A Nevanlinna--Pick Approach to Time-Domain Constrained i Control
A Nevanlinna--Pick Approach to Time-Domain Constrained i Control
复制标题
时域约束控制的Nevanlinna Pick方法
DOI：
10.1137/s0363012993249882
复制
发表时间：
1996
影响因子：
2.2
通讯作者：
H. Rotstein
中科院分区：
文献类型：
--
作者：
H. Rotstein
本文利用广义Nevanlinna-Pick理论解决线性定常离散时间系统的时域约束i$控制问题。首先，它表明，如果约束只施加在有限的水平（即，仅在前$n$个样本上），则该问题简化为有限维凸最小化问题。随后，它表明，如果这些问题是方便地修改，然后让地平线长度去无穷大产生的无限地平线问题的解决方案。
In this paper, generalized Nevanlinna--Pick theory is used to solve a time-domain constrained $i$ control problem for linear time-invariant discrete-time systems. First it is shown that if constraints are imposed only over a finite horizon (i.e., only on the first $n$ samples), then the problem reduces to a finite-dimensional convex minimization problem. Subsequently it is shown that if these problems are conveniently modified, then letting the horizon length go to infinity produces a solution to the infinite-horizon problem.