H∞ Filtering with random communication delays via jump linear system approach

Chang Hong Wang; Yu Feng Wang; Xu Huang

doi:10.1109/ICMLC.2004.1380708

H∞ Filtering with random communication delays via jump linear system approach

Chang Hong Wang^*
, Yu Feng Wang
, Xu Huang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

4 Scopus citations

Abstract

H_∞ filter of discrete-time linear system with random but bounded communication delays in the output can be modeled as finite dimensional, discrete-time jump linear system with mode dependent delays, and the transition jumps being modeled as finite-state Markov chains. A methodology for designing discrete-time Markovian jump linear filters which ensure a prescribed bound on the l₂ -induced gam form the noise signals to the estimation error is develop. The proposed design is based on the solution of an iterative procedure of a linear matrix inequality minimum problem. A numerical example is given to demonstrate our results.

Original language	English
Title of host publication	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	356-360
Number of pages	5
ISBN (Print)	0780384032, 9780780384033
DOIs	https://doi.org/10.1109/ICMLC.2004.1380708
State	Published - 2004
Event	3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004 - Shanghai, China Duration: 26 Aug 2004 → 29 Aug 2004

Publication series

Name	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Volume	1

Conference

Conference	3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004
Country/Territory	China
City	Shanghai
Period	26/08/04 → 29/08/04

Keywords

H filtering
Linear matrix inequalities
Markovian jump linear systems
Random delays

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10.1109/ICMLC.2004.1380708

Cite this

Wang, C. H., Wang, Y. F., & Huang, X. (2004). H∞ Filtering with random communication delays via jump linear system approach. In Proceedings of 2004 International Conference on Machine Learning and Cybernetics (pp. 356-360). (Proceedings of 2004 International Conference on Machine Learning and Cybernetics; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMLC.2004.1380708

@inproceedings{5009dbd7932c4453b56223511b3205e7,

title = "H∞ Filtering with random communication delays via jump linear system approach",

abstract = "H∞ filter of discrete-time linear system with random but bounded communication delays in the output can be modeled as finite dimensional, discrete-time jump linear system with mode dependent delays, and the transition jumps being modeled as finite-state Markov chains. A methodology for designing discrete-time Markovian jump linear filters which ensure a prescribed bound on the l2 -induced gam form the noise signals to the estimation error is develop. The proposed design is based on the solution of an iterative procedure of a linear matrix inequality minimum problem. A numerical example is given to demonstrate our results.",

keywords = "H filtering, Linear matrix inequalities, Markovian jump linear systems, Random delays",

author = "Wang, \{Chang Hong\} and Wang, \{Yu Feng\} and Xu Huang",

year = "2004",

doi = "10.1109/ICMLC.2004.1380708",

language = "英语",

isbn = "0780384032",

series = "Proceedings of 2004 International Conference on Machine Learning and Cybernetics",

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

pages = "356--360",

booktitle = "Proceedings of 2004 International Conference on Machine Learning and Cybernetics",

address = "美国",

note = "3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004 ; Conference date: 26-08-2004 Through 29-08-2004",

}

Wang, CH, Wang, YF & Huang, X 2004, H∞ Filtering with random communication delays via jump linear system approach. in Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Proceedings of 2004 International Conference on Machine Learning and Cybernetics, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 356-360, 3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004, Shanghai, China, 26/08/04. https://doi.org/10.1109/ICMLC.2004.1380708

H∞ Filtering with random communication delays via jump linear system approach. / Wang, Chang Hong; Wang, Yu Feng; Huang, Xu.
Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Institute of Electrical and Electronics Engineers Inc., 2004. p. 356-360 (Proceedings of 2004 International Conference on Machine Learning and Cybernetics; Vol. 1).

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

TY - GEN

T1 - H∞ Filtering with random communication delays via jump linear system approach

AU - Wang, Chang Hong

AU - Wang, Yu Feng

AU - Huang, Xu

PY - 2004

Y1 - 2004

N2 - H∞ filter of discrete-time linear system with random but bounded communication delays in the output can be modeled as finite dimensional, discrete-time jump linear system with mode dependent delays, and the transition jumps being modeled as finite-state Markov chains. A methodology for designing discrete-time Markovian jump linear filters which ensure a prescribed bound on the l2 -induced gam form the noise signals to the estimation error is develop. The proposed design is based on the solution of an iterative procedure of a linear matrix inequality minimum problem. A numerical example is given to demonstrate our results.

AB - H∞ filter of discrete-time linear system with random but bounded communication delays in the output can be modeled as finite dimensional, discrete-time jump linear system with mode dependent delays, and the transition jumps being modeled as finite-state Markov chains. A methodology for designing discrete-time Markovian jump linear filters which ensure a prescribed bound on the l2 -induced gam form the noise signals to the estimation error is develop. The proposed design is based on the solution of an iterative procedure of a linear matrix inequality minimum problem. A numerical example is given to demonstrate our results.

KW - H filtering

KW - Linear matrix inequalities

KW - Markovian jump linear systems

KW - Random delays

UR - https://www.scopus.com/pages/publications/6344249047

U2 - 10.1109/ICMLC.2004.1380708

DO - 10.1109/ICMLC.2004.1380708

M3 - 会议稿件

AN - SCOPUS:6344249047

SN - 0780384032

SN - 9780780384033

T3 - Proceedings of 2004 International Conference on Machine Learning and Cybernetics

SP - 356

EP - 360

BT - Proceedings of 2004 International Conference on Machine Learning and Cybernetics

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004

Y2 - 26 August 2004 through 29 August 2004

ER -

Wang CH, Wang YF, Huang X. H∞ Filtering with random communication delays via jump linear system approach. In Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Institute of Electrical and Electronics Engineers Inc. 2004. p. 356-360. (Proceedings of 2004 International Conference on Machine Learning and Cybernetics). doi: 10.1109/ICMLC.2004.1380708

H∞ Filtering with random communication delays via jump linear system approach

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