Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation

Mao Wang; Yougao Fan; Jianbin Qiu

doi:10.1109/ISSCAA.2010.5633311

Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation

Mao Wang^*
, Yougao Fan
, Jianbin Qiu

^*Corresponding author for this work

School of Astronautics, Harbin Institute of Technology

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

1 Scopus citations

Abstract

In this paper, the problem of state-feedback controller design for a class of discrete-time switched linear systems with poly topic uncertainties subject to actuator saturations is investigated. The objection is to design a switched state-feedback controller guaranteeing the locally exponential stability of the resulting closed-loop systems under average dwell-time switching scheme and analyze the domain of attraction. Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas, some novel conditions for state-feedback controller design are developed. The results obtained are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.

Original language	English
Title of host publication	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics
Pages	294-299
Number of pages	6
DOIs	https://doi.org/10.1109/ISSCAA.2010.5633311
State	Published - 2010
Externally published	Yes
Event	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 - Harbin, China Duration: 8 Jun 2010 → 10 Jun 2010

Publication series

Name	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

Conference

Conference	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010
Country/Territory	China
City	Harbin
Period	8/06/10 → 10/06/10

Access to Document

10.1109/ISSCAA.2010.5633311

Cite this

Wang, M., Fan, Y., & Qiu, J. (2010). Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (pp. 294-299). Article 5633311 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). https://doi.org/10.1109/ISSCAA.2010.5633311

@inproceedings{401ed8bc55fe43f0957e9be1a7a9f5f6,

title = "Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation",

abstract = "In this paper, the problem of state-feedback controller design for a class of discrete-time switched linear systems with poly topic uncertainties subject to actuator saturations is investigated. The objection is to design a switched state-feedback controller guaranteeing the locally exponential stability of the resulting closed-loop systems under average dwell-time switching scheme and analyze the domain of attraction. Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas, some novel conditions for state-feedback controller design are developed. The results obtained are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.",

author = "Mao Wang and Yougao Fan and Jianbin Qiu",

year = "2010",

doi = "10.1109/ISSCAA.2010.5633311",

language = "英语",

isbn = "9781424460441",

series = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

pages = "294--299",

booktitle = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

note = "3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 ; Conference date: 08-06-2010 Through 10-06-2010",

}

Wang, M, Fan, Y & Qiu, J 2010, Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation. in ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics., 5633311, ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, pp. 294-299, 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010, Harbin, China, 8/06/10. https://doi.org/10.1109/ISSCAA.2010.5633311

Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation. / Wang, Mao; Fan, Yougao; Qiu, Jianbin.
ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 294-299 5633311 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics).

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

TY - GEN

T1 - Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation

AU - Wang, Mao

AU - Fan, Yougao

AU - Qiu, Jianbin

PY - 2010

Y1 - 2010

N2 - In this paper, the problem of state-feedback controller design for a class of discrete-time switched linear systems with poly topic uncertainties subject to actuator saturations is investigated. The objection is to design a switched state-feedback controller guaranteeing the locally exponential stability of the resulting closed-loop systems under average dwell-time switching scheme and analyze the domain of attraction. Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas, some novel conditions for state-feedback controller design are developed. The results obtained are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.

AB - In this paper, the problem of state-feedback controller design for a class of discrete-time switched linear systems with poly topic uncertainties subject to actuator saturations is investigated. The objection is to design a switched state-feedback controller guaranteeing the locally exponential stability of the resulting closed-loop systems under average dwell-time switching scheme and analyze the domain of attraction. Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas, some novel conditions for state-feedback controller design are developed. The results obtained are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.

UR - https://www.scopus.com/pages/publications/79952123603

U2 - 10.1109/ISSCAA.2010.5633311

DO - 10.1109/ISSCAA.2010.5633311

M3 - 会议稿件

AN - SCOPUS:79952123603

SN - 9781424460441

T3 - ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

SP - 294

EP - 299

BT - ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

T2 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010

Y2 - 8 June 2010 through 10 June 2010

ER -

Wang M, Fan Y, Qiu J. Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 294-299. 5633311. (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). doi: 10.1109/ISSCAA.2010.5633311

Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation

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