Abstract:

To study synchronization control of delayed triangle chaotic systems, a delayed triangle chaotic system is designed and its chaotic dynamics is analyzed by the bifurcation diagram, Poincare map, power spectrum, the largest Lyapunov exponent and so on. The sliding-mode adaptive synchronization control scheme is proposed for the delayed triangle uncertain chaotic system. On the basis of the proposed chaotic systems, combining with the sliding mode control, the adaptive control technique is applied to achieve a single dimension signal controller. The experimental results show that the proposed sliding mode adaptive synchronization control scheme can realize chaotic synchronization for the delayed triangle uncertain chaotic system.

Key words: delayed triangle chaotic system, synchronization control, sliding mode control, adaptive control