Chaos Synchronization Using Sliding Mode Technique

In this paper, an effective sliding mode design is applied to chaos synchronization. The proposed controller can make the states of two identical modified Chua-s circuits globally asymptotically synchronized. Numerical results are provided to show the effectiveness and robustness of the proposed method.




References:
[1] Boccaletti S, Kurths J, Osipov G, Valladares DL, Zhou CS. The
synchronization of chaotic systems. Phys Rep 2002; 366: 1-101.
[2] Nijmeijer H, Mareels Iven MY. An observer looks at synchronization.
IEEE Trans Circ Syst I 1997; 44 (10): 882-90.
[3] E. Bai and K.E. Lonngrn, "Sequential synchronization of two Lorenz
systems using active control", Chaos Solitons Fractals 11 (2000), pp.
1041.
[4] Hung JY et al., "Variable structure control: a survey", IEEE Trans
Indust Electron 1993; 40: 2-22.
[5] Young KD et al., "A control engineer-s guide to sliding mode control",
IEEE Trans Control Systems Technol 1999; 7: 328-42.
[6] T.T. Hartley, "The duffing double scroll", in: Proceedings of the
American Control Conference, Pittsburgh, PA, June 1989, pp. 419-423.