| 一类双线性矩阵不等式松弛解法的应用 |
| |
| 引用本文： | 李江,钟越红,迟作为.一类双线性矩阵不等式松弛解法的应用[J].东北电力学院学报,2009,29(4):30-34. |
| |
| 作者姓名： | 李江 钟越红 迟作为 |
| |
| 作者单位： | 李江(东北电力大学,电气工程学院,吉林,吉林,132012);钟越红(华北电力大学,电气与电子工程学院,北京,102206);迟作为(吉林供电公司,吉林,吉林,132001) |
| |
| 摘 要： | 在饱和系统反馈控制律的求解中涉及到求解双线性矩阵不等式问题,介绍了一种求解一类双线性矩阵不等式的松弛解法.通过使用一个标量因子,采用迭代策略,将双线性矩阵不等式的求解转化为线性矩阵不等式的求解问题,降低了控制律求解的计算量.最后,在单机无穷大系统中,通过与传统的自动电压调节器(AVR)+电力系统稳定器(PSS)的控制策略相比,证明了应用该方法获得的控制律是有效的.
|
| 关 键 词： | 双线性矩阵不等式 线性矩阵不等式 饱和非线性 励磁系统 |
Application of Relaxation Solution for a Class of Bilinear Matrix Inequalities |
| |
| LI Jiang,ZHONG Yue-hong_,CHI Zuo-wei.Application of Relaxation Solution for a Class of Bilinear Matrix Inequalities[J].Journal of Northeast China Institute of Electric Power Engineering,2009,29(4):30-34. |
| |
| Authors: | LI Jiang ZHONG Yue-hong_ CHI Zuo-wei |
| |
| Affiliation: | LI Jiang~(1,3),ZHONG Yue-hong_2,CHI Zuo-wei (1.Electrical Engineering College of Northeast Dianli University,Jilin,132012,2.Automation Engineering College of Northeast Dianli University,3.Electric , Electronic Engineering College of North China Electric Power University,Beijing,102206) |
| |
| Abstract: | This paper uses a relaxation method to solve the bilinear matrix inequalities(BMI) optimization, which is presented in design of feedback control in saturation system.The method deals with the convex optimization problem using iterative scheme after getting scalar factor.The problem of BMI is transformed into that of linear matrix inequalities(LMI).Therefore,the calculation in design of feedback control is simplied by using this method.Finally,the validity of the method compared with conventional automatic ... |
| |
| Keywords: | bilinear matrix inequalities linear matrix inequalities saturation nonlinearity excitation system |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
