Chaos synchronization between two different chaotic systems with uncertainties, external disturbances, unknown parameters and input nonlinearities

Applied Mathematical Modelling

Volumn 36, Issue 4, 2012, Pages 1639-1652

  Aghababa, Mohammad Pourmahmood ^a   Heydari, Aiuob ^a  

^a URMIA UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

External disturbance; Input nonlinearity; Model uncertainty; Sliding mode control; Unknown parameter

Indexed keywords

EXTERNAL DISTURBANCES; INPUT NONLINEARITY; MODEL UNCERTAINTY; SLIDING MODES; UNKNOWN PARAMETERS;

OBSERVABILITY; SLIDING MODE CONTROL; UNCERTAINTY ANALYSIS;

CHAOTIC SYSTEMS;

EID: 84855700496     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.09.023     Document Type: Article

References (34)

1. Kuo C.-L. Design of a fuzzy sliding-mode synchronization controller for two different chaos systems. Comput. Math. Appl. 2011, 61:2090-2095.
2. Pai N.-S., Yau H.-T., Kuo C.-L. Fuzzy logic combining controller design for chaos control of a rod-type plasma torch system. Expert Syst. Appl. 2010, 37:8278-8283.
3. Guo W., Chen S., Zhou H. A simple adaptive-feedback controller for chaos synchronization. Chaos Soliton Fract. 2009, 39:316-321.
4. Grzybowski J.M.V., Rafikov M., Balthazar J.M. Synchronization of the unified chaotic system and application in secure communication. Commun. Nonlinear Sci. Numer. Simulat. 2009, 14:2793-2806.
5. Chen H., Sheu G., Lin Y., Chen C. Chaos synchronization between two different chaotic systems via nonlinear feedback control. Nonlinear Anal. 2009, 70:4393-4401.
6. Lee S.M., Ji D.H., Park J.H., Won S.C. H∞ synchronization of chaotic systems via dynamic feedback approach. Phys. Lett. A 2008, 372:4905-4912.
7. Jianwen F., Ling H., Chen X., Austin F., Geng W. Synchronizing the noise-perturbed Genesio chaotic system by sliding mode control. Commun. Nonlinear Sci. Numer. Simulat. 2010, 15:2546-2551.
8. Cai N., Jing Y., Zhang S. Modified projective synchronization of chaotic systems with disturbances via active sliding mode control. Commun. Nonlinear Sci. Numer. Simulat. 2010, 15:1613-1620.
9. Yan J., Yang Y., Chiang T., Chen C. Robust synchronization of unified chaotic systems via sliding mode control. Chaos Soliton Fract. 2007, 34:947-954.
10. Yau H. Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Chaos Soliton Fract. 2004, 22:341-347.
11. Wang H., Han Z., Xie Q., Zhang W. Finite-time chaos synchronization of unified chaotic system with uncertain parameters. Commun. Nonlinear Sci. Numer. Simulat. 2009, 14:2239-2247.
12. Yau H., Shieh C. Chaos synchronization using fuzzy logic controller. Nonlinear Anal. RWA 2008, 9:1800-1810.
13. Chen C. Quadratic optimal neural fuzzy control for synchronization of uncertain chaotic systems. Expert Syst. Appl. 2009, 36:11827-11835.
14. Lin C., Peng Y., Lin M. CMAC-based adaptive backstepping synchronization of uncertain chaotic systems. Chaos Soliton Fract. 2009, 42:981-988.
15. Lin J., Yan J. Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal. RWA 2009, 10:1151-1159.
16. Yan J., Hung M., Liao T. Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters. J. Sound Vib. 2006, 298:298-306.
17. Yan J., Hung M., Chiang T., Yang Y. Robust synchronization of chaotic systems via adaptive sliding mode control. Phys. Lett. A 2006, 356:220-225.
18. Pourmahmood M., Khanmohammadi S., Alizadeh G. Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller. Commun. Nonlinear Sci. Numer. Simulat. 2011, 16:2853-2868.
19. Aghababa M.P., Khanmohammadi S., Alizadeh G. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique. Appl. Math. Model. 2011, 35:3080-3091.
20. Zhang G., Liu Z., Zhang J. Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters. Phys. Lett. A 2008, 372:447-450.
21. Chen X., Lu J. Adaptive synchronization of different chaotic systems with fully unknown parameters. Phys. Lett. A 2007, 364:123-128.
22. Zhang H., Huang W., Wang Z., Chai T. Adaptive synchronization between two different chaotic systems with unknown parameters. Phys. Lett. A 2006, 350:363-366.
23. Salarieh H., Shahrokhi M. Adaptive synchronization of two different chaotic systems with time varying unknown parameters. Chaos Soliton Fract. 2008, 37:125-136.
24. Ma J., Zhang A., Xia Y., Zhang L. Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems. Appl. Math. Comput. 2010, 215:3318-3326.
25. El-Gohary A. Optimal synchronization of Rossler system with complete uncertain parameters. Chaos Soliton Fract. 2006, 27:345-355.
26. El-Gohary A., Sarhan A. Optimal control and synchronization of Lorenz system with complete unknown parameters. Chaos Soliton Fract. 2006, 30:1122-1132.
27. Yu Y., Zhang S. Adaptive backstepping synchronization of uncertain chaotic system. Chaos Soliton Fract. 2004, 21:643-649.
28. Zhang L., Huang L., Zhang Z., Wang Z. Fuzzy adaptive synchronization of uncertain chaotic systems via delayed feedback control. Phys. Lett. A 2008, 372:6082-6086.
29. Li W., Chang K. Robust synchronization of drive-response chaotic systems via adaptive sliding mode control. Chaos Soliton Fract. 2009, 39:2086-2092.
30. Lin J., Yan J., Liao T. Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity. Chaos Soliton Fract. 2005, 24:371-381.
31. Yau H., Yan J. Chaos synchronization of different chaotic systems subjected to input nonlinearity. Appl. Math. Comput. 2008, 197:775-788.
32. Kebriaei H., Yazdanpanah M.J. Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity. Commun. Nonlinear Sci. Numer. Simulat. 2010, 15:430-441.
33. Utkin V.I. Sliding Modes in Control and Optimization 1992, Springer Verlag, Berlin.
34. Khalil H.-K. Nonlinear System 2002, Prentice Hall, New Jersey. third ed.