Quadratic stabilizability for polytopic uncertain continuous-time switched linear systems via switched observer
Quadratic stabilizability for polytopic uncertain continuous-time switched linear systems via switched observer
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DOI：
10.1109/med.2011.5983100
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发表时间：
2011-06
期刊：
影响因子：
--
通讯作者：
T. Soga;N. Otsuka
中科院分区：
文献类型：
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作者：
T. Soga;N. Otsuka
本文研究了不确定连续时间线性切换系统的估计状态反馈二次镇定问题，其中子系统的矩阵表示为顶点矩阵的多面体线性组合。首先，总结了多面体不确定连续线性切换系统状态反馈可二次镇定的充分条件。其次，给出了多面体不确定线性切换系统通过估计状态反馈可二次镇定的充分条件。所得结果是文[14]中结果在具有切换输出的多面体不确定子系统中的推广。最后给出了一个数值算例。
In this paper, we study a quadratic stabilizability problem via estimated state feedback for uncertain continuous-time switched linear systems whose subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via estimated state feedback are presented. The obtained result is an extension of the result of [14] to the polytopic uncertain subsystems with switched outputs. Further, a numerical example is also investigated.