摘要
本文研究了线性定常系统LQ逆问题解的存在性问题,给出了逆问题解的参数化公式,得到了加权矩阵Q与开环、闭环特征多项式系数之间的解析关系。只要给定一组稳定的闭环极点,即可确定与之对应的Q阵。
In this paper, the existence of the solutions of LQ inverse problems is studied for linear time-invariant systems. The parametric formula of the solutions of inverse problems are given. The analysis relations among the wegthing matrix Q and coefficients of the open-loop and closed-loop characteristic polynomials are obtained. Upon the given stable closed-loop poles, the matrix Q can correspondingly be determined.
出处
《自动化学报》
EI
CSCD
北大核心
1992年第4期475-481,共7页
Acta Automatica Sinica
关键词
线性系统
LQ逆问题
LQ inverse problem
weighting matrix
characteristic polynomial
