Closed Form Time Response of an Infinite Tree of Mechanical Components Described by an Irrational Transfer Function

A.-J. Guel-Cortez, Mihir Sen, Bill Goodwine

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

1 Citation (Scopus)


In this work we determine the time-domain dynamics of a complex mechanical network of integer-order components, e.g., springs and dampers, with an overall transfer function described by implicitly defined operators. This type of transfer functions can be used to describe very large scale dynamics of robot formations, multiagent systems or viscoelastic phenomena. Such large-scale integrated systems are becoming increasingly important in modern engineering systems, and an accurate model of their dynamics is very important to achieve their control. We give a time domain representation for the dynamics of the system by using a complex variable analysis to find its impulse response. Furthermore, we validate how our infinite order model can be used to describe dynamics of finite order networks, which can be useful as a model reduction method.
Original languageEnglish
Title of host publication2019 American Control Conference (ACC)
Pages5828 - 5833
Number of pages6
ISBN (Print)978-1-5386-7926-5
Publication statusPublished - 29 Aug 2019
Externally publishedYes
Event2019 American Control Conference : ACC - Philadelphia, United States
Duration: 10 Jul 201912 Jul 2019

Publication series

ISSN (Electronic)2378-5861


Conference2019 American Control Conference
CountryUnited States
City Philadelphia


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