鲁棒状态反馈特征结构配置  

Robust state feedback eigenstrucutre assignment

作　　者：吴爱国[1] 段广仁[1] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150001

出　　处：《黑龙江大学自然科学学报》2004年第3期57-63,共7页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金(69504002)

摘　　要：在文献[8]的基础上提出鲁棒状态反馈特征结构配置问题。以矩阵Sylvester方程的显式通解为基础,将问题转化为含有系统自由参数的带有约束条件的优化问题。给出求解优化问题的所有梯度公式。本方法可使闭环极点在一定的希望区域内参与优化,这样既可有效地顾及到系统的性能又适用于单输入或单输出系统,仿真例子说明了设计方法的有效性。The problem of robust state feedback eigenstructure assignment is proposed according to the reference [8]. Based on an explicit general solution to a type of Sylvester matrix equations, the problem is converted into a problem of the optimization with constraints. All the necessary formulas of the partial derivative are given. Furthermore, the dosed-loop eigenvalues can also be regarded as the optimizing parameters subject to the expected regions. In that case, not only can the performance of the systems be guaranteed but also the SI\SO systems can be treated. A simulation example is given to illustrate the effect of the proposed method.

关 键 词：线性系统 鲁棒性 状态反馈 特征结构配置 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]