Synchronization of Discrete-Time Chaotic Fuzzy Systems by means of Fuzzy Output Regulation Using Genetic Algorithm

The synchronization of chaotic systems, described by discrete-time T-S fuzzy models, is treated by means of fuzzy output regulation theory. The conditions for designing a discrete-time output regulator are given in this paper. Besides, when the system does not fulfill the conditions for exact tracki...

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Published inMathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 18
Main Authors Tapia-Herrera, Ricardo, Meda-Campaña, Jesús Alberto, Rodríguez Valdez, Jorge, Curtidor López, A. Verónica, Hernández-Cortés, Tonatiuh, Rubio, José de Jesús
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
Hindawi Limited
Subjects
Chromosomes
Control theory
Discrete time systems
Error analysis
Evolution
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Genetic algorithms
Mathematical models
Optimization
Partial differential equations
Regulation
Regulators
Synchronism
Synchronization
Time synchronization
Tracking errors
Mexico
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Summary:The synchronization of chaotic systems, described by discrete-time T-S fuzzy models, is treated by means of fuzzy output regulation theory. The conditions for designing a discrete-time output regulator are given in this paper. Besides, when the system does not fulfill the conditions for exact tracking, a new regulator based on genetic algorithms is considered. The genetic algorithms are used to approximate the adequate membership functions, which allow the adequate combination of local regulators. As a result, the tracking error is significantly reduced. Both the Complete Synchronization and the Generalized Synchronization problem are studied. Some numerical examples are used to illustrate the effectiveness of the proposed approach.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2015/198371