Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer | Zendy

Tarek Youssef | Zendy; Mohammed Chadli | Zendy; Hamid Reza Karimi | Zendy; M. Zelmat | Zendy

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Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer

Author(s) -

Tarek Youssef,

Mohammed Chadli,

Hamid Reza Karimi,

M. Zelmat

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/670878

Subject(s) - mathematics , control theory (sociology) , chaotic , fuzzy logic , observer (physics) , synchronization (alternating current) , lyapunov stability , stability (learning theory) , computer science , topology (electrical circuits) , control (management) , artificial intelligence , physics , quantum mechanics , combinatorics , machine learning

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

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