Chaos Synchronization of Uncertain Lorenz System via Single State Variable Feedback

Fengxiang Chen, Tong Zhang

School of Automotive Studies, Tongji University, Shanghai, China；Clean Energy Automotive Engineering Center, Tongji University, Shanghai, China.

DOI: 10.4236/am.2013.411A2002                

Abstract

This paper treats the problem of chaos synchronization for uncertain Lorenz system via single state variable information of the master system. By the Lyapunov stability theory and adaptive technique, the derived controller is featured as follows: 1) only single state variable information of the master system is needed; 2) chaos synchronization can also be achieved even if the perturbation is occurred in some parameters of the master chaotic system. Finally, the effectiveness of the proposed controllers is also illustrated by the simulations as well as rigorous mathematical proofs.

Keywords

Uncertain Lorenz System; Single State Variable; Chaos Synchronization

Conflicts of Interest

The authors declare no conflicts of interest.

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