Phase Limitations of Multipliers at Harmonics

• 成果类型: Article
• 署名作者: Heath, William P.; Carrasco, Joaquin; Zhang, Jingfan
• 署名单位: University of Manchester
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3271855
• 发表日期: 2024
• 页码: 566-573
• 关键词: Absolute stability; Lur'e systems; multiplier theory

摘要

The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable O'Shea-Zames-Falb (OZF) multiplier. We develop a numerically tractable phase condition under which there can be no suitable OZF multiplier for the transfer function of a given continuous-time plant. We provide its graphical interpretation. The condition may be tested in a systematic manner and leads to significantly improved results compared with the condition in the literature from which it is derived. Our results are useful to evaluate the performance of numerical searches for OZF multipliers.