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

doi:10.23919/ACC.2019.8815243

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 proceeding › Conference proceeding

1 Citation (Scopus)

Abstract

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 language	English
Title of host publication	2019 American Control Conference (ACC)
Publisher	IEEE
Pages	5828 - 5833
Number of pages	6
ISBN (Print)	978-1-5386-7926-5
DOIs	https://doi.org/10.23919/ACC.2019.8815243
Publication status	Published - 29 Aug 2019
Externally published	Yes
Event	2019 American Control Conference : ACC - Philadelphia, United States Duration: 10 Jul 2019 → 12 Jul 2019

Publication series

Name
ISSN (Electronic)	2378-5861

Conference

Conference	2019 American Control Conference
Country	United States
City	Philadelphia
Period	10/07/19 → 12/07/19

Access to Document

10.23919/ACC.2019.8815243

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Guel-Cortez, A-J., Sen, M., & Goodwine, B. (2019). Closed Form Time Response of an Infinite Tree of Mechanical Components Described by an Irrational Transfer Function. In 2019 American Control Conference (ACC) (pp. 5828 - 5833). IEEE. https://doi.org/10.23919/ACC.2019.8815243

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N2 - 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.

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