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Fuzzy controller synthesis for nonlinear neutral state-delayed systems with impulsive effects
Information Sciences ( IF 8.1 ) Pub Date : 2020-11-12 , DOI: 10.1016/j.ins.2020.11.001
Jinsen Zhang , Wu-Hua Chen , Xiaomei Lu , Jing Wen

The state feedback fuzzy controller synthesis for nonlinear neutral state-delayed systems with impulsive effects is addressed. A methodology for stability analysis of the underlying systems is proposed in the framework of system augmentation. New impulse-timer-dependent Lyapunov functions based analysis techniques, including a Razumikhin-type technique and a Lyapunov functional technique, are developed allowing to reduce the conservativeness of the stability conditions. To circumvent the difficulty in designing control gain matrices, the stability conditions of the closed-loop system are formulated in terms of dilated linear matrix inequalities (LMIs). By virtue of the nice properties of the dilated LMIs, the fuzzy controller synthesis is established. Three illustrative examples are presented to demonstrate the novelty of the new stability criteria and the effectiveness of the proposed design method.



中文翻译:

具有脉冲效应的非线性中立型时滞系统的模糊控制器合成

研究了具有脉冲效应的非线性中立型时滞系统的状态反馈模糊控制器综合。在系统扩充的框架中,提出了用于基础系统的稳定性分析的方法。新的基于脉冲计时器的基于Lyapunov函数的分析技术得到了发展,包括Razumikhin型技术和Lyapunov函数技术,可降低稳定性条件的保守性。为了避免设计控制增益矩阵的困难,根据膨胀线性矩阵不等式(LMI)制定了闭环系统的稳定性条件。借助于膨胀的LMI的良好特性,建立了模糊控制器综合。

更新日期:2020-11-12
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