In this paper, we propose a new adaptive H ∞ synchronization strategy, called an adaptive fuzzy delayed feedback H ∞ 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 H ∞ control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed H8 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.
- Adaptive H control
- Chaos synchronization
- Delayed feedback control
- Linear matrix inequality (LMI)
- Takagi-Sugeno (T-S) fuzzy model
ASJC Scopus subject areas
- Physics and Astronomy(all)