TY - GEN
T1 - Realizations of biquadratic impedances as five-element bridge networks containing one inductor and one capacitor
AU - Chen, Michael Z.Q.
AU - Wang, Kai
AU - Li, Chanying
AU - Chen, Guanrong
PY - 2014/9/11
Y1 - 2014/9/11
N2 - This paper is concerned with the realization problem of biquadratic impedances as a five-element bridge network with one inductor and one capacitor. First, a group of networks that can handle all the cases are listed, which are classified as three quartets. Then, together with the principle of duality, the realizability conditions of two quartets among them are derived. In the process of the derivation, the realizability conditions based on the existence of positive roots that satisfy certain conditions are converted into the conditions only in terms of the coefficients of the function. Finally, utilizing a canonical form of biquadratic functions, combining the conditions yields a necessary and sufficient condition for any biquadratic impedance to be realizable as a five-element bridge network with one inductor and one capacitor.
AB - This paper is concerned with the realization problem of biquadratic impedances as a five-element bridge network with one inductor and one capacitor. First, a group of networks that can handle all the cases are listed, which are classified as three quartets. Then, together with the principle of duality, the realizability conditions of two quartets among them are derived. In the process of the derivation, the realizability conditions based on the existence of positive roots that satisfy certain conditions are converted into the conditions only in terms of the coefficients of the function. Finally, utilizing a canonical form of biquadratic functions, combining the conditions yields a necessary and sufficient condition for any biquadratic impedance to be realizable as a five-element bridge network with one inductor and one capacitor.
KW - biquadratic impedances
KW - bridge networks
KW - inerters
KW - passive mechanical control
KW - Passive network synthesis
UR - https://www.scopus.com/pages/publications/84907933406
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84907933406&origin=recordpage
U2 - 10.1109/ChiCC.2014.6896248
DO - 10.1109/ChiCC.2014.6896248
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9789881563842
SP - 7498
EP - 7503
BT - Proceedings of the 33rd Chinese Control Conference, CCC 2014
PB - IEEE Computer Society
T2 - 33rd Chinese Control Conference (CCC 2014)
Y2 - 28 July 2014 through 30 July 2014
ER -