Abstract
We study the simplified control for a novel class of four-dimensional (4-D) fractionalorder chaos in this paper. Firstly, a novel class of 4-D fractional-order chaos is introduced, which can express many actual projects. Secondly, a new simplified controller based on sliding mode theory which needs only one single control input is designed for the control of the proposed class systems. Furthermore, the controller can stabilize the systems with uncertainty and external disturbance. Finally, numerical simulations including 4-D fractional-order hyperchaos, 4-D Lorenz-Stenflo chaos as a special case and three-dimensional (3-D) simplified fractional-order Lorenz chaos as another special case are employed to demonstrate the universality and effectiveness of the sliding mode. The proposed scheme can be easily generalized to similar fractional-order chaos.
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