Model reduction of T-S fuzzy systems with time-varying delays

Hongying ZHOU; Xiaojie SU; Yongduan SONG; Xinxin LIU

doi:10.1109/ChiCC.2015.7259932

Model reduction of T-S fuzzy systems with time-varying delays

Hongying ZHOU
, Xiaojie SU
, Yongduan SONG
, Xinxin LIU

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

1 Citation (Scopus)

Abstract

This paper investigates the model approximation problem for the T-S fuzzy system with time-varying delays. For a given high-order system, the purpose is to obtain the reduced-order model which approximates the original one well with a prescribed error performance. Based on the reciprocally convex technique, a new asymptotic stability condition is proposed for the corresponding error system with a given error performance. Then, the reduced-order model is obtained on the basis of the projection approach, which transforms the model approximation into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm.

Original language	English
Title of host publication	Proceedings of the 34th Chinese Control Conference, CCC 2015
Editors	Qianchuan ZHAO, Shirong LIU
Publisher	IEEE Computer Society
Pages	1963-1966
Number of pages	4
ISBN (Electronic)	9789881563897
DOIs	https://doi.org/10.1109/ChiCC.2015.7259932
Publication status	Published - Sept 2015
Externally published	Yes

Funding

This work was partially supported by the National Key Basic Research Program (973), China (2012CB215202), the National Natural Science Foundation of China (61403048 and 61134001), and the Fundamental Research Funds for the Central Universities (106112015CDJXY170001).

Keywords

Model Reduction
T-S Fuzzy System
Time-Varying Delay

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10.1109/ChiCC.2015.7259932

Cite this

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title = "Model reduction of T-S fuzzy systems with time-varying delays",

abstract = "This paper investigates the model approximation problem for the T-S fuzzy system with time-varying delays. For a given high-order system, the purpose is to obtain the reduced-order model which approximates the original one well with a prescribed error performance. Based on the reciprocally convex technique, a new asymptotic stability condition is proposed for the corresponding error system with a given error performance. Then, the reduced-order model is obtained on the basis of the projection approach, which transforms the model approximation into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm.",

keywords = "Model Reduction, T-S Fuzzy System, Time-Varying Delay",

author = "Hongying ZHOU and Xiaojie SU and Yongduan SONG and Xinxin LIU",

year = "2015",

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doi = "10.1109/ChiCC.2015.7259932",

language = "English",

pages = "1963--1966",

editor = "Qianchuan ZHAO and Shirong LIU",

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Model reduction of T-S fuzzy systems with time-varying delays. / ZHOU, Hongying; SU, Xiaojie; SONG, Yongduan et al.
Proceedings of the 34th Chinese Control Conference, CCC 2015. ed. / Qianchuan ZHAO; Shirong LIU. IEEE Computer Society, 2015. p. 1963-1966.

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

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AB - This paper investigates the model approximation problem for the T-S fuzzy system with time-varying delays. For a given high-order system, the purpose is to obtain the reduced-order model which approximates the original one well with a prescribed error performance. Based on the reciprocally convex technique, a new asymptotic stability condition is proposed for the corresponding error system with a given error performance. Then, the reduced-order model is obtained on the basis of the projection approach, which transforms the model approximation into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm.

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KW - T-S Fuzzy System

KW - Time-Varying Delay

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M3 - Conference paper (refereed)

AN - SCOPUS:84946545934

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BT - Proceedings of the 34th Chinese Control Conference, CCC 2015

A2 - ZHAO, Qianchuan

A2 - LIU, Shirong

PB - IEEE Computer Society

ER -

Model reduction of T-S fuzzy systems with time-varying delays

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