Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control

This paper presents a robust fuzzy sliding mode control (FSMC) scheme for the synchronization of two chaotic nonlinear gyros subject to uncertainties and external disturbances. In the FSMC scheme, the reaching law required to drive the error state trajectory of the master–slave system to the sliding surface is inferred by a set of fuzzy logic rules based upon the output of a sliding mode controller (SMC). The feasibility and effectiveness of the FSMC scheme are demonstrated via a numerical simulation. The numerical results demonstrate the ability of the FSMC scheme to synchronize the chaotic gyro systems using a single control input and reveal that the control signal is chatter free. As a result, compared with conventional switching controllers, the proposed scheme has a lower implementation cost and complexity.