Multiobjective control design via successive over-bounding of quadratic terms
Multiobjective control design via successive over-bounding of quadratic terms
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DOI：
10.1109/cdc.2000.914226
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发表时间：
2000-12
期刊：
影响因子：
--
通讯作者：
T. Shimomura;T. Fujii
中科院分区：
文献类型：
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作者：
T. Shimomura;T. Fujii
解决了多种设计规范的不太保守的控制设计问题。尽管问题是通过一组 LMI（线性矩阵不等式）来描述的，但它们是用非常规 LMI 解来解决的，以减少因寻求通用 LMI 解而产生的保守性。注意到完成平方可以将 BMI（双线性矩阵不等式）项中的两个变量拆分为两个不同的 LMI 项，我们提出了迭代算法，同时用其上限替换非正二次项。在这些上限中适当选择参数可以保证收敛性。其中包含一个示例。
Addresses less conservative control design for multiple design specifications. Although problems are described by a set of LMIs (linear matrix inequalities), they are solved with non-common LMI solutions to reduce the conservatism arising from seeking a common LMI solution. Noticing that completing the square can split two variables in BMI (bilinear matrix inequality) terms into two different LMI ones, we propose iterative algorithms while replacing non-positive quadratic terms by their upper bounds. A suitable choice of the parameters in these upper bounds guarantees the convergence property. An example is included.