Abstract
In this paper, we propose a new H synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H® norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.
| Original language | English |
|---|---|
| Pages (from-to) | 151-160 |
| Number of pages | 10 |
| Journal | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences |
| Volume | 66 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2011 Apr |
| Externally published | Yes |
Keywords
- Chaotic Systems
- H∞ Synchronization
- Lyapunov-Krasovskii Theory
- Takagi-Sugeno (TS) Fuzzy Model
- Time-Varying Delay
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry