Global robust tracking of a class of nonlinear systems and its application

Lu Liu; Frank L. Lewis; Jie Huang

Global robust tracking of a class of nonlinear systems and its application

Lu Liu
, Frank L. Lewis
, Jie Huang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

In this paper, we first present an extended solution of the global robust output regulation problem for nonlinear systems in output feedback form. Then we further show that the control problem for the Chua's circuit of this paper can be dealt with by the result of the global robust output regulation problem for nonlinear systems in output feedback form. Finally, an output feedback control law is designed for the Chua's circuit. The control law enables, in the presence of large parameter variations, the output of the circuit to track a class of sinusoidal signals with arbitrary amplitudes and initial phases while maintaining the global stability of the closed-loop system.

Original language	English
Title of host publication	2007 IEEE International Conference on Control and Automation
Publisher	IEEE
Pages	2101-2106
Number of pages	6
Volume	1
ISBN (Print)	978-1-4244-0817-7
Publication status	Published - Jun 2007
Externally published	Yes
Event	The 6th International Conference on Control and Automation (ICCA2007) - Guangzhou, China Duration: 30 May 2007 → 1 Jun 2007 http://www.ieeecss.org/conferences/all

Publication series

Name	IEEE International Conference on Control and Automation
Publisher	IEEE
Volume	2007
ISSN (Print)	1948-3449
ISSN (Electronic)	1948-3457

Conference

Conference	The 6th International Conference on Control and Automation (ICCA2007)
Abbreviated title	ICCA2007
Place	China
City	Guangzhou
Period	30/05/07 → 1/06/07
Internet address	http://www.ieeecss.org/conferences/all

Research Keywords

nonlinear systems
stability
Lyapunov methods
control theory
OUTPUT-FEEDBACK SYSTEMS
CHUAS CIRCUIT
CUBIC NONLINEARITY
ADAPTIVE-CONTROL
PARAMETERIZATION

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@inproceedings{03fa1c2fc1dc43e7b08e6e07a06f7666,

title = "Global robust tracking of a class of nonlinear systems and its application",

abstract = "In this paper, we first present an extended solution of the global robust output regulation problem for nonlinear systems in output feedback form. Then we further show that the control problem for the Chua's circuit of this paper can be dealt with by the result of the global robust output regulation problem for nonlinear systems in output feedback form. Finally, an output feedback control law is designed for the Chua's circuit. The control law enables, in the presence of large parameter variations, the output of the circuit to track a class of sinusoidal signals with arbitrary amplitudes and initial phases while maintaining the global stability of the closed-loop system.",

keywords = "nonlinear systems, stability, Lyapunov methods, control theory, OUTPUT-FEEDBACK SYSTEMS, CHUAS CIRCUIT, CUBIC NONLINEARITY, ADAPTIVE-CONTROL, PARAMETERIZATION",

author = "Lu Liu and Lewis, \{Frank L.\} and Jie Huang",

year = "2007",

month = jun,

language = "English",

isbn = "978-1-4244-0817-7",

volume = "1",

series = "IEEE International Conference on Control and Automation",

publisher = "IEEE",

pages = "2101--2106",

booktitle = "2007 IEEE International Conference on Control and Automation",

address = "United States",

note = "The 6th International Conference on Control and Automation (ICCA2007), ICCA2007 ; Conference date: 30-05-2007 Through 01-06-2007",

url = "http://www.ieeecss.org/conferences/all",

}

Liu, L, Lewis, FL & Huang, J 2007, Global robust tracking of a class of nonlinear systems and its application. in 2007 IEEE International Conference on Control and Automation. vol. 1, IEEE International Conference on Control and Automation, vol. 2007, IEEE, pp. 2101-2106, The 6th International Conference on Control and Automation (ICCA2007), Guangzhou, China, 30/05/07.

Global robust tracking of a class of nonlinear systems and its application. / Liu, Lu; Lewis, Frank L.; Huang, Jie.
2007 IEEE International Conference on Control and Automation. Vol. 1 IEEE, 2007. p. 2101-2106 (IEEE International Conference on Control and Automation; Vol. 2007).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Global robust tracking of a class of nonlinear systems and its application

AU - Liu, Lu

AU - Lewis, Frank L.

AU - Huang, Jie

PY - 2007/6

Y1 - 2007/6

N2 - In this paper, we first present an extended solution of the global robust output regulation problem for nonlinear systems in output feedback form. Then we further show that the control problem for the Chua's circuit of this paper can be dealt with by the result of the global robust output regulation problem for nonlinear systems in output feedback form. Finally, an output feedback control law is designed for the Chua's circuit. The control law enables, in the presence of large parameter variations, the output of the circuit to track a class of sinusoidal signals with arbitrary amplitudes and initial phases while maintaining the global stability of the closed-loop system.

AB - In this paper, we first present an extended solution of the global robust output regulation problem for nonlinear systems in output feedback form. Then we further show that the control problem for the Chua's circuit of this paper can be dealt with by the result of the global robust output regulation problem for nonlinear systems in output feedback form. Finally, an output feedback control law is designed for the Chua's circuit. The control law enables, in the presence of large parameter variations, the output of the circuit to track a class of sinusoidal signals with arbitrary amplitudes and initial phases while maintaining the global stability of the closed-loop system.

KW - nonlinear systems

KW - stability

KW - Lyapunov methods

KW - control theory

KW - OUTPUT-FEEDBACK SYSTEMS

KW - CHUAS CIRCUIT

KW - CUBIC NONLINEARITY

KW - ADAPTIVE-CONTROL

KW - PARAMETERIZATION

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 978-1-4244-0817-7

VL - 1

T3 - IEEE International Conference on Control and Automation

SP - 2101

EP - 2106

BT - 2007 IEEE International Conference on Control and Automation

PB - IEEE

T2 - The 6th International Conference on Control and Automation (ICCA2007)

Y2 - 30 May 2007 through 1 June 2007

ER -

Global robust tracking of a class of nonlinear systems and its application

Abstract

Publication series

Conference

Research Keywords

Other Access Options

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