Linear Matrix Inequality Method for a Quadratic Performance Index Minimization Problem with a class of Bilinear Matrix Inequality Conditions
Linear Matrix Inequality Method for a Quadratic Performance Index Minimization Problem with a class of Bilinear Matrix Inequality Conditions
复制标题
一类双线性矩阵不等式条件的二次性能指标最小化问题的线性矩阵不等式方法
DOI：
10.1088/1742-6596/744/1/012047
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
M. Tanemura and Y. Chida
中科院分区：
文献类型：
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作者：
種村 昌也;千田 有一;種村昌也，千田有一，関口彰太，小林弘幸;M. Tanemura and Y. Chida
控制系统存在许多设计问题，这些问题都表示为BMI条件下的性能指标最小化问题。然而，最小化问题表示为线性矩阵不等式可以很容易地解决，因为线性矩阵不等式的凸性质。因此，许多研究人员一直在研究将各种控制设计问题转化为用线性矩阵不等式表示的凸极小化问题。针对一类BMI条件下的二次性能指标极小化问题，提出了一种LMI方法。本文所处理的最小化问题包括切换系统的状态反馈增益设计等问题，通过切换系统的状态反馈增益设计和利用所设计的反馈增益进行的数值仿真，验证了所提方法的有效性。
There are a lot of design problems of control system which are expressed as a performance index minimization under BMI conditions. However, a minimization problem expressed as LMIs can be easily solved because of the convex property of LMIs. Therefore, many researchers have been studying transforming a variety of control design problems into convex minimization problems expressed as LMIs. This paper proposes an LMI method for a quadratic performance index minimization problem with a class of BMI conditions. The minimization problem treated in this paper includes design problems of state-feedback gain for switched system and so on. The effectiveness of the proposed method is verified through a state-feedback gain design for switched systems and a numerical simulation using the designed feedback gains.