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Fuzzy Modeling and H¥ Synchronization of Different Hyperchaotic Systems via T–S Models |
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PP: 193-200 |
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Author(s) |
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Yan Zhao,
Tieyan Zhang,
Dongsheng Yang,
Xiaohui Zhang,
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Abstract |
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In this paper, a unified fuzzy H¥ control approach is proposed to deal with the problem of synchronization of two different
hyperchaotic systems. The T–S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical
hyperchaotic systems exactly. Based on the T–S fuzzy hyperchaotic models, a fuzzy H¥ synchronization controller is designed via
parallel distributed compensation (PDC) techniques. The sufficient condition for the H¥ synchronization of two different hyperchaotic
systems is derived by applying Lyapunov stability theory. The results are expressed in terms of LMIs, and therefore it is very convenient
to check in practice. This method is a universal one for synchronization of two different hyperchaotic systems. Numerical examples are
given to demonstrate the validity of the proposed fuzzy modeling and hyperchaotic synchronization scheme. |
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