Abstract
In this paper, we propose a new adaptive synchronization method, called a fuzzy adaptive delayed feedback synchronization (FADFS) method, for time-delayed chaotic systems with uncertain parameters. An FADFS controller that is based on the LyapunovKrasovskii theory, TakagiSugeno (TS) fuzzy model, and delayed feedback control is developed to guarantee adaptive synchronization. The proposed controller can be obtained by solving the linear matrix inequality (LMI) problem. A numerical example using a time-delayed Lorenz system is discussed to assess the validity of the proposed FADFS method.
| Original language | English |
|---|---|
| Pages (from-to) | 3253-3267 |
| Number of pages | 15 |
| Journal | International Journal of Modern Physics B |
| Volume | 25 |
| Issue number | 23-24 |
| DOIs | |
| Publication status | Published - 2011 Sept 30 |
| Externally published | Yes |
Keywords
- Adaptive synchronization
- LyapunovKrasovskii theory
- TakagiSugeno (TS) fuzzy model
- delayed feedback control
- linear matrix inequality (LMI)
- time-delayed chaotic systems
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Condensed Matter Physics