TY - JOUR
T1 - Necessary and Sufficient Conditions on Negative Imaginariness for Interval SISO Transfer Functions and Their Interconnection
AU - Liu, Mei
AU - Lam, James
AU - Lin, Hong
AU - Jing, Xingjian
N1 - Funding Information:
Manuscript received September 19, 2018; revised March 10, 2019 and November 5, 2019; accepted November 15, 2019. Date of publication December 3, 2019; date of current version September 25, 2020. This work was supported in part by a general research fund of Hong Kong RGC Ref. 15206717 and in part by Tianjin University under Start-Up Grant 0701321009. Recommended by Associate Editor A. Lanzon. (Corresponding author: James Lam.) M. Liu is with the Department of Automation, School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China, and also with the Department of Mechanical Engineering, The University of Hong Kong, Hong Kong (e-mail: [email protected]).
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2020/10
Y1 - 2020/10
N2 - 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.
AB - 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.
KW - Interval systems
KW - Kharitonov's theorem
KW - negative imaginary systems
UR - http://www.scopus.com/inward/record.url?scp=85089549128&partnerID=8YFLogxK
U2 - 10.1109/TAC.2019.2957339
DO - 10.1109/TAC.2019.2957339
M3 - Journal article
AN - SCOPUS:85089549128
SN - 0018-9286
VL - 65
SP - 4362
EP - 4368
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 10
M1 - 8919984
ER -