Controlling fractional order chaotic systems based on Takagi-Sugeno fuzzy model and adaptive adjustment mechanism |
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Authors: | Yongai Zheng Yibei Nian |
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Institution: | a Department of Computer, Yangzhou University, Yangzhou, 225009, PR China b School of Energy and Power Engineering, Yangzhou University, Yangzhou, 225009, PR China |
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Abstract: | In this Letter, a kind of novel model, called the generalized Takagi-Sugeno (T-S) fuzzy model, is first developed by extending the conventional T-S fuzzy model. Then, a simple but efficient method to control fractional order chaotic systems is proposed using the generalized T-S fuzzy model and adaptive adjustment mechanism (AAM). Sufficient conditions are derived to guarantee chaos control from the stability criterion of linear fractional order systems. The proposed approach offers a systematic design procedure for stabilizing a large class of fractional order chaotic systems from the literature about chaos research. The effectiveness of the approach is tested on fractional order Rössler system and fractional order Lorenz system. |
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Keywords: | Chaos control Fractional order T-S fuzzy model Adaptive adjustment mechanism |
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