Synchronization of Discrete Chaotic Systems Based on Uncertainty Compensated by Ls-svr

A chaotic system owns complex dynamics though it is with deterministic expression in mathematics, and it has attractived numerous study and application in many fields of the world. But for a concrete application, it is usually with parameters uncertainty while it is implemented. In this paper synchronization of discrete-time chaotic systems with parameters and/or structure uncertainty is researched, in which the uncertainty is modelled by using least square support vector regression(LS-SVR) to eliminate syncronization error. A novel synchronization control law that guarantees closed-loop robust stability is proposed. Synchronizing of the well-known Hénon chaotic system and Lozi chaotic system, Burgers’ map and Holmes cubic map, are taken as illustrative examples. The chaotic systems in both examples are uncertain in parameters and structure. Experimental results demonstrate the effectiveness and feasiblility of the proposed synchronization method.