Adaptive H-infinity synchronization for uncertain chaotic systems with external disturbance

作者：Ahn Choon Ki^*; Jung Sung Tae; Kang Sun Kyung; Joo Su Chong

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(8): 2168-2177.

DOI：10.1016/j.cnsns.2009.08.009

• H-infinity Synchronization
• Adaptive control
• Chaotic systems
• Linear matrix inequality (LMI)
• Lyapunov stability theory

In this paper, we propose a new adaptive H-infinity synchronization scheme for chaotic systems with unknown parameter and external disturbance. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the adaptive H-infinity synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H-infinity norm constraint. The proposed controller with adaptive law can be obtained by solving the LMI problem. The adaptive H-infinity synchronization problems for Chua's chaotic system and hyperchaotic Rossler system are presented to show the effectiveness of the proposed chaos synchronization scheme.

• 出版日期2010-8