H-Infinity Optimal Control for Systems With a Bottleneck Frequency

被引：13
作者：
Bergeling, Carolina [1 ,2 ]
Pates, Richard [1 ,2 ]
Rantzer, Anders [1 ,2 ]
机构：
[1] Lund Univ, Dept Automat Control, SE-22100 Lund, Sweden
[2] Lund Univ, ELLIIT Strateg Res Area, Lund, Sweden
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 06期
基金：
瑞典研究理事会;
关键词：
Optimal control; Frequency control; Sparse matrices; Large-scale systems; Frequency synthesizers; Buildings; Distributed control; H-infinity control; linear systems; network analysis and control; optimal control; DISTRIBUTED CONTROL; DESIGN;
D O I：
10.1109/TAC.2020.3010263
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We characterize a class of systems for which the H-infinity optimal control problem can be simplified in a way that enables sparse solutions and efficient computation. For a subclass of the systems, an optimal controller can be explicitly expressed in terms of the matrices of the system's state-space representation. In many applications, the controller given by this formula, which is static, can be implemented in a decentralized or distributed fashion. Examples are temperature dynamics in buildings, water irrigation, and electrical networks.
引用
收藏
页码：2732 / 2738
页数：7
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