Synchronization of chaotic systems using adaptive T-S fuzzy terminal sliding-function control

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作者
Huang, Yun-Cheng [1 ]
Li, Tzuu-Hseng S. [2 ]
机构
[1] Department of Computer and Communication Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan
[2] Department of Electrical Engineering, National Cheng Kung University, Tainan 70101, Taiwan
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This paper presents an adaptive Takgi-Sugeno (T-S) fuzzy terminal sliding-function controller (AFTSFC) approach to synchronize two chaotic systems with parameter mismatch. First; an appropriate terminal sliding function (TSF) is designed and then represented by the T-S fuzzy model. The T-S fuzzy terminal sliding-function (FTSF) is applied to the control law. Different from classical terminal sliding mode control; which uses a discontinuous switching control law; the FTSF control uses a continuous control law and thus avoids the chattering problem. The linear matrix inequality (LMI) problem is solved to obtain the initial feedback control gain; and the adaptive law of the control gain is adapted online to estimate parametric mismatch. Based on the Lyapunov stability theory; the AFTSFC guarantees that the error of synchronization is uniformly ultimately bounded (UUB); i.e; the drive and response chaotic systems can be synchronized with only a small bounded error. The simulation results demonstrate that the proposed method is able to provide a satisfactory synchronization performance. © 2014 SERSC;
D O I
10.14257/ijca.2014.7.2.25
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页码:263 / 282
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