Multiobjective control via successive over‐bounding of quadratic terms
Multiobjective control via successive over‐bounding of quadratic terms
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DOI：
10.1002/rnc.997
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发表时间：
2005-05
影响因子：
3.9
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
本文讨论了针对多种设计规范的不太保守的控制设计。用一组线性矩阵不等式（LMI）来描述问题，并用非公共LMI解来求解，以减少在过去的结果中寻求公共LMI解所产生的保守性。注意到完成平方可以将双线性矩阵不等式（BMI）项中的两个变量拆分为两个不同的LMI项，我们提出了一种迭代算法，其中非正二次项依次被其上界取代。包括一个图解示例。版权所有©2005 John Wiley & Sons， Ltd
This paper addresses less conservative control design for multiple design specifications. Problems are described by a set of linear matrix inequalities (LMIs) and solved with non‐common LMI solutions in order to reduce the conservatism arising from seeking a common LMI solution in the past results. Noticing that completing the square can split two variables in bilinear matrix inequality (BMI) terms into two different LMI ones, we propose an iterative algorithm in which non‐positive quadratic terms are successively replaced by their upper bounds. An illustrated example is included. Copyright © 2005 John Wiley & Sons, Ltd.