H-Infinity Optimal Control for Systems With a Bottleneck Frequency

• 成果类型: Article
• 署名作者: Bergeling, Carolina; Pates, Richard; Rantzer, Anders
• 署名单位: Lund University; Lund University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3010263
• 发表日期: 2021
• 页码: 2732-2738
• 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

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.