A Fuzzy Control Strategy to Synchronize Fractional-Order Nonlinear Systems Including Input Saturation

被引:26
作者
Berardehi, Zahra Rasooli [1 ]
Zhang, Chongqi [1 ]
Taheri, Mostafa [1 ]
Roohi, Majid [1 ,2 ]
Khooban, Mohammad Hassan [2 ]
机构
[1] Guangzhou Univ, Sch Econ & Stat, Guangzhou 510006, Peoples R China
[2] Aarhus Univ, Dept Elect & Comp Engn, Aarhus, Denmark
关键词
SLIDING MODE CONTROL; FINITE-TIME SYNCHRONIZATION; CHAOTIC SYSTEMS; NEURAL-NETWORKS; ROBUST; STABILIZATION; DESIGN;
D O I
10.1155/2023/1550256
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
One of the most important engineering problems, with numerous uses in the applied sciences, is the synchronization of chaos dynamical systems. This paper introduces a dynamic-free T-S fuzzy sliding mode control (TSFSMC) method for synchronizing the different chaotic fractional-order (FO) systems, when there is input saturation. Using a new definition of fractional calculus and the fractional version of the Lyapunov stability theorem and linear matrix inequality concept, a Takagi-Sugeno fuzzy sliding mode controller is driven to suppress and synchronize the undesired behavior of the FO chaotic systems without any unpleasant chattering phenomenon. Finally, an example of synchronization of complex power grid systems is provided to illustrate the theoretical result of the paper in real-world applications.
引用
收藏
页数:18
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