振动二阶Sylvester矩阵方程鲁棒解法及仿真分析

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (2): 443-447.

振动二阶Sylvester矩阵方程鲁棒解法及仿真分析

蔡昭权^1,2, 王国胜³, 单东升³

1. 惠州学院网络中心, 广东, 惠州, 516007;
2. 清华大学计算机科学与技术系, 北京, 100084;
3. 装甲兵工程学院控制工程系, 北京, 100072

收稿日期:2007-11-08 修回日期:2008-02-08 出版日期:2009-02-20 发布日期:2010-01-03
作者简介:蔡昭权(1970- ),男,副教授,硕士,主要研究方向为计算机网络和人工智能控制.E-mail;caizhaoquan@21cn.com

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

CAI Zhao-quan^1,2, WANG Guo-sheng³, SHAN Dong-sheng³

1. Network Center, Huizhou Univ., Huizhou 516015, China;
2. Computer Science & Technology, Tsinghua Univ., Beijing 100084, China;
3. Dept. of Control Engineering, Academy of Armored Force Engineering, Beijing 100072, China

Received:2007-11-08 Revised:2008-02-08 Online:2009-02-20 Published:2010-01-03

摘要/Abstract

摘要： 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.

Abstract: A problem of solving a class of vibration second-order Sylvester matrix equations with parameters' 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' perturbation 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.

中图分类号:

TP13

蔡昭权, 王国胜, 单东升. 振动二阶Sylvester矩阵方程鲁棒解法及仿真分析[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 443-447.

CAI Zhao-quan, WANG Guo-sheng, SHAN Dong-sheng. Robust solution to vibration second-order Sylvester matrix equation and its simulation analysis[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 443-447.

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