Open AccessFuzzy adaptive H∞ synchronization of time-varying delayed chaotic systems with unknown parameters based on LMI technique
Author(s) -
Dongsheng Yang,
Huaguang Zhang,
Yan Zhao,
Chonghui Song,
Yingchun Wang
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1562
Subject(s) - synchronization (alternating current) , control theory (sociology) , linear matrix inequality , chaotic systems , computer science , chaotic , lyapunov stability , fuzzy logic , stability (learning theory) , mathematics , control (management) , mathematical optimization , artificial intelligence , machine learning , computer network , channel (broadcasting)
The synchronization problem of two time-varying delayed chaotic systems with unknown parameters is studied. A novel fuzzy adaptive H∞ control method is proposed to realize the synchronization of two time-varying delayed chaotic systems based on Lyapunov functional theory and linear matrix inequality techniques. The sufficient criterion for the stability of the synchronization error system is presented. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.