LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models

Xiaojun Ban; Zejian Zhang; Xianlin Huang; Xiao Zhi Gao

doi:10.1109/ICICIP.2011.6008398

LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models

Xiaojun Ban^*
, Zejian Zhang
, Xianlin Huang
, Xiao Zhi Gao

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Aalto University

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

Abstract

This research focuses on the stability analysis and controller design for nonlinear systems constructed by fuzzy input-output models (FIOMs), which are different from the conventional Mamdani and T-S types of fuzzy models. Some stability conditions based on the linear matrix inequalities (LMIs) are proposed to analyze the stability of the closed loop fuzzy system and synthesize a static compensator, which can guarantee the globally asymptotically stability of the equilibrium. A numerical simulation is provided to illustrate the effectiveness of the proposed stability conditions.

Original language	English
Title of host publication	Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Pages	983-987
Number of pages	5
Edition	PART 2
DOIs	https://doi.org/10.1109/ICICIP.2011.6008398
State	Published - 2011
Event	2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011 - Harbin, China Duration: 25 Jul 2011 → 28 Jul 2011

Publication series

Name	Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Number	PART 2

Conference

Conference	2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Country/Territory	China
City	Harbin
Period	25/07/11 → 28/07/11

Access to Document

10.1109/ICICIP.2011.6008398

Cite this

Ban, X., Zhang, Z., Huang, X., & Gao, X. Z. (2011). LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models. In Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011 (PART 2 ed., pp. 983-987). Article 6008398 (Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011; No. PART 2). https://doi.org/10.1109/ICICIP.2011.6008398

Ban, Xiaojun ; Zhang, Zejian ; Huang, Xianlin et al. / LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models. Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011. PART 2. ed. 2011. pp. 983-987 (Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011; PART 2).

@inproceedings{085deee9989f41948ea6931dfc917c06,

title = "LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models",

abstract = "This research focuses on the stability analysis and controller design for nonlinear systems constructed by fuzzy input-output models (FIOMs), which are different from the conventional Mamdani and T-S types of fuzzy models. Some stability conditions based on the linear matrix inequalities (LMIs) are proposed to analyze the stability of the closed loop fuzzy system and synthesize a static compensator, which can guarantee the globally asymptotically stability of the equilibrium. A numerical simulation is provided to illustrate the effectiveness of the proposed stability conditions.",

author = "Xiaojun Ban and Zejian Zhang and Xianlin Huang and Gao, \{Xiao Zhi\}",

year = "2011",

doi = "10.1109/ICICIP.2011.6008398",

language = "英语",

isbn = "9781457708145",

series = "Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011",

number = "PART 2",

pages = "983--987",

booktitle = "Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011",

edition = "PART 2",

note = "2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011 ; Conference date: 25-07-2011 Through 28-07-2011",

}

Ban, X, Zhang, Z, Huang, X & Gao, XZ 2011, LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models. in Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011. PART 2 edn, 6008398, Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011, no. PART 2, pp. 983-987, 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011, Harbin, China, 25/07/11. https://doi.org/10.1109/ICICIP.2011.6008398

LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models. / Ban, Xiaojun; Zhang, Zejian; Huang, Xianlin et al.
Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011. PART 2. ed. 2011. p. 983-987 6008398 (Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011; No. PART 2).

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

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AU - Ban, Xiaojun

AU - Zhang, Zejian

AU - Huang, Xianlin

AU - Gao, Xiao Zhi

PY - 2011

Y1 - 2011

N2 - This research focuses on the stability analysis and controller design for nonlinear systems constructed by fuzzy input-output models (FIOMs), which are different from the conventional Mamdani and T-S types of fuzzy models. Some stability conditions based on the linear matrix inequalities (LMIs) are proposed to analyze the stability of the closed loop fuzzy system and synthesize a static compensator, which can guarantee the globally asymptotically stability of the equilibrium. A numerical simulation is provided to illustrate the effectiveness of the proposed stability conditions.

AB - This research focuses on the stability analysis and controller design for nonlinear systems constructed by fuzzy input-output models (FIOMs), which are different from the conventional Mamdani and T-S types of fuzzy models. Some stability conditions based on the linear matrix inequalities (LMIs) are proposed to analyze the stability of the closed loop fuzzy system and synthesize a static compensator, which can guarantee the globally asymptotically stability of the equilibrium. A numerical simulation is provided to illustrate the effectiveness of the proposed stability conditions.

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M3 - 会议稿件

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SN - 9781457708145

T3 - Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011

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BT - Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011

T2 - 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011

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ER -

Ban X, Zhang Z, Huang X, Gao XZ. LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models. In Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011. PART 2 ed. 2011. p. 983-987. 6008398. (Proceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011; PART 2). doi: 10.1109/ICICIP.2011.6008398

LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models

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