LQ regulator design method for system with delay based on spectral decomposition of the hamiltonian
LQ regulator design method for system with delay based on spectral decomposition of the hamiltonian
复制标题
基于哈密顿谱分解的时滞系统LQ调节器设计方法
DOI：
10.1080/00207178808906068
复制
发表时间：
1988
影响因子：
2.1
通讯作者：
T. Kubo
中科院分区：
文献类型：
--
作者：
E. Shimemura;K. Uchida;T. Kubo
提出了一种时滞系统LQ调节器的设计方法。它是基于一种新的技术组成的解决方案的无限维Riccati方程使用谱分解的哈密顿量。这种设计方法的特点是闭环极点可以由开环极点和一个标量设计参数先验地计算出来，这样我们就可以选择参数来获得一个最优控制律，从而使闭环系统达到期望的指数稳定度。
A design method to construct an LQ regulator for a system with time-delay is proposed. It is based on a new technique for composing the solution of an infinite-dimensional Riccati equation using the spectral decomposition of the hamiltonian. This design method has the feature that the closed-loop poles can be calculated a priori from the open-loop poles and one scalar design parameter, so that we can choose the parameter to obtain an optimal control law which results in the desired degree of exponential stability of the closed-loop system.