TY - JOUR
T1 - Passive Controller Realization of a Biquadratic Impedance With Double Poles and Zeros as a Seven-Element Series—Parallel Network for Effective Mechanical Control
AU - Wang, Kai
AU - Chen, Michael Z. Q.
AU - Li, Chanying
AU - Chen, Guanrong
PY - 2018/9
Y1 - 2018/9
N2 - This work is concerned with the passive realizability
problem for a biquadratic impedance with double poles and zeros
as a seven-element series–parallel RLC (damper-spring-inerter)
network, which is a series or a parallel connection of two networks:
a three-element series–parallel network and a four-element
series–parallel network. First, a necessary and sufficient condition
is obtained for the realizability of a biquadratic impedance with
double poles and zeros as a series–parallel network containing no
more than six elements (see Theorem 1). Then, the main theorem
is presented (see Theorem 2), which is derived for three-reactive-element,
four-reactive-element, and five-reactive-element settings,
respectively (see Lemmas 2–4). The results can be directly utilized
to physically construct a passive mechanism containing dampers,
springs, and inerters, which can be regarded as a passive controller
for some mechanical control systems.
AB - This work is concerned with the passive realizability
problem for a biquadratic impedance with double poles and zeros
as a seven-element series–parallel RLC (damper-spring-inerter)
network, which is a series or a parallel connection of two networks:
a three-element series–parallel network and a four-element
series–parallel network. First, a necessary and sufficient condition
is obtained for the realizability of a biquadratic impedance with
double poles and zeros as a series–parallel network containing no
more than six elements (see Theorem 1). Then, the main theorem
is presented (see Theorem 2), which is derived for three-reactive-element,
four-reactive-element, and five-reactive-element settings,
respectively (see Lemmas 2–4). The results can be directly utilized
to physically construct a passive mechanism containing dampers,
springs, and inerters, which can be regarded as a passive controller
for some mechanical control systems.
KW - biquadratic impedance
KW - Control systems
KW - Impedance
KW - inerter
KW - Passive mechanical control
KW - passive network synthesis
KW - Passive networks
KW - Poles and zeros
KW - Resistors
KW - series-parallel network
KW - Springs
KW - STEM
UR - http://www.scopus.com/inward/record.url?scp=85041695632&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85041695632&origin=recordpage
U2 - 10.1109/TAC.2018.2794820
DO - 10.1109/TAC.2018.2794820
M3 - 21_Publication in refereed journal
VL - 63
SP - 3010
EP - 3015
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 9
ER -