Towards scale free disturbance suppression in heterogeneous mass chains

Kaoru Yamamoto

doi:10.23919/ECC.2019.8795985

Towards scale free disturbance suppression in heterogeneous mass chains

Kaoru Yamamoto

Applied Energy Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study the disturbance attenuation problem in a heterogeneous mass chain where both the number of masses and the mass distribution may change. The paper studies the scalar transfer functions from the disturbance at a boundary point to a given intermass displacement. It is shown that these transfer functions can be represented in the form of composition sequences generated by Möbius transformations. The framework aims at devising a method of designing the interconnection impedances in the mass chain in a scale-free manner. That is, the resulting design guarantees certain performance criteria for mass chains of any length and any mass distribution. A graphical method is provided for such an interconnection design problem.

Original language	English
Title of host publication	2019 18th European Control Conference, ECC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3470-3474
Number of pages	5
ISBN (Electronic)	9783907144008
DOIs	https://doi.org/10.23919/ECC.2019.8795985
Publication status	Published - Jun 2019
Event	18th European Control Conference, ECC 2019 - Naples, Italy Duration: Jun 25 2019 → Jun 28 2019

Publication series

Name	2019 18th European Control Conference, ECC 2019

Conference

Conference	18th European Control Conference, ECC 2019
Country/Territory	Italy
City	Naples
Period	6/25/19 → 6/28/19

All Science Journal Classification (ASJC) codes

Instrumentation
Control and Optimization

Access to Document

10.23919/ECC.2019.8795985

Cite this

Yamamoto, K 2019, Towards scale free disturbance suppression in heterogeneous mass chains. in 2019 18th European Control Conference, ECC 2019., 8795985, 2019 18th European Control Conference, ECC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 3470-3474, 18th European Control Conference, ECC 2019, Naples, Italy, 6/25/19. https://doi.org/10.23919/ECC.2019.8795985

@inproceedings{035dcb0ebc064747a4ae7a4790a75cef,

title = "Towards scale free disturbance suppression in heterogeneous mass chains",

abstract = "We study the disturbance attenuation problem in a heterogeneous mass chain where both the number of masses and the mass distribution may change. The paper studies the scalar transfer functions from the disturbance at a boundary point to a given intermass displacement. It is shown that these transfer functions can be represented in the form of composition sequences generated by M{\"o}bius transformations. The framework aims at devising a method of designing the interconnection impedances in the mass chain in a scale-free manner. That is, the resulting design guarantees certain performance criteria for mass chains of any length and any mass distribution. A graphical method is provided for such an interconnection design problem.",

author = "Kaoru Yamamoto",

note = "Publisher Copyright: {\textcopyright} 2019 EUCA.; 18th European Control Conference, ECC 2019 ; Conference date: 25-06-2019 Through 28-06-2019",

year = "2019",

month = jun,

doi = "10.23919/ECC.2019.8795985",

language = "English",

series = "2019 18th European Control Conference, ECC 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3470--3474",

booktitle = "2019 18th European Control Conference, ECC 2019",

address = "United States",

}

TY - GEN

T1 - Towards scale free disturbance suppression in heterogeneous mass chains

AU - Yamamoto, Kaoru

PY - 2019/6

Y1 - 2019/6

N2 - We study the disturbance attenuation problem in a heterogeneous mass chain where both the number of masses and the mass distribution may change. The paper studies the scalar transfer functions from the disturbance at a boundary point to a given intermass displacement. It is shown that these transfer functions can be represented in the form of composition sequences generated by Möbius transformations. The framework aims at devising a method of designing the interconnection impedances in the mass chain in a scale-free manner. That is, the resulting design guarantees certain performance criteria for mass chains of any length and any mass distribution. A graphical method is provided for such an interconnection design problem.

AB - We study the disturbance attenuation problem in a heterogeneous mass chain where both the number of masses and the mass distribution may change. The paper studies the scalar transfer functions from the disturbance at a boundary point to a given intermass displacement. It is shown that these transfer functions can be represented in the form of composition sequences generated by Möbius transformations. The framework aims at devising a method of designing the interconnection impedances in the mass chain in a scale-free manner. That is, the resulting design guarantees certain performance criteria for mass chains of any length and any mass distribution. A graphical method is provided for such an interconnection design problem.

UR - http://www.scopus.com/inward/record.url?scp=85071554614&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071554614&partnerID=8YFLogxK

U2 - 10.23919/ECC.2019.8795985

DO - 10.23919/ECC.2019.8795985

M3 - Conference contribution

AN - SCOPUS:85071554614

T3 - 2019 18th European Control Conference, ECC 2019

SP - 3470

EP - 3474

BT - 2019 18th European Control Conference, ECC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 18th European Control Conference, ECC 2019

Y2 - 25 June 2019 through 28 June 2019

ER -

Towards scale free disturbance suppression in heterogeneous mass chains

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this