Open AccessFuzzy‐model‐based sampled‐data chaotic synchronisation under the input constraints consideration
Author(s) -
Kim Han Sol,
Park Jin Bae,
Joo Young Hoon
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5117
Subject(s) - chaotic , control theory (sociology) , fuzzy logic , computer science , controller (irrigation) , mathematics , synchronization (alternating current) , control (management) , artificial intelligence , topology (electrical circuits) , combinatorics , agronomy , biology
In this study, the authors propose a novel sampled‐data fuzzy chaotic synchronisation scheme under the input constraints consideration. The sampled‐data chaos synchronisation controller feedbacks the synchronisation error between the state vectors of both the drive chaotic system and the response chaotic system at a constant sampling period. The chaotic synchronisation is achieved by stabilising the synchronisation error dynamics based on the H‐infinity criterion. Linear matrix inequality‐based sufficient conditions for synchronising two identical chaotic systems are derived based on the newly proposed time‐dependent fuzzy Lyapunov–Krasovskii functional. Unlike previous approaches, the modelling error term is fully addressed so as to enhance the synchronisation performance. Finally, the effectiveness of the proposed method is validated through a numerical example.