H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts

Zhongda Lu; Junxiao Lu; Guangtao Ran; Fengxia Xu

doi:10.1109/CCDC.2019.8833357

H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts

Zhongda Lu
, Junxiao Lu
, Guangtao Ran
, Fengxia Xu

Qiqihar University

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

Abstract

In this paper, the problem of H_∞ filter design is investigated for a class of nonlinear networked control systems on the basis of the interval type-2 fuzzy set theory. First, mixed random delay and packet dropouts are taken into consideration in the filter design process. And the membership functions and number of fuzzy rules of the filter are different from the plant. Second, the fuzzy filtering error system is built based on interval type-2 fuzzy model. Then, by using Lyapunov function, stability judgment theory, Wirtinger inequality and linear matrix inequality, the filter stability condition is given. Finally, simulation example is provided to show the effectiveness of the method proposed in this paper.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2572-2577
Number of pages	6
ISBN (Electronic)	9781728101057
DOIs	https://doi.org/10.1109/CCDC.2019.8833357
State	Published - Jun 2019
Externally published	Yes
Event	31st Chinese Control and Decision Conference, CCDC 2019 - Nanchang, China Duration: 3 Jun 2019 → 5 Jun 2019

Publication series

Name	Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019

Conference

Conference	31st Chinese Control and Decision Conference, CCDC 2019
Country/Territory	China
City	Nanchang
Period	3/06/19 → 5/06/19

Keywords

H filtering
Nonlinear networked control systems
Wirtinger inequality

Access to Document

10.1109/CCDC.2019.8833357

Cite this

Lu, Z., Lu, J., Ran, G., & Xu, F. (2019). H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts. In Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019 (pp. 2572-2577). Article 8833357 (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2019.8833357

Lu, Zhongda ; Lu, Junxiao ; Ran, Guangtao et al. / H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts. Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 2572-2577 (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019).

@inproceedings{03d0f128796f4cbfb9675790ee13b8be,

title = "H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts",

abstract = "In this paper, the problem of H∞ filter design is investigated for a class of nonlinear networked control systems on the basis of the interval type-2 fuzzy set theory. First, mixed random delay and packet dropouts are taken into consideration in the filter design process. And the membership functions and number of fuzzy rules of the filter are different from the plant. Second, the fuzzy filtering error system is built based on interval type-2 fuzzy model. Then, by using Lyapunov function, stability judgment theory, Wirtinger inequality and linear matrix inequality, the filter stability condition is given. Finally, simulation example is provided to show the effectiveness of the method proposed in this paper.",

keywords = "H filtering, Nonlinear networked control systems, Wirtinger inequality",

author = "Zhongda Lu and Junxiao Lu and Guangtao Ran and Fengxia Xu",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 31st Chinese Control and Decision Conference, CCDC 2019 ; Conference date: 03-06-2019 Through 05-06-2019",

year = "2019",

month = jun,

doi = "10.1109/CCDC.2019.8833357",

language = "英语",

series = "Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019",

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

pages = "2572--2577",

booktitle = "Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019",

address = "美国",

}

Lu, Z, Lu, J, Ran, G & Xu, F 2019, H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts. in Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019., 8833357, Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 2572-2577, 31st Chinese Control and Decision Conference, CCDC 2019, Nanchang, China, 3/06/19. https://doi.org/10.1109/CCDC.2019.8833357

H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts. / Lu, Zhongda; Lu, Junxiao; Ran, Guangtao et al.
Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2572-2577 8833357 (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019).

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

TY - GEN

T1 - H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts

AU - Lu, Zhongda

AU - Lu, Junxiao

AU - Ran, Guangtao

AU - Xu, Fengxia

PY - 2019/6

Y1 - 2019/6

N2 - In this paper, the problem of H∞ filter design is investigated for a class of nonlinear networked control systems on the basis of the interval type-2 fuzzy set theory. First, mixed random delay and packet dropouts are taken into consideration in the filter design process. And the membership functions and number of fuzzy rules of the filter are different from the plant. Second, the fuzzy filtering error system is built based on interval type-2 fuzzy model. Then, by using Lyapunov function, stability judgment theory, Wirtinger inequality and linear matrix inequality, the filter stability condition is given. Finally, simulation example is provided to show the effectiveness of the method proposed in this paper.

AB - In this paper, the problem of H∞ filter design is investigated for a class of nonlinear networked control systems on the basis of the interval type-2 fuzzy set theory. First, mixed random delay and packet dropouts are taken into consideration in the filter design process. And the membership functions and number of fuzzy rules of the filter are different from the plant. Second, the fuzzy filtering error system is built based on interval type-2 fuzzy model. Then, by using Lyapunov function, stability judgment theory, Wirtinger inequality and linear matrix inequality, the filter stability condition is given. Finally, simulation example is provided to show the effectiveness of the method proposed in this paper.

KW - H filtering

KW - Nonlinear networked control systems

KW - Wirtinger inequality

UR - https://www.scopus.com/pages/publications/85073107010

U2 - 10.1109/CCDC.2019.8833357

DO - 10.1109/CCDC.2019.8833357

M3 - 会议稿件

AN - SCOPUS:85073107010

T3 - Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019

SP - 2572

EP - 2577

BT - Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 31st Chinese Control and Decision Conference, CCDC 2019

Y2 - 3 June 2019 through 5 June 2019

ER -

Lu Z, Lu J, Ran G, Xu F. H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts. In Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 2572-2577. 8833357. (Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019). doi: 10.1109/CCDC.2019.8833357

H∞ Filtering for Nonlinear Networked Control Systems with Mixed Random Delays and Packet Dropouts

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