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线性中立型时滞系统的可达集的椭圆形边界(英)

, PP. 563-566

Keywords: 可达集,中立型时滞系统,LyapunovKrasovskii型泛函

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Abstract:

可达集是界定带有扰动的系统的状态轨迹的集合.可达集的椭圆型边界可以用来设计带有扰动的可控系统.研究了带有有界峰值扰动的线性中立型时滞系统的可达集的椭圆形边界问题,考虑的延时是时变的,但满足一定的约束.基于改进的LyapunovKrasovskii型泛函,依据LyapunovKrasovskii稳定性定理,得到了只含有一个标量的以矩阵不等式表示的时滞相关的结论,而且当固定此标量参数时,所得结论就以线性矩阵不等式的形式给出.最后,用一个算例验证了所得结论的可行性.特别地,带有饱和的执行器的线性系统的可达集的椭圆型边界越小,就可以允许更大的控制器增益矩阵,这就会使系统具有更好的性能.

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