摘要
本文通过系统的开环极点和闭环极点，给出了单输入最优控制系统中Ｑ矩阵的一种解析表达式．根据这一结果，我们不仅可以求得ＬＱ最优控制指标函数中的Ｑ矩阵，而且还可以将它作为判别ＬＱ逆问题解存在的充分条件．
This paper presents an analytical solution to the LQ inverse problem for systems with single input control variable in terms of the eigenvalues of both open-loop system and closed loop system. By utilizing this result, the weighting matrices Q and R can be easily obtained, and the sufficient condition for the exsitence of LQ inverse problem is immediate as well.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1996年第3期400-403,共4页
Control Theory & Applications
关键词
LQ逆问题
最优控制
Q矩阵
解析解
LQ inverse problem
optimal control
weighting matrices
eigenvalues
