Graphical Nonlinear System Analysis

• 成果类型: Article
• 署名作者: Chaffey, Thomas; Forni, Fulvio; Sepulchre, Rodolphe
• 署名单位: University of Cambridge; KU Leuven
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3234016
• 发表日期: 2023
• 页码: 6067-6081
• 关键词: Graphical analysis; incremental input; output stability; Nonlinear systems; Nyquist criterion

摘要

We use the recently introduced concept of a scaled relative graph (SRG) to develop a graphical analysis of input-output properties of feedback systems. The SRG of a nonlinear operator generalizes the Nyquist diagram of an LTI system. In the spirit of classical control theory, important robustness indicators of nonlinear feedback systems are measured as distances between SRGs.