Open Access
2013 Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer
T. Youssef, M. Chadli, H. R. Karimi, M. Zelmat
Abstr. Appl. Anal. 2013(SI40): 1-11 (2013). DOI: 10.1155/2013/670878


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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T. Youssef. M. Chadli. H. R. Karimi. M. Zelmat. "Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer." Abstr. Appl. Anal. 2013 (SI40) 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095218
MathSciNet: MR3081586
Digital Object Identifier: 10.1155/2013/670878

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI40 • 2013
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