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

页码：2732 / 2738

页数：7

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