振动二阶Sylvester矩阵方程鲁棒解法及仿真分析

Robust solution to vibration second-order Sylvester matrix equation and its simulation analysis

考虑了具有参数不确定的振动二阶Sylvester矩阵方程求解问题。基于二阶Sylvester矩阵方程解的参数化表达式,将具有参数不确定的振动二阶Sylvester矩阵方程求解问题转化为误差性能指标极小化问题。提出了求解具有参数不确定的振动二阶Sylvester矩阵方程问题的算法。数值算例及仿真分析验证了所提算法的有效性。

A problem of solving a class of vibration second-order Sylvester matrix equations with parame- ters＇ perturbation is investigated. Based on a parametric solution to the vibration second-order Sylvester matrix equation, the problem of solving the vibration second-order Sylvester matrix equation with parameters~ pertur- bation is changed into a problem of minimizing the error performance. Thus an algorithm to solve the vibration second-order Sylvester matrix equation with parameters＇ perturbation is presented. A numerical example and its simulation analysis show the effectiveness of the proposed algorithm.