A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones

Expert Systems with Applications

Volumn 38, Issue 12, 2011, Pages 14744-14750

  Boulkroune, A ^a   M'Saad, M ^b  

^a UNIVERSITY OF JIJEL   (Algeria)

^b UNIVERSITÉ DE CAEN   (France)

Author keywords

Adaptive control; Dead zone; Fuzzy system; MIMO chaotic systems; Sector nonlinearities; Variable structure control

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE FUZZY SYSTEM; BOUNDEDNESS; CLOSED-LOOP; DEAD-ZONE; EXPONENTIAL CONVERGENCE; FUZZY ADAPTIVE; FUZZY ADAPTIVE CONTROLLER; LYAPUNOV APPROACH; MULTI-INPUT MULTI-OUTPUT; PARAMETER ADAPTATION; SECTOR NONLINEARITY; SIMULATION RESULT; UNCERTAIN FUNCTIONS; VARIABLE STRUCTURE CONTROLLER;

CHAOTIC SYSTEMS; CONTROL NONLINEARITIES; CONTROLLERS; FUZZY SYSTEMS; MIMO SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 80052038759     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.05.006     Document Type: Article

References (36)

1. G. Ablay Sliding mode control of uncertain unified chaotic systems Nonlinear Analysis: Hybrid systems 2009 10.1016/j.nahs.2009.04.002
2. A. Boulkroune, H. Chekireb, M. Tadjine, and S. Bouatmane Observer-based adaptive feedback controller of a class of chaotic systems International Journal of Bifurcation and Chaos 16 2 2006 189 196
3. A. Boulkroune, H. Chekireb, M. Tadjine, and S. Bouatmane An adaptive feedback controller with observer for linearizable chaotic systems Control and Intelligent Systems 35 2 2007 1 8
4. Boulkroune, A., Chekireb, H., Tadjine, M., & M'Saad, M. (2006). Fuzzy adaptive controller based on observers for a class of unknown chaotic systems. In First IFAC Conference on Analysis and Control of Chaotic Systems, Reims-France, June 28-30.
5. Boulkroune, A., M'Saad, M., Tadjine, M., & Farza, M. (2008). Adaptive fuzzy control for MIMO nonlinear systems with unknown dead-zone. In Proceedings of fourth International IEEE Conference on Intelligent Systems, Varna, Bulgaria (pp. 450-455).
6. Boulkroune, A., M'Saad, M., Tadjine, M., & Farza, M. (2010). Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction, Fuzzy sets and systems doi:10.1016/j.fss.2009.04.011.
7. A. Boulkroune, M. Tadjine, M. M'saad, and M. Farza How to design a fuzzy adaptive control based on observers for uncertain affine nonlinear systems Fuzzy Sets and Systems 159 2008 926 948
8. Y.C. Chang A robust tracking control for chaotic Chua's circuits via fuzzy approach IEEE Transactions on Circuits Systems I: Fundamental Theory and Applications 48 7 2001 889 895
9. K.M. Chang Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances Chaos, Solitons & Fractals 36 2007 460 468
10. G. Chen, and X. Dong From chaos to order: Methodologies Perspectives and applications 1998 World-Scientific Singapore
11. C.H. Chen, C.M. Lin, and T.Y. Chen Intelligent adaptive control for MIMO uncertain nonlinear systems Expert Systems with Applications 35 2008 865 877
12. G.R. Chen, and T. Ueta Yet another chaotic attractor International Journal of Bifurcation and Chaos 9 1999 146 156
13. T.Y. Chiang, M.L. Hung, J.J. Yan, Y.S. Yang, and J.F. Chang Sliding mode control for uncertain unified chaotic systems with input nonlinearity Chaos, Solitons & Fractals 34 2007 437 442
14. M. Feki An adaptive feedback controller for linearizable chaotic systems Chaos, Solitons & Fractals 15 2003 883 890
15. S.S. Ge, and C. Wang Adaptive control of uncertain Chua's circuits IEEE Transactions on Circuits Systems I: Fundamental Theory and Applications 47 9 2000 1397 1402
16. S.S. Ge, and C. Wang Uncertain chaotic system control via adaptive neural design International Journal of Bifurcation and Chaos 12 5 2002 1097 1109
17. L.L. Ghezi, and C. Peccardi PID control of a chaotic system: An application to an epidemiological model Automatica 33 1997 181 191
18. 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 Transactions on Systems, Man and Cybernetic, Part-B 34 1 2004 374 380
19. C.C. Hua, X.P. Guan, and P. Shi Adaptive feedback control for a class of chaotic systems Chaos, Solitons & Fractals 23 2005 757 765
20. Y.C. Hung, J.J. Yan, and T.L. Liao Projective synchronization of Chua's chaotic systems with dead-zone in the control input Mathematics and computers in Simulation 77 2008 374 382
21. I. Kar, and L. Behera Direct adaptive neural control for affine nonlinear systems Applied soft computing 9 2009 756 764
22. Y.J. Liu, and Y.Q. Zheng Adaptive robust fuzzy control for a class of uncertain chaotic systems Nonlinear dynamics 57 3 2009 431 439
23. E.N. Lorenz Deterministic nonperiodic flow Journal of the Atmospheric Science 20 1963 130 141
24. J.H. Lü, and G.R. Chen A new chaotic attractor coined International Journal of Bifurcation and Chaos 12 3 2002 659 661
25. J.H. Lü, G.R. Chen, D.Z. Cheng, and S. Celikovssky Bridge the gap between the Lorenz and Chen system International Journal of Bifurcation and Chaos 12 2002 2917 2926
26. J.M. Nazzal, and A.N. Natsheh Chaos control using sliding-mode theory Chaos, Solitons & Fractals 33 2007 695 702
27. E. Ott, C. Grebogi, and J.A. Yorke Controlling chaos Physical Review Letters 64 1990 1196 1199
28. A. Poursamad, and A.H.D. Markazi Adaptive fuzzy sliding-mode control for multi-input multi-output chaotic systems Chaos, Solitons & Fractals 42 5 2009 3100 3109
29. M. Roopaei, and M.Z. Jahromi Synchronisation of two different chaotic systems using novel adaptive fuzzy sliding mode control Chaos 18 2008 033133
30. M. Roopaei, M.Z. Jahromi, and S. Jafari Adaptive gain fuzzy sliding mode control for the synchronisation of nonlinear chaotic gyros Chaos 19 2009 013125
31. A. Vanecek, and S. Celikovsky Control systems: From linear analysis and to synthesis of chaos 1996 Prentice-Hall London
32. L.X. Wang Adaptive fuzzy systems and control: Design and stability analysis 1994 Prentice-Hall Englewood Cliffs, NJ
33. C. Wang, and S.S. Ge Adaptive backstepping control of uncertain Lorenz system International Journal of Bifurcation and Chaos 11 4 2001 1115 1119
34. J.J. Yan, K.K. Shyu, and J.S. Lin Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity Chaos, Solitons & Fractals 25 2005 347 355
35. H.T. Yau, C.K. Chen, and C.L. Chen Sliding mode control of chaotic systems with uncertainties International Journal of Bifurcation and Chaos 10 2000 1139 1147
36. H.A. Youcef, and M.A. Wahba Adaptive fuzzy mimo control of induction motors Expert Systems with Applications 36 2009 4171 4175