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

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/078/03/0361-0374

• # Keywords

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

• # Abstract

In this paper, we propose a new adaptive $\mathcal_{\infty}$ synchronization strategy, called an adaptive fuzzy delayed feedback $\mathcal_{\infty}$ 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 $\mathcal_{\infty}$ control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed $\mathcal_{\infty}$ 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.

• # Author Affiliations

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

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019