Tracking of Super Chaotic System with Static Uncertain Functions and Unknown Parameters

The tracking of a four dimension super chaotic system with unknown parameters and uncertain static functions is researched in this paper and a robust adaptive tracking law is designed according to the Lyapunov stability theorem. Especially, the multi-unknown functions and parameters are solved by designing of adaptive turning law. It is a meaningful method both in theory and in engineering practice because the multi-input multi output system considered in this paper is complex and close to the secrete communication situation, in which the tracking and synchronization of chaotic system is usually applied.