Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique

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• 作者：Mohammad Pourmahmood Aghababa ; ^a ; ^{m.pour13@gmail.com} ; Sohrab Khanmohammadi^a ; Ghassem Alizadeh^a
• 关键词：Chaos ; Finite-time control ; Nonsingular terminal sliding mode ; Unknown parameter
• 刊名：Applied Mathematical Modelling
• 出版年：2011
• 出版时间：June 2011
• 年：2011
• 卷：35
• 期：6
• 页码：3080-3091
• 全文大小：415 K

文摘

In this paper, the problem of finite-time chaos synchronization between two different chaotic systems with fully unknown parameters is investigated. First, a new nonsingular terminal sliding surface is introduced and its finite-time convergence to the zero equilibrium is proved. Then, appropriate adaptive laws are derived to tackle the unknown parameters of the systems. Afterwards, based on the adaptive laws and finite-time control idea, an adaptive sliding mode controller is proposed to ensure the occurrence of the sliding motion in a given finite time. It is mathematically proved that the introduced sliding mode technique has finite-time convergence and stability in both reaching and sliding mode phases. Finally, some numerical simulations are presented to demonstrate the applicability and effectiveness of the proposed technique.