Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains

Songlin Chen; Yu Yao; Xin Huo; Baoqing Yang

doi:10.1109/WCICA.2006.1712716

Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains

Songlin Chen^*
, Yu Yao
, Xin Huo
, Baoqing Yang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

Abstract

For a class of discrete-time switched linear systems with norm-bounded time-varying uncertainty, the problem of designing dynamic output feedback controller to guarantee that all closed-loop poles be assigned in the prespecified disk was investigated. With multiple Lyapunov functions approach, it is shown that this existence condition of the desired output feedback controller is equivalent to the solvability problem of a set of certain linear matrix inequalities (LMIs), which can be solved by the existing efficient convex optimization techniques. A construction of the desired controllers is provided in terms of feasible solutions to the LMIs. Finally, An example is given to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages	2037-2041
Number of pages	5
DOIs	https://doi.org/10.1109/WCICA.2006.1712716
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

LMIs
Output feedback
Poles placement
Switched systems
Uncertainty

Access to Document

10.1109/WCICA.2006.1712716

Cite this

Chen, S., Yao, Y., Huo, X., & Yang, B. (2006). Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains. In Proceedings of the World Congress on Intelligent Control and Automation (WCICA) (pp. 2037-2041). Article 1712716 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1). https://doi.org/10.1109/WCICA.2006.1712716

@inproceedings{88ec1e6d000643289ef51239f9df35bf,

title = "Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains",

abstract = "For a class of discrete-time switched linear systems with norm-bounded time-varying uncertainty, the problem of designing dynamic output feedback controller to guarantee that all closed-loop poles be assigned in the prespecified disk was investigated. With multiple Lyapunov functions approach, it is shown that this existence condition of the desired output feedback controller is equivalent to the solvability problem of a set of certain linear matrix inequalities (LMIs), which can be solved by the existing efficient convex optimization techniques. A construction of the desired controllers is provided in terms of feasible solutions to the LMIs. Finally, An example is given to illustrate the effectiveness of the proposed method.",

keywords = "LMIs, Output feedback, Poles placement, Switched systems, Uncertainty",

author = "Songlin Chen and Yu Yao and Xin Huo and Baoqing Yang",

year = "2006",

doi = "10.1109/WCICA.2006.1712716",

language = "英语",

isbn = "1424403324",

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

pages = "2037--2041",

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",

}

Chen, S, Yao, Y, Huo, X & Yang, B 2006, Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains. in Proceedings of the World Congress on Intelligent Control and Automation (WCICA)., 1712716, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), vol. 1, pp. 2037-2041, 6th World Congress on Intelligent Control and Automation, WCICA 2006, Dalian, China, 21/06/06. https://doi.org/10.1109/WCICA.2006.1712716

Robust output feedback control for uncertain switched linear systems with closed-loop disk pole constrains. / Chen, Songlin; Yao, Yu; Huo, Xin et al.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). 2006. p. 2037-2041 1712716 (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 output feedback control for uncertain switched linear systems with closed-loop disk pole constrains

AU - Chen, Songlin

AU - Yao, Yu

AU - Huo, Xin

AU - Yang, Baoqing

PY - 2006

Y1 - 2006

N2 - For a class of discrete-time switched linear systems with norm-bounded time-varying uncertainty, the problem of designing dynamic output feedback controller to guarantee that all closed-loop poles be assigned in the prespecified disk was investigated. With multiple Lyapunov functions approach, it is shown that this existence condition of the desired output feedback controller is equivalent to the solvability problem of a set of certain linear matrix inequalities (LMIs), which can be solved by the existing efficient convex optimization techniques. A construction of the desired controllers is provided in terms of feasible solutions to the LMIs. Finally, An example is given to illustrate the effectiveness of the proposed method.

AB - For a class of discrete-time switched linear systems with norm-bounded time-varying uncertainty, the problem of designing dynamic output feedback controller to guarantee that all closed-loop poles be assigned in the prespecified disk was investigated. With multiple Lyapunov functions approach, it is shown that this existence condition of the desired output feedback controller is equivalent to the solvability problem of a set of certain linear matrix inequalities (LMIs), which can be solved by the existing efficient convex optimization techniques. A construction of the desired controllers is provided in terms of feasible solutions to the LMIs. Finally, An example is given to illustrate the effectiveness of the proposed method.

KW - LMIs

KW - Output feedback

KW - Poles placement

KW - Switched systems

KW - Uncertainty

UR - https://www.scopus.com/pages/publications/34047195724

U2 - 10.1109/WCICA.2006.1712716

DO - 10.1109/WCICA.2006.1712716

M3 - 会议稿件

AN - SCOPUS:34047195724

SN - 1424403324

SN - 9781424403325

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

SP - 2037

EP - 2041

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 output feedback control for uncertain switched linear systems with closed-loop disk pole constrains

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this