Sliding mode control and synchronization of chaotic systems with parametric uncertainties

Chaos, Solitons and Fractals

Volumn 41, Issue 3, 2009, Pages 1390-1400

  Feki, Moez ^a  

^a UNIVERSITY OF SFAX   (Tunisia)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; CONTROLLERS; LYAPUNOV FUNCTIONS; SLIDING MODE CONTROL; SYNCHRONIZATION;

ADAPTIVE SLIDING CONTROLLERS; CHAOTIC TRAJECTORY; CHATTERING PHENOMENON; FEEDBACK CONTROLLER; PARAMETRIC UNCERTAINTIES; SLIDING MANIFOLDS; SLIDING MODE CONTROLLER; SYNCHRONIZING CHAOS;

ADAPTIVE CONTROL SYSTEMS;

EID: 67249127890     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.05.022     Document Type: Article

References (24)

1. Schiff S., Jerger K., Duong D., Chang T., Spano M., and Ditto W. Controlling chaos in the brain. Nature 370 (1994) 615-620
2. Garfinkel A., Spano M.L., Ditto W.L., and Weiss J.N. Controlling cardiac chaos. Science 257 (1992) 1230-1235
3. Robert B., Iu H., and Feki M. Adaptive time-delayed feedback for chaos control in a pwm single phase inverter. J Circuits Syst Comput 13 3 (2004) 519-534
4. Robert B., Feki M., and Iu H. Control of a pwm inverter using proportional plus extended time-delayed feedback. Int J Bifurcation Chaos 16 1 (2006) 113-128
5. Di Bernardo M., and Tse C. Chaos in power electronics: an overview. In: Chen G., and Ueta T. (Eds). Chaos in circuits and systems vol. 11 (2002), World Scientific, New York 317-340 [chapter 16]
6. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys Rev Lett 64 (1990) 1196-1199
7. Boccaletti S., Grebogi C., Lai Y.-C., Mancini H., and Maza D. The control of chaos: theory and applications. Phys Rep 329 (2000) 103-197
8. Chen G. Controlling chaos and bifurcations in engineering systems (1999), CRC-Press
9. Zhang H., kui Ma X., Li M., and long Zou J. Controlling and tracking hyperchaotic rössler system via active backstepping design. Chaos, Solitons & Fractals 26 (2005) 353-361
10. Hwang C.-C., Hsieh J.-Y., and Lin R.-S. A linear continuous feedback control of Chua's circuit. Chaos, Solitons & Fractals 8 (1997) 1507-1515
11. Tian Y.-C., Tadé M.O., and Levy D. Constrained control of chaos. Phys Lett A 296 (2002) 87-90
12. Zou Y.-L., Luo X.-S., Jiang B.-H., Andwang P.-Q., Chen G., Fang J.-Q., et al. Controlling the chaotic n-scroll Chua's circuit. Int J Bifurcation Chaos 13 9 (2003) 2709-2714
13. Jiang G.-P., Chen G., and Tang W.K.-S. Stabilizing unstable equilibrium points of a class of chaotic systems using a state pi regulator. IEEE Trans Circuits Syst I 49 12 (2002) 1820-1826
14. Chang W., Park J., and Joo Y. Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties. Inform Sci 151 (2003) 227-244
15. Yu X., Chen G., Xia Y., Song Y., and Cao Z. An invariant-manifold-based method for chaos control. IEEE Trans Circuits Syst-I 48 8 (2001) 930-937
16. Konishi K., Hirai M., and Kokame H. Sliding mode control for a class of chaotic systems. Phys Lett A 245 (1998) 511-517
17. Lin J.-S., Yan J.-J., and Liao T.-L. Robust control of chaos in lorenz systems subject to mismatch uncertainties. Chaos, Solitons & Fractals 27 (2006) 501-510
18. Feki M. Model-independent adaptive control of Chua's system with cubic nonlinearity. Int J Bifurcation Chaos 14 12 (2004) 4249-4263
19. Vidyasagar M. Nonlinear Systems Analysis. second ed. (1993), Prentice Hall, New Jersey
20. Feki M. An adaptive feedback control of linearizable chaotic systems. Chaos, Solitons & Fractals 15 (2003) 883-890
21. Feki M. Synchronization of generalized lorenz system using adaptive controller. In: IFAC conference on analysis and control of chaotic systems CHAOS'06, Reims-France; 2006. p. CD-ROM.
22. Isidori A. Nonlinear control systems. 3rd ed. (1995), Springer-Verlag, United Kingdom
23. Wu T., and Chen M.-S. Chaos control of the modified Chua's circuit system. Physica D 164 (2002) 53-58
24. Khalil H.K. Nonlinear systems (1992), Macmillan, New York