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Adaptive fuzzy decentralised control for fractional-order interconnected nonlinear systems with input saturation
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2021-03-09 , DOI: 10.1080/00207721.2021.1895359
Yongliang Zhan 1 , Shuai Sui 1 , Shaocheng Tong 1
Affiliation  

This paper studies the fuzzy decentralised control issue for the fractional-order interconnected nonlinear systems with input saturation. The fuzzy logic systems (FLSs) and piecewise functions are used to approximate unknown nonlinear continuous functions and the input saturation of the considered systems. Under the frameworks of the backstepping control design technique and adaptive fuzzy decentralised control theory, an adaptive fuzzy decentralised control strategy is proposed. In view of fractional-order Lyapunov stability theory, it confirms the stability of the control plants and the convergence of the tracking errors. Finally, two simulation examples are applied to confirm the practicability and validity of the presented control strategy, in which, one is the two-order numerical fractional-order large-scale systems, the other one is the fractional-order permanent magnet synchronous motor (PMSM) model.



中文翻译:

具有输入饱和的分数阶互联非线性系统的自适应模糊分散控制

本文研究了具有输入饱和的分数阶互联非线性系统的模糊分散控制问题。模糊逻辑系统 (FLS) 和分段函数用于逼近未知非线性连续函数和所考虑系统的输入饱和度。在反步控制设计技术和自适应模糊分散控制理论的框架下,提出了一种自适应模糊分散控制策略。鉴于分数阶Lyapunov稳定性理论,它证实了控制对象的稳定性和跟踪误差的收敛性。最后,通过两个仿真实例验证了所提出控制策略的实用性和有效性,其中一个是二阶数值分数阶大规模系统,

更新日期:2021-03-09
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