Adaptive H_∞ Chaos Anti-synchronization

A new adaptive H_∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an H_∞ norm constraint. As an application of the proposed AHAS method, the H_∞anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.