应用稳定控制器的加权灵敏度最小化问题

Weighted Sensitivity Minimization with a Stable Controller

中文关键词:  套代数  加权灵敏度最小化  强稳定化.

英文关键词:nest algebra  weighted sensitivity minimization  strong stabilization.

中文摘要:

      本文主要在应用稳定控制器的条件下,考虑了线性时不变和时变系统的加权灵敏度最小化问题.该问题可以转化为一个算子到某个套代数的距离问题.对于得到的距离问题,我们还给出了最优稳定控制器的存在性与计算.

英文摘要:

      In this paper, we mainly consider weighted sensitivity minimization by a stable controller for linear time-invariant and time-varying systems. The problem is reduced to a distance problem from an operator to the nest algebra. And we give the existence and its computation of an optimal stable controller for the distance problem.