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Novel Fuzzy Modeling and Synchronization of Chaotic Systems with Multinonlinear Terms by Advanced Ge-Li Fuzzy Model
Li S.-Y.1; Tam L.-M.1; Tsai S.-E.3; Ge Z.-M.3
2016-10-01
Source PublicationIEEE Transactions on Cybernetics
ISSN21682267
Volume46Issue:10Pages:2228-2237
AbstractGe and Li proposed an alternative strategy to model and synchronize two totally different nonlinear systems in the end of 2011, which provided a new version for fuzzy modeling and has been applied to several fields to simplify their modeling works and solve the mismatch problems [1]-[17]. However, the proposed model limits the number of nonlinear terms in each equation so that this model could not be used in all kinds of nonlinear dynamic systems. As a result, in this paper, a more efficient and comprehensive advanced-Ge-Li fuzzy model is given to further release the limitation and improve the effectiveness of the original one. The novel fuzzy model can be applied to all kinds of complex nonlinear systems-this is the universal strategy and only m × 2 fuzzy rules as well as two linear subsystems are needed to simulate nonlinear behaviors (m is the number of states in a nonlinear dynamic system), whatever the nonlinear terms are copious or complicated. Further, the fuzzy synchronization of two nonlinear dynamic systems with totally distinct structures can be achieved via only two sets of control gains designed through the novel fuzzy model as well as its corresponding fuzzy synchronization scheme. Two complicated dynamic systems are designed to be the illustrations, Mathieu-Van der pol system with uncertainties and Quantum-cellular neural networks nano system with uncertainties, to show the effectiveness and feasibility of the novel fuzzy model.
KeywordComplicated nonlinear system Ge-Li fuzzy model synchronizations of systems with distinct structures
DOI10.1109/TCYB.2015.2473660
URLView the original
Language英語
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Cited Times [WOS]:9   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Institute for the Development and Quality
2.Universidade de Macau
3.National Chiao Tung University Taiwan
Recommended Citation
GB/T 7714
Li S.-Y.,Tam L.-M.,Tsai S.-E.,et al. Novel Fuzzy Modeling and Synchronization of Chaotic Systems with Multinonlinear Terms by Advanced Ge-Li Fuzzy Model[J]. IEEE Transactions on Cybernetics,2016,46(10):2228-2237.
APA Li S.-Y.,Tam L.-M.,Tsai S.-E.,&Ge Z.-M..(2016).Novel Fuzzy Modeling and Synchronization of Chaotic Systems with Multinonlinear Terms by Advanced Ge-Li Fuzzy Model.IEEE Transactions on Cybernetics,46(10),2228-2237.
MLA Li S.-Y.,et al."Novel Fuzzy Modeling and Synchronization of Chaotic Systems with Multinonlinear Terms by Advanced Ge-Li Fuzzy Model".IEEE Transactions on Cybernetics 46.10(2016):2228-2237.
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