Chaos control and synchronization via a novel chatter free sliding mode control strategy

Neurocomputing

Volumn 74, Issue 17, 2011, Pages 3212-3222

  Li, Huaqing ^a   Liao, Xiaofeng ^a   Li, Chuandong ^a   Li, Chaojie ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Chaos control; Chaos synchronization; Chatter free; Sliding mode control (SMC); Uncertain chaotic systems

Indexed keywords

CHAOS CONTROL; CHAOS SYNCHRONIZATION; CHATTER FREE; CONTROL INPUTS; DIFFERENTIAL OPERATORS; FIRST DERIVATIVE; FREE CONTROL; IN-CONTROL; LYAPUNOV STABILITY THEORY; SIGN FUNCTION; SLIDING MODE CONTROL (SMC); SLIDING MODE SURFACE; SLIDING MODES; STABILITY ANALYSIS;

MATHEMATICAL OPERATORS; SLIDING MODE CONTROL; SYNCHRONIZATION;

CHAOTIC SYSTEMS;

ARTICLE; CHAOTIC DYNAMICS; COMPUTER SIMULATION; CONTROL STRATEGY; CONTROL SYSTEM; FEASIBILITY STUDY; INTERMETHOD COMPARISON; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NONLINEAR SYSTEM; PRIORITY JOURNAL; PROCESS OPTIMIZATION; SLIDING MODE CONTROL; THEORY VALIDATION; UNCERTAINTY; VALIDATION PROCESS;

EID: 80052954689     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2011.05.002     Document Type: Article

References (40)

