Journal
MODERN PHYSICS LETTERS B
Volume 24, Issue 2, Pages 211-224Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021798491002224X
Keywords
H-infinity synchronization; time-delayed chaotic systems; linear matrix inequality (LMI); Takagi-Sugeno (T-S) fuzzy model; delayed feedback control
Funding
- Wonkwang University
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In this letter, we propose a new H-infinity synchronization method, called a delayed feedback fuzzy H-infinity synchronization (DFFHS) method, for time-delayed chaotic systems with external disturbance. Based on Lyapunov-Krasovskii theory, T-S fuzzy model, and delayed feed back control scheme, the DFFHS controller is presented to not only guarantee aymptotical synchronization but also reduce the effect of external disturbance to an H-infinity norm constraint. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A numerical example for time-delayed Lorenz system is presented to demonstrate the validity of the proposed DFFHS method.
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