Abstract
In this paper, we propose a new adaptive H∞ synchronization scheme for chaotic systems with unknown parameter and external disturbance. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the adaptive 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 with adaptive law can be obtained by solving the LMI problem. The adaptive H∞ synchronization problems for Chua's chaotic system and hyperchaotic Rössler system are presented to show the effectiveness of the proposed chaos synchronization scheme.
Original language | English |
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Pages (from-to) | 2168-2177 |
Number of pages | 10 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 15 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2010 Aug |
Externally published | Yes |
Keywords
- Adaptive control
- Chaotic systems
- H Synchronization
- Linear matrix inequality (LMI)
- Lyapunov stability theory
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics