The LFT formulation of dynamical systems with the uncertainties of parameter variations

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

Abstract

This paper mainly studies the problems of the formulation of dynamical systems with the parameter uncertainties. The uncertainties in the inertial term of a dynamical system are studied and dealt with since they are necessary but troublesome in applications. These uncertainties can be treated with an inverse transfer function in a block diagram. These problems can be formulated as the general linear fractional transformation which is regarded as the standard problem. The proposed technology can be easily extended to other standard control problems such as the robust 2-parameter compensator problems. An example of an inverse pendulum is also presented by this proposed technology.

Original languageEnglish
Title of host publicationAdvances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011
Pages395-402
Number of pages8
DOIs
Publication statusPublished - 2012 Feb 2
Event2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011 - Beijing, China
Duration: 2011 Dec 242011 Dec 25

Publication series

NameLecture Notes in Electrical Engineering
Volume140 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Other

Other2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011
CountryChina
CityBeijing
Period11-12-2411-12-25

Fingerprint

Dynamical systems
Pendulums
Transfer functions
Uncertainty

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

Cite this

Young, J-S. (2012). The LFT formulation of dynamical systems with the uncertainties of parameter variations. In Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011 (pp. 395-402). (Lecture Notes in Electrical Engineering; Vol. 140 LNEE). https://doi.org/10.1007/978-3-642-27296-7_62
Young, Jieh-Shian. / The LFT formulation of dynamical systems with the uncertainties of parameter variations. Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011. 2012. pp. 395-402 (Lecture Notes in Electrical Engineering).
@inproceedings{3355adf1593943ca9f00c630ba45a32f,
title = "The LFT formulation of dynamical systems with the uncertainties of parameter variations",
abstract = "This paper mainly studies the problems of the formulation of dynamical systems with the parameter uncertainties. The uncertainties in the inertial term of a dynamical system are studied and dealt with since they are necessary but troublesome in applications. These uncertainties can be treated with an inverse transfer function in a block diagram. These problems can be formulated as the general linear fractional transformation which is regarded as the standard problem. The proposed technology can be easily extended to other standard control problems such as the robust 2-parameter compensator problems. An example of an inverse pendulum is also presented by this proposed technology.",
author = "Jieh-Shian Young",
year = "2012",
month = "2",
day = "2",
doi = "10.1007/978-3-642-27296-7_62",
language = "English",
isbn = "9783642272950",
series = "Lecture Notes in Electrical Engineering",
pages = "395--402",
booktitle = "Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011",

}

Young, J-S 2012, The LFT formulation of dynamical systems with the uncertainties of parameter variations. in Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011. Lecture Notes in Electrical Engineering, vol. 140 LNEE, pp. 395-402, 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011, Beijing, China, 11-12-24. https://doi.org/10.1007/978-3-642-27296-7_62

The LFT formulation of dynamical systems with the uncertainties of parameter variations. / Young, Jieh-Shian.

Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011. 2012. p. 395-402 (Lecture Notes in Electrical Engineering; Vol. 140 LNEE).

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

TY - GEN

T1 - The LFT formulation of dynamical systems with the uncertainties of parameter variations

AU - Young, Jieh-Shian

PY - 2012/2/2

Y1 - 2012/2/2

N2 - This paper mainly studies the problems of the formulation of dynamical systems with the parameter uncertainties. The uncertainties in the inertial term of a dynamical system are studied and dealt with since they are necessary but troublesome in applications. These uncertainties can be treated with an inverse transfer function in a block diagram. These problems can be formulated as the general linear fractional transformation which is regarded as the standard problem. The proposed technology can be easily extended to other standard control problems such as the robust 2-parameter compensator problems. An example of an inverse pendulum is also presented by this proposed technology.

AB - This paper mainly studies the problems of the formulation of dynamical systems with the parameter uncertainties. The uncertainties in the inertial term of a dynamical system are studied and dealt with since they are necessary but troublesome in applications. These uncertainties can be treated with an inverse transfer function in a block diagram. These problems can be formulated as the general linear fractional transformation which is regarded as the standard problem. The proposed technology can be easily extended to other standard control problems such as the robust 2-parameter compensator problems. An example of an inverse pendulum is also presented by this proposed technology.

UR - http://www.scopus.com/inward/record.url?scp=84856363642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856363642&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-27296-7_62

DO - 10.1007/978-3-642-27296-7_62

M3 - Conference contribution

AN - SCOPUS:84856363642

SN - 9783642272950

T3 - Lecture Notes in Electrical Engineering

SP - 395

EP - 402

BT - Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011

ER -

Young J-S. The LFT formulation of dynamical systems with the uncertainties of parameter variations. In Advances in Electronic Engineering, Communication and Management Vol. 2 - Proceedings of 2011 International Conference on Electronic Engineering, Communication and Management, EECM 2011. 2012. p. 395-402. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-3-642-27296-7_62