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。
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 voltage regulator （AVR） ＋ power systems stabilizer （PSS） is illustrated in a single-machine infinite-bus （SMIB） system.
出处
《东北电力大学学报》
2009年第4期30-34,共5页
Journal of Northeast Electric Power University
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
bilinear matrix inequalities
linear matrix inequalities
saturation nonlinearity
excitation system
