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

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

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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.

Inspec keywords: nonlinear control systems; chaos; linear matrix inequalities; synchronisation; stability; sampled data systems; fuzzy control; Lyapunov methods; feedback

Other keywords: constant sampling period; H-infinity criterion; synchronisation performance; fuzzy-model-based sampled-data chaotic synchronisation; modelling error term; identical chaotic systems synchronisation; state vectors; linear matrix inequality-based sufficient conditions; synchronisation error dynamics stabilisaion; sampled-data chaos synchronisation controller; drive chaotic system; response chaotic system; input constraints; time-dependent fuzzy Lyapunov–Krasovskii functional; sampled-data fuzzy chaotic synchronisation; feedback

Subjects: Discrete control systems; Linear algebra (numerical analysis); Fuzzy control; Optimal control; Nonlinear control systems; Stability in control theory

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2018.5117
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