Reduced-order fuzzy modeling for nonlinear switched systems

Xiaojie Su; Peng Shi; Ligang Wu; Lixian Zhang; Yuxin Zhao

doi:10.1109/CDC.2014.7039953

Reduced-order fuzzy modeling for nonlinear switched systems

Xiaojie Su
, Peng Shi
, Ligang Wu
, Lixian Zhang
, Yuxin Zhao

School of Astronautics

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

1 Scopus citations

Abstract

In this paper, the problem of model approximation is investigated for T-S fuzzy switched system with stochastic disturbance. For a high-order considered system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with a Hankel-norm performance but also translates it into a lower-dimensional linear switched system. By average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a Hankel-norm error performance for the error system. The model approximation is then converted into a convex optimization problem by using a linearization procedure.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3627-3630
Number of pages	4
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039953
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

Access to Document

10.1109/CDC.2014.7039953

Cite this

Su, X., Shi, P., Wu, L., Zhang, L., & Zhao, Y. (2014). Reduced-order fuzzy modeling for nonlinear switched systems. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 3627-3630). Article 7039953 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039953

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title = "Reduced-order fuzzy modeling for nonlinear switched systems",

abstract = "In this paper, the problem of model approximation is investigated for T-S fuzzy switched system with stochastic disturbance. For a high-order considered system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with a Hankel-norm performance but also translates it into a lower-dimensional linear switched system. By average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a Hankel-norm error performance for the error system. The model approximation is then converted into a convex optimization problem by using a linearization procedure.",

author = "Xiaojie Su and Peng Shi and Ligang Wu and Lixian Zhang and Yuxin Zhao",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7039953",

language = "英语",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "February",

pages = "3627--3630",

booktitle = "53rd IEEE Conference on Decision and Control,CDC 2014",

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}

Su, X, Shi, P, Wu, L , Zhang, L & Zhao, Y 2014, Reduced-order fuzzy modeling for nonlinear switched systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039953, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 3627-3630, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039953

Reduced-order fuzzy modeling for nonlinear switched systems. / Su, Xiaojie; Shi, Peng; Wu, Ligang et al.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3627-3630 7039953 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

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

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AU - Shi, Peng

AU - Wu, Ligang

AU - Zhang, Lixian

AU - Zhao, Yuxin

PY - 2014

Y1 - 2014

N2 - In this paper, the problem of model approximation is investigated for T-S fuzzy switched system with stochastic disturbance. For a high-order considered system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with a Hankel-norm performance but also translates it into a lower-dimensional linear switched system. By average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a Hankel-norm error performance for the error system. The model approximation is then converted into a convex optimization problem by using a linearization procedure.

AB - In this paper, the problem of model approximation is investigated for T-S fuzzy switched system with stochastic disturbance. For a high-order considered system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with a Hankel-norm performance but also translates it into a lower-dimensional linear switched system. By average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a Hankel-norm error performance for the error system. The model approximation is then converted into a convex optimization problem by using a linearization procedure.

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M3 - 会议稿件

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T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3627

EP - 3630

BT - 53rd IEEE Conference on Decision and Control,CDC 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

Reduced-order fuzzy modeling for nonlinear switched systems

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