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

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...

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Published inIEEE transactions on automatic control Vol. 65; no. 10; pp. 4362 - 4368
Main Authors Liu, Mei, Lam, James, Lin, Hong, Jing, Xingjian
Format Journal Article
LanguageEnglish
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
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Abstract 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, certain properties of the interconnection system with negative imaginary interval transfer functions are analyzed. Finally, an example is provided to illustrate the main results of the article.
AbstractList 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, certain properties of the interconnection system with negative imaginary interval transfer functions are analyzed. Finally, an example is provided to illustrate the main results of the article.
Author Lam, James
Lin, Hong
Jing, Xingjian
Liu, Mei
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Snippet This article is concerned with the study of the negative imaginariness of interval transfer functions. Necessary and sufficient conditions for (strictly)...
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SubjectTerms Interval systems
Kharitonov's theorem
Mechanical engineering
negative imaginary systems
Parameter uncertainty
Robust control
Robustness
Stability analysis
Transfer functions
Uncertain systems
Uncertainty
Title Necessary and Sufficient Conditions on Negative Imaginariness for Interval SISO Transfer Functions and Their Interconnection
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