Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (8): 1009-1018.doi: https://doi.org/10.1007/s10483-010-1336-6

• Articles • 上一篇    下一篇

Generalized passivity-based chaos synchronization

C.K.AHN   

  1. Faculty of the Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570749, Korea
  • 收稿日期:2009-10-19 修回日期:2010-05-09 出版日期:2010-07-23 发布日期:2010-08-01

Generalized passivity-based chaos synchronization

C.K.AHN   

  1. Faculty of the Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570749, Korea
  • Received:2009-10-19 Revised:2010-05-09 Online:2010-07-23 Published:2010-08-01

摘要: In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

Abstract: In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

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