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Adaptive synchronisation of unified chaotic system via sliding mode control with cubic reaching law

ABSTRACT An adaptive synchronisation is achieved using sliding mode control while incorporating cubic reaching law for unified chaotic systems subject to unknown disturbances. In order to estimate the upper bound value of incoming disturbances, an adaptive rule is analytically introduced in the sense of Lyapunov stability theory to establish an adaptive sliding mode controller based on cubic reaching law. The theoretical derivations are validated through numerous simulation results. The obtained results confirm the robust performance of the proposed controller.