H2Model Reduction Using LMIs
H2Model Reduction Using LMIs
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使用 LMI 简化 H2 模型
DOI：
10.1109/cdc.2005.1583103
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Kanno
中科院分区：
文献类型：
--
作者：
M. Kanno
本文考虑了连续和离散时间 MIMO 系统的 H2 降阶近似问题。提出了一种启发式算法，该算法利用以一组 LMI 和矩阵秩约束表示的充分必要条件以及交替投影方法。还建议了一种寻找起点的方法。采用三个数值示例来展示起点选择的有效性以及算法找到至少与其他方法一样好的近似值的能力。
This paper considers the problem of H2reduced order approximation for both continuous and discrete time MIMO systems. A heuristic algorithm is proposed that utilizes necessary and sufficient conditions expressed in terms of a set of LMIs and a matrix rank constraint, and the alternating projection method. Also a method of finding starting points is suggested. Three numerical examples are employed to show the effectiveness of the choice of starting points and the capability of the algorithm to find at least as good approximants as other methods.