Design and analysis of nonlinear control for uncertain linear systems

Xinkai Chen, Chun Yi Su

研究成果: Article

2 引用 (Scopus)

抄録

By using the input-output information, the problem of robust output tracking control is addressed for linear dynamical systems with arbitrary relative degrees. The considered systems are confined to minimum phase systems with unknown parameters, and unmatched disturbances composed of a bounded part and a class of unmodeled dynamics. The a priori knowledge concerning the disturbance bounds is unknown. The development of the nonlinear robust controller involves three steps. First, a special signal is generated, which can be thought of as an estimate of a filter of the input signal. Second, the derivatives up to a certain order of this special signal are derived. Third, the output tracking control input is synthesized by using the derivatives of the special signal. In the above process, the upper bounds of the disturbances are adaptively updated on-line. The proposed control law ensures the uniform boundedness of all the signals in the closed-loop system and achieves the output tracking to within a desired precision. The effectiveness of the proposed method is demonstrated through simulation.

元の言語English
ページ(範囲)307-310
ページ数4
ジャーナルIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
50
発行部数2
DOI
出版物ステータスPublished - 2003 2
外部発表Yes

Fingerprint

Linear systems
Derivatives
Closed loop systems
Dynamical systems
Controllers

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

これを引用

@article{f1eb68c00b674ebc863d8b07be54cc5e,
title = "Design and analysis of nonlinear control for uncertain linear systems",
abstract = "By using the input-output information, the problem of robust output tracking control is addressed for linear dynamical systems with arbitrary relative degrees. The considered systems are confined to minimum phase systems with unknown parameters, and unmatched disturbances composed of a bounded part and a class of unmodeled dynamics. The a priori knowledge concerning the disturbance bounds is unknown. The development of the nonlinear robust controller involves three steps. First, a special signal is generated, which can be thought of as an estimate of a filter of the input signal. Second, the derivatives up to a certain order of this special signal are derived. Third, the output tracking control input is synthesized by using the derivatives of the special signal. In the above process, the upper bounds of the disturbances are adaptively updated on-line. The proposed control law ensures the uniform boundedness of all the signals in the closed-loop system and achieves the output tracking to within a desired precision. The effectiveness of the proposed method is demonstrated through simulation.",
keywords = "Input-output information, Minimum phase systems, Output tracking, Relative degree, Robust control, Unmatched uncertainty",
author = "Xinkai Chen and Su, {Chun Yi}",
year = "2003",
month = "2",
doi = "10.1109/TCSI.2002.808231",
language = "English",
volume = "50",
pages = "307--310",
journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",
issn = "1057-7122",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - Design and analysis of nonlinear control for uncertain linear systems

AU - Chen, Xinkai

AU - Su, Chun Yi

PY - 2003/2

Y1 - 2003/2

N2 - By using the input-output information, the problem of robust output tracking control is addressed for linear dynamical systems with arbitrary relative degrees. The considered systems are confined to minimum phase systems with unknown parameters, and unmatched disturbances composed of a bounded part and a class of unmodeled dynamics. The a priori knowledge concerning the disturbance bounds is unknown. The development of the nonlinear robust controller involves three steps. First, a special signal is generated, which can be thought of as an estimate of a filter of the input signal. Second, the derivatives up to a certain order of this special signal are derived. Third, the output tracking control input is synthesized by using the derivatives of the special signal. In the above process, the upper bounds of the disturbances are adaptively updated on-line. The proposed control law ensures the uniform boundedness of all the signals in the closed-loop system and achieves the output tracking to within a desired precision. The effectiveness of the proposed method is demonstrated through simulation.

AB - By using the input-output information, the problem of robust output tracking control is addressed for linear dynamical systems with arbitrary relative degrees. The considered systems are confined to minimum phase systems with unknown parameters, and unmatched disturbances composed of a bounded part and a class of unmodeled dynamics. The a priori knowledge concerning the disturbance bounds is unknown. The development of the nonlinear robust controller involves three steps. First, a special signal is generated, which can be thought of as an estimate of a filter of the input signal. Second, the derivatives up to a certain order of this special signal are derived. Third, the output tracking control input is synthesized by using the derivatives of the special signal. In the above process, the upper bounds of the disturbances are adaptively updated on-line. The proposed control law ensures the uniform boundedness of all the signals in the closed-loop system and achieves the output tracking to within a desired precision. The effectiveness of the proposed method is demonstrated through simulation.

KW - Input-output information

KW - Minimum phase systems

KW - Output tracking

KW - Relative degree

KW - Robust control

KW - Unmatched uncertainty

UR - http://www.scopus.com/inward/record.url?scp=0037303778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037303778&partnerID=8YFLogxK

U2 - 10.1109/TCSI.2002.808231

DO - 10.1109/TCSI.2002.808231

M3 - Article

AN - SCOPUS:0037303778

VL - 50

SP - 307

EP - 310

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

SN - 1057-7122

IS - 2

ER -