1. Yau H.T., Chen C.L. Chatter-free fuzzy sliding mode control strategy for uncertain chaotic systems. Chaos, Solitons & Fractals 2006, 30:709-718.
2. Layeghi H., Arjmand M.T., Salarieh H., Alasty A. Stabilizing periodic orbits of chaotic systems using fuzzy adaptive sliding mode control. Chaos, Solitons & Fractals 2008, 37:1125-1135.
3. Dadras S., Momeni H.R., Majd V.J. Sliding mode control for uncertain new chaotic dynamical system. Chaos, Solitons & Fractals 2009, 41:1857-1862.
4. Peng C.C., Chen C.L. Robust chaotic control of Lorenz system by backstepping design. Chaos, Solitons & Fractals 2008, 37:598-608.
5. Chen B., Liu X.P., Tong S.C. Adaptive fuzzy approach to control unified chaotic systems. Chaos, Solitons & Fractals 2007, 34:1180-1187.
6. Ott E., Grebogi C., Yorke J.A. Controlling chaos. Physical Review Letters 1990, 64:1196-1199.
7. Vincent T.L., Yu J. Control of a chaotic system. Dynamics and Control 1991, 1:35-52.
8. Yeap T.H., Ahmed N.U. Feedback control of chaotic systems. Dynamics and Control 1994, 4:97-114.
9. El-Gohary A., Sarhan A. Optimal control and synchronization of Lorenz system with complete unknown parameters. Chaos, Solitons & Fractals 2006, 30:1122-1132.
10. Gallegos J.A. Chaotic behavior of orbits close to a heteroclinic contour. Dynamics and Control 1994, 4:227-298.
11. Fuh C.C., Tung P.C. Controlling chaos using differential geometric method. Physical Review Letters 1995, 75:2952-2955.
12. Zeng Y., Singh S.N. Adaptive control of chaos in Lorenz system. Dynamics and Control 1997, 7:143-154.
13. Feki M. An adaptive feedback control of linearizable chaotic system. Chaos, Solitons & Fractals 2003, 15:883-890.
14. Hua C., Guan X., Shi P. Adaptive feedback control for a class of chaotic systems. Chaos, Solitons & Fractals 2005, 23:757-765.
15. Guan X., Chen C. Adaptive fuzzy control for chaotic systems with H∞ tracking performance. Fuzzy Set System 2003, 139:81-93.
16. Wang J., Qiao G.D., Deng B. H∞ variable universe adaptive fuzzy control for chaotic system. Chaos, Solitons & Fractals 2005, 24:1075-1086.
17. Chen B., Liu X., Tong S. Adaptive fuzzy approach to control unified chaotic systems. Chaos, Solitons & Fractals 2007, 34:1180-1187.
18. Tao C.H. Dislocated feedback synchronization of Lorenz chaotic system. Physics Letters A 2006, 348:201-209.
19. Feng G., Chen G. Adaptive control of discrete-time chaotic systems: a fuzzy control approach. Chaos, Solitons & Fractals 2005, 23:459-467.
20. Chang J.F., Hung M.L., Yang Y.S., Liao T.L. Controlling chaos of the family of Rössler systems using sliding mode control. Chaos, Solitons & Fractals 2008, 37:609-622.
21. Yan H.T., Yan J.J. Design of sliding mode controller for Lorenz chaotic system with nonlinear input. Chaos, Solitons & Fractals 2004, 19:891-898.
22. Utkin V.I. Sliding Mode Control in Discrete-Time and Difference Systems, Control and Information 1992, Springer, New York.
23. Slotine J.J.E., Li W.P. Applied Nonlinear Control 1991, Prentice-Hall Inc, Englewood Cliffs, (pp. 40-99).
24. Konishi K., Hirai M., Kokame H. Sliding mode control for a class of chaotic systems. Physics Letters A 1998, 245:511-517.
25. N. Sadati, A. Talasaz, Robust fuzzy multimodel control using variable structure systems, in: Proceedings of the 2004 IEEE Conference on Cybernetics and Intelligent Systems, Singapore, vol. 1, 2004 29-34.
26. Peng Y.F. Robust intelligent sliding mode control using recurrent crebellar mode articulation controller for uncertain nonlinear chaotic systems. Chaos, Solitons & Fractals 2009, 39:150-167.
27. Konishi K., Hirai M., Kokame H. Sliding mode control for a class of chaotic systems. Physics Letters A 1998, 245:511-519.
28. Jang M.J., Chen C.L., Chen C.K. Sliding mode control of chaos in the cubic Chua's circuit system. International Journal Bifurcation and Chaos 2002, 12:1437-1449.
29. Guo H., Liu S., Liu J. A radial basis function sliding mode controller for chaotic Lorenz system. Physics Letters A 2006, 351:257-261.
30. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population 1992, Kluwer, Academic Publishers, Dordrecht.
31. Liu C.X., Liu T., Liu L., Liu K. A new chaotic attractor. Chaos, Solitons & Fractals 2004, 22:1031-1038.
32. Lü J.H., Chen G.R., Zhang S. Dynamical analysis of a new chaotic attractor coined. International Journal Bifurcation and Chaos 2002, 12:2917-2926.
33. Solak E., Morgül Ö., Ersoy U. Observer-based control of a class of chaotic systems. Physics Letters A 2001, 297:47-55.
34. Dadras S., Momeni H.R., Majd V.J. Sliding mode control for uncertain new chaotic dynamical system. Chaos, Solitons & Fractals 2009, 41:1857-1862.
35. Leu Y.G., Wang W.Y., Li I.H. RGA-based on-line tuning of BMF fuzzy-neural networks for adaptive control of uncertain nonlinear systems. Neurocomputing 2009, 72:2636-2642.
36. Hsu C.F., Cheng K.H. Recurrent fuzzy-neural approach for nonlinear control using dynamic structure learning scheme. Neurocomputing 2008, 71:3447-3459.
37. Sun Y.H., Cao J.D., Wang Z.D. Exponential synchronization of stochastic perturbed chaotic delayed neural networks. Neurocomputing 2007, 70(13-15):2477-2485.
38. Yuan K. Robust synchronization in arrays of coupled networks with delay and mixed coupling. Neurocomputing 2009, 72:1026-1031.
39. Sheng L., Yang H. Exponential synchronization of a class of neural networks with mixed time-varying delays and impulsive effects. Neurocomputing 2008, 71:3666-3674.
40. Song Q. Synchronization analysis of coupled connected neural networks with mixed time delays. Neurocomputing 2008, 72:3907-3914.