Passive Controller Realization of a Biquadratic Impedance With Double Poles and Zeros as a Seven-Element Series—Parallel Network for Effective Mechanical Control

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

10 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)3010-3015
Journal / PublicationIEEE Transactions on Automatic Control
Volume63
Issue number9
Online published17 Jan 2018
Publication statusPublished - Sep 2018

Abstract

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.

Research Area(s)

  • biquadratic impedance, Control systems, Impedance, inerter, Passive mechanical control, passive network synthesis, Passive networks, Poles and zeros, Resistors, series-parallel network, Springs, STEM

Citation Format(s)

Passive Controller Realization of a Biquadratic Impedance With Double Poles and Zeros as a Seven-Element Series—Parallel Network for Effective Mechanical Control. / Wang, Kai; Chen, Michael Z. Q.; Li, Chanying; Chen, Guanrong.

In: IEEE Transactions on Automatic Control, Vol. 63, No. 9, 09.2018, p. 3010-3015.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review