Abstract
In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 1009-1018 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Mechanics (English Edition) |
| Volume | 31 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2010 Aug |
| Externally published | Yes |
Keywords
- Chaotic systems
- Linear matrix inequality (LMI)
- Lyapunov theory
- Passivity-based synchronization
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics