Fuzzy-model-based sampled-data chaotic synchronisation under the input constraints consideration

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.