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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Chaos synchronization based on unknown input proportional multiple-integral fuzzy observer
Abstract and Applied Analysis, Volume 2013, Article 670878, Year 2013
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Description
This paper presents an unknown input Proportional Multiple-Integral Observer (PIO) for synchronization of chaotic systems based on Takagi-Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input with kth derivative zero. Using Lyapunov stability theory, sufficient design conditions for synchronization are proposed. The PIO gains matrices are obtained by resolving linear matrix inequalities (LMIs) constraints. Simulation results show through two TS fuzzy chaotic models the validity of the proposed method. © 2013 T. Youssef et al.
Authors & Co-Authors
Youssef, T.
Unknown Affiliation
Chadli, M.
Unknown Affiliation
Karimi, Hamid Reza
Unknown Affiliation
Zelmat, Mimoune
Unknown Affiliation
Statistics
Citations: 11
Authors: 4
Affiliations: 4
Identifiers
Doi:
10.1155/2013/670878
ISSN:
10853375
e-ISSN:
16870409