Robust chaos synchronization based on adaptive fuzzy delayed feedback $mathcal{H}_{∞}$ control

Pramana

Choon Ki Ahn1¹ 

[1] Faculty of the Department of Automotive Engineering, Seoul National University of Science & Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Korea$$

关键词: Chaos synchronization;    Takagi–Sugeno (T–S) fuzzy model;    adaptive $mathcal_{∞}$ control;    linear matrix inequality (LMI);    delayed feedback control.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we propose a new adaptive $mathcal_{∞}$ synchronization strategy, called an adaptive fuzzy delayed feedback $mathcal_{∞}$ synchronization (AFDFHS) strategy, for chaotic systems with uncertain parameters and external disturbances. Based on Lyapunov–Krasovskii theory, Takagi–Sugeno (T–S) fuzzy model and adaptive delayed feedback $mathcal_{∞}$ control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed $mathcal_{∞}$ performance. It is shown that the design of the AFDFHS controller with adaptive law can be achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed AFDFHS approach.

【 授权许可】

Unknown