Robust energy-to-peak estimation for uncertain continuous-time linear systems

Ai Guo Wu; Liang He; Guang Ren Duan

doi:10.1109/WCICA.2006.1712721

Robust energy-to-peak estimation for uncertain continuous-time linear systems

Ai Guo Wu^*
, Liang He
, Guang Ren Duan

^*Corresponding author for this work

Harbin Institute of Technology

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

Abstract

Based on two recent results, a new LMI representation for L₂ -L_∞ performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages	2061-2065
Number of pages	5
DOIs	https://doi.org/10.1109/WCICA.2006.1712721
State	Published - 2006
Event	6th World Congress on Intelligent Control and Automation, WCICA 2006 - Dalian, China Duration: 21 Jun 2006 → 23 Jun 2006

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Volume	1

Conference

Conference	6th World Congress on Intelligent Control and Automation, WCICA 2006
Country/Territory	China
City	Dalian
Period	21/06/06 → 23/06/06

Keywords

Energy-to-peak estimation
LMI technique
Parameter-dependent
Polytopic uncertainty
Robustness

Access to Document

10.1109/WCICA.2006.1712721

Cite this

@inproceedings{112f117a0ea24c569dd5db17eb1e42a1,

title = "Robust energy-to-peak estimation for uncertain continuous-time linear systems",

abstract = "Based on two recent results, a new LMI representation for L2 -L∞ performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs.",

keywords = "Energy-to-peak estimation, LMI technique, Parameter-dependent, Polytopic uncertainty, Robustness",

author = "Wu, \{Ai Guo\} and Liang He and Duan, \{Guang Ren\}",

year = "2006",

doi = "10.1109/WCICA.2006.1712721",

language = "英语",

isbn = "1424403324",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "2061--2065",

booktitle = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

note = "6th World Congress on Intelligent Control and Automation, WCICA 2006 ; Conference date: 21-06-2006 Through 23-06-2006",

}

Wu, AG, He, L & Duan, GR 2006, Robust energy-to-peak estimation for uncertain continuous-time linear systems. in Proceedings of the World Congress on Intelligent Control and Automation (WCICA)., 1712721, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), vol. 1, pp. 2061-2065, 6th World Congress on Intelligent Control and Automation, WCICA 2006, Dalian, China, 21/06/06. https://doi.org/10.1109/WCICA.2006.1712721

Robust energy-to-peak estimation for uncertain continuous-time linear systems. / Wu, Ai Guo; He, Liang; Duan, Guang Ren.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). 2006. p. 2061-2065 1712721 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1).

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

TY - GEN

T1 - Robust energy-to-peak estimation for uncertain continuous-time linear systems

AU - Wu, Ai Guo

AU - He, Liang

AU - Duan, Guang Ren

PY - 2006

Y1 - 2006

N2 - Based on two recent results, a new LMI representation for L2 -L∞ performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs.

AB - Based on two recent results, a new LMI representation for L2 -L∞ performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs.

KW - Energy-to-peak estimation

KW - LMI technique

KW - Parameter-dependent

KW - Polytopic uncertainty

KW - Robustness

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U2 - 10.1109/WCICA.2006.1712721

DO - 10.1109/WCICA.2006.1712721

M3 - 会议稿件

AN - SCOPUS:34047237654

SN - 1424403324

SN - 9781424403325

T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

SP - 2061

EP - 2065

BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

T2 - 6th World Congress on Intelligent Control and Automation, WCICA 2006

Y2 - 21 June 2006 through 23 June 2006

ER -

Robust energy-to-peak estimation for uncertain continuous-time linear systems

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Keywords

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