An adaptive feedback controller with observer for linearizable chaotic systems

Control and Intelligent Systems

Volumn 35, Issue 2, 2007, Pages 162-168

  Boulkroune, A ^a   Chekireb, M ^b   Tadjine, M ^b   Bouatmane, S ^a  

^a UNIVERSITY OF JIJEL   (Algeria)

^b ECOLE NATIONALE POLYTECHNIQUE   (Algeria)

Author keywords

Adaptive feedback control; Chaos control; Chaotic system synchronization; Chaotic systems; H control; Observer

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; LYAPUNOV FUNCTIONS; SYNCHRONIZATION; SYSTEM STABILITY; THEOREM PROVING;

ADAPTIVE FEEDBACK CONTROL; CHAOS CONTROL; CHAOTIC SYSTEM SYNCHRONIZATION;

FEEDBACK CONTROL;

EID: 34250218613     PISSN: 14801752     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. G. Chen, Controlling chaos and bifurcations in engineering systems (Boca Raton, PL: CRC Press, 1999).
2. M.J. Ogorzalek, Taming chaos - Part I: Synchronization; Part II: Control, IEEE Trans. on Circuits and Systems I, 40, 1993, 695-706.
3. E.H. Abed, H.O. Wang, & A. Tesi, The control handbook (Boca Raton, FL: CRC Press, 1995).
4. G. Chen & X. Dong, From chaos to order-methodologies, perspectives and applications (Singapore: World Scientific, 1998).
5. C.C. Hwang, J.Y. Hsieh, & R.S. Lin, A linear continuous feedback control of Chua's circuit, Chaos, Solitons and Fractals, 8, 1997, 1507-1515.
6. C.C. Hwang, R.F. Fung, J.Y. Hsieh, & R.S. Lin, A nonlinear feedback control of the Lorenz equation, International Journal of Engineering Sciences, 37, 1999, 1893-1900.
7. S.K. Yang, C.L. Chen, & H.T. Yau, Control of chaos in Lorenz system, Chaos, Solitons and Fractals, 13, 2002, 767-780.
8. J.K. John & A.E. Amritkar, Synchronisation by feedback and adaptive control, International Journal of Bifurcation and Chaos, 4(6), 1994, 1687-1695.
9. M.D. Bernardo, An adaptive approach to the control and synchronisation of continuous-time chaotic systems, International Journal of Bifurcation and Chaos, 3, 1996, 557-568.
10. C. Wang & S. Ge, Adaptive synchronisation of uncertain chaotic systems via backstepping design, Chaos, Solitons and Fractals, 12, 2001, 1199-1206.
11. S. Chen & J. Lü, Synchronisation of an uncertain unified chaotic system via adaptive control, Chaos, Solitons and Fractals, 14, 2002, 643-647.
12. M. Feki, An adaptive feedback controller of linearizable chaotic systems, Chaos, Solitons and Fractals, 15, 2003, 883-890.
13. E. Solak, Ö. Morgül, & U. Ersoy, Observer-based control of a class of chaotic systems, Physics Letters A, 279(1), 2001, 47-55.
14. L.X. Wang, Adaptive fuzzy systems and control: Design and stability (Englewood Cliffs, NJ: Prentice-Hall, 1994).
15. S. Tong, H.-X. Li, & W. Wang, Observer-based adaptive fuzzy control for SISO nonlinear systems, Fuzzy Sets and Systems, 148(3), 2004, 355-376.
16. P.A. Ionnou & J. Sun, Robust adaptive control (Upper Saddle River, NJ: Prentice-Hall, 1996).
17. H.T. Yau, Design of adaptive sliding mode controller for chaos synchronisation with uncertainties, Chaos, Solitons and Fractals, 22, 2004, 341-347.
18. A.H. Nayfeh, Applied nonlinear dynamics (New York: Wiley, 1995).