Necessary and Sufficient Conditions on Negative Imaginariness for Interval SISO Transfer Functions and Their Interconnection

• Published in: IEEE transactions on automatic control Vol. 65; no. 10; pp. 4362 - 4368
• Main Authors: Liu, Mei, Lam, James, Lin, Hong, Jing, Xingjian
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Interval systems; Kharitonov's theorem; Mechanical engineering; negative imaginary systems; Parameter uncertainty; Robust control; Robustness; Stability analysis; Transfer functions; Uncertain systems; Uncertainty

This article is concerned with the study of the negative imaginariness of interval transfer functions. Necessary and sufficient conditions for (strictly) negative imaginary interval transfer functions subject to parameter uncertainty are first derived based on Kharitonov's theorem. Then, certai...