鲁棒状态反馈特征结构配置

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。

Robust state feedback eigenstrucutre assignment

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.