An Algebraic Formula for Performance Bounds of a Weighted H∞ Optimal Control Problem

• 成果类型: Article
• 署名作者: Peters, Andres A.; Vargas, Francisco J.; Chen, Jie
• 署名单位: Universidad Tecnologica Metropolitana; Universidad Tecnica Federico Santa Maria; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2982135
• 发表日期: 2021
• 页码: 781-786
• 关键词: Discrete-time systems; H-infinity control; performance bounds

摘要

This article provides performance bounds for a particular H-infinity model-matching problem. We consider scalar linear time-invariant plants in a one-degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's theorem is applied to this problem, leading to a simple algebraic equation for the optimal performance. This formula sheds light upon the effect that nonminimum-phase zeros have on the optimal performance and yields easily computable bounds and approximations.