Complete switched modified function projective synchronization of a five-term chaotic system with uncertain parameters and disturbances

Pramana

Fei Yu1 2¹  Chunhua Wang1¹  Qiuzhen Wan¹  Yan Hu¹ 

[1] College of Information Science and Engineering, Hunan University, Changsha 410082, People’s Republic of China$$

关键词: Five-term three-dimensional chaotic system;    complete switched modified function projective synchronization;    adaptive control;    uncertain parameters;    disturbances.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

A five-term three-dimensional (3D) autonomous chaotic system with an exponential nonlinear term is reported in this paper. Basic dynamical behaviours of the chaotic system are further investigated. Then a new synchronization phenomenon, complete switched modified function projective synchronization (CSMFPS), for this novel five-term chaotic system with uncertain parameters and disturbances is investigated. This paper extends previous work, where CSMFPS of chaotic systems means that all the state variables of the drive system synchronize with different state variables of the response system. As the synchronization scheme has many combined forms, it is a promising type of synchronization and can provide greater security in secure communication. Based on Lyapunov stability theory, a robust adaptive controller is contrived to acquire CSMFPS, parameter identification and suppress disturbances simultaneously. Finally, the Lorenz system and the new five-term chaotic system are taken as examples and the corresponding numerical simulations are presented to verify the effectiveness and feasibility of the proposed control scheme.

【 授权许可】

Unknown