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连续Takagi-Sugeno模糊系统的局部H∞控制

DOI: 10.3724/SP.J.1004.2013.02170, PP. 2170-2176

Keywords: Takagi-Sugeno模糊系统,非平行控制律,H∞性能,线性矩阵不等式

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Abstract:

?针对含有外部扰动的连续Takagi-Sugeno模糊系统,本文给出了抑制这种扰动的局部H∞控制新方法.首先,应用拉格朗日极值法给出了新的界定隶属函数导数的条件,与现有文献相比该条件有两个优点:1)能够将Lyapunov水平集必须包含在紧集C中的要求转化为线性矩阵不等式(Linearmatrixinequality,LMI);2)能够找出比现有文献大的稳定区域.然后,基于此条件得到了局部H∞控制定理.最后通过两个仿真算例证明了该方法的有效性.

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