear systems in pure feedback form based on input-to-state stability IEEE Trans. Fuzzy Syst. 18 80 93 10.1109/TFUZZ.2009.2036906
19. K. Tanaka T. Ikeda E. Kim H.O. Wang 1998 Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs IEEE Trans. Fuzzy Syst. 6 250 265 10.1109/91.669023
20. G. Feng 2006 A survey on analysis and design of model-based fuzzy control systems IEEE Trans. Fuzzy Syst. 14 676 697 10.1109/TFUZZ.2006.883415 (Pubitemid 44607782)
21. ∞ control for uncertain fuzzy systems Inf. Sci. 177 5118 5133 10.1016/j.ins.2007.05.004 2362815 1120.93019 (Pubitemid 47331450)
22. H.B. Jiang J.J. Yu C.G. Zhou 2008 Robust fuzzy control of nonlinear fuzzy impulsive systems with time-varying delay IET Control Theory Appl. 2 654 661 10.1049/iet-cta:20070375 2436939
23. K. Tanaka T. Ikeda H.O. Wang 1998 A unified approach to controlling chaos via LMI-based fuzzy control system design IEEE Trans. Circuit Syst. I 45 1021 1040 10.1109/81.728857 1657009 0951.93046
24. G. Feng G. Chen 2005 Adaptive control of discrete-time chaotic systems: a fuzzy control approach Chaos Solitons Fractals 23 459 467 10.1016/j.chaos.2004. 04.013 2089571 1061.93501
25. N. Vasegh V.J. Majd 2006 Adaptive fuzzy synchronization of discrete-time chaotic systems Chaos Solitons Fractals 28 1029 1036 10.1016/j.chaos.2005.08.123 2212789 1106.37027 (Pubitemid 41607604)
26. W.K. Lee C.H. Hyun H. Lee E. Kim M. Park 2007 Model reference adaptive synchronization of T-S fuzzy discrete chaotic systems using output tracking control Chaos Solitons Fractals 34 1590 1598 10.1016/j.chaos.2006.04.059 2335405 1152.93416 (Pubitemid 46907565)