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- Title
Robust chaos synchronization based on adaptive fuzzy delayed feedback ${\bf{\mathcal{H}}}_{\bf{\infty}}$ control.
- Authors
AHN, CHOON
- Abstract
In this paper, we propose a new adaptive $\mathcal H_\infty$ synchronization strategy, called an adaptive fuzzy delayed feedback $\mathcal H_\infty$ 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 $\mathcal H_\infty$ control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed $\mathcal{H}_{\infty }$ 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.
- Subjects
FUZZY control systems; SYNCHRONIZATION; ERROR analysis in mathematics; DATA analysis; MATHEMATICAL analysis; CHAOS theory
- Publication
Pramana: Journal of Physics, 2012, Vol 78, Issue 3, p361
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-011-0239-4