6533b82cfe1ef96bd129000d
RESEARCH PRODUCT
Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer
Hamid Reza KarimiT. YoussefMohammed ChadliMimoun Zelmatsubject
Lyapunov stabilityPolynomialObserver (quantum physics)Article Subjectbusiness.industryApplied MathematicsMultiple integrallcsh:MathematicsChaoticlcsh:QA1-939Fuzzy logicVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Nonlinear Sciences::Chaotic DynamicsSecure communicationControl theorySynchronization (computer science)businessAnalysisMathematicsdescription
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/670878 Open Access 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Abstract and Applied Analysis |