Abstract
This paper proposes a new robust anti-synchronization scheme for nonlinear chaotic systems with external disturbance via passivity theory. The proposed anti-synchronization controller ensures that the anti-synchronization error system is passive from external disturbance to output based on Lyapunov theory and linear matrix inequality (LMI) formulation. Without external disturbance, it guarantees asymptotic stability. Our new controller can be constructed by solving the LMI feasibility problem. Via the simulation study for the Genesio-Tesi chaotic system, we demonstrate the effectiveness of the proposed anti-synchronization scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 107-114 |
| Number of pages | 8 |
| Journal | Communications on Applied Nonlinear Analysis |
| Volume | 20 |
| Issue number | 2 |
| Publication status | Published - 2013 |
| Externally published | Yes |
Keywords
- Linear matrix inequality (LMI)
- Lyapunov stability theory
- Nonlinear chaotic systems
- Passivity based anti-synchronization
- Robust synchronization
ASJC Scopus subject areas
- Analysis
- Applied Mathematics