振动二阶线性系统的鲁棒特征结构配置设计及其仿真

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (4): 922-926.

振动二阶线性系统的鲁棒特征结构配置设计及其仿真

段红梅

中国地质大学研究生院, 北京, 100083

收稿日期:2008-03-15 修回日期:2008-05-20 出版日期:2009-04-20 发布日期:2010-01-03
作者简介:段红梅(1965- ),女,副教授,博士,主要研究方为控制理论和信息系统.E-mail:duanhm@cugb.edu.cn

Robust eigenstructure assignment design in vibration second-order linear systems and its simulation

DUAN Hong-mei

Graduate School, China Univ. of Geosciences, Beijing 100083

Received:2008-03-15 Revised:2008-05-20 Online:2009-04-20 Published:2010-01-03

摘要/Abstract

摘要： 考虑了振动二阶线性系统的鲁棒特征结构配置设计问题。基于振动矩阵方程的参数化解,提出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。该参数化方法给出了状态反馈控制律的参数化表达式,其所含参数向量为控制系统设计提供了全部自由度。利用该参数化法提供的自由度,给出了振动二阶线性系统鲁棒特征结构配置问题的优化求解方法,其中优化的是衡量系统鲁棒性的灵敏度指标。数值算例及其仿真结果表明,所提振动二阶线性系统的状态反馈特征结构配置算法和鲁棒特征结构配置算法简单且有效,便于工程应用。

Abstract: The design problem of robust eigenstructure assignment in a class of vibration second-order linear systems is investigated.Based on the parametric solutions to the vibration matrix equation,a parametric method of state feedback eigenstructure assignment in the vibration second-order linear system is presented.The proposed parametric method gives the parametric expression for all the state feedback control law,whose parameter vectors offer all the design degrees of freedom.Based on the degrees of freedom offered by the parametric method,an optimization method to solve the robust eigenstructure assignment in the vibration second-order linear systems is pointed out,in which the sensitivity performances to measure the system’s robustness are optimized.An illustrative example and its simulation results show the algorithms of state feedback eigenstructure assignment and robust eigenstructure assignment in vibration second-order linear systems are simple and effective,thus they are convenient to use in engineering.

中图分类号:

TP13
TP273

段红梅. 振动二阶线性系统的鲁棒特征结构配置设计及其仿真[J]. Journal of Systems Engineering and Electronics, 2009, 31(4): 922-926.

DUAN Hong-mei. Robust eigenstructure assignment design in vibration second-order linear systems and its simulation[J]. Journal of Systems Engineering and Electronics, 2009, 31(4): 922-926.

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