Decoupling Periodic Systems: An Algebraic Approach

• 成果类型: Article
• 署名作者: Kucera, Vladimir
• 署名单位: Czech Technical University Prague
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3579639
• 发表日期: 2025
• 关键词: feedback

摘要

This article addresses the problem of row-by-row (or diagonal) decoupling of discrete-time linear multiinput multioutput systems with periodic time-varying coefficients using periodic state feedback. Previous solutions have tackled row-by-row decoupling using dynamic compensation for square systems and block decoupling through regular state feedback for nonsquare systems with more outputs than inputs. While it appears likely that a row-by-row state feedback solution for square systems can be deduced from these findings, a direct argument seems more appropriate here as it presents a natural extension for decoupling nonsquare systems with more inputs than outputs. This extension, which necessitates nonregular state feedback, has yet to be explored for periodic systems. Our approach is purely algebraic, based on a time-invariant representation of the periodic system.