Robust H∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs

Y. U.Feng Wang; Chang Hong Wang; L. I. Qing-Hua

Robust H_∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs

Y. U.Feng Wang^*
, Chang Hong Wang
, L. I. Qing-Hua

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

1 Scopus citations

Abstract

A robust delay-dependent H_∞ filtering design is proposed for discrete-time linear systems with norm-bounded uncertainty and time-varying delayed outputs. The resulting filter guarantees that the induced 12 -norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level for all possible uncertainties and time delays. Sufficient conditions are given in terms of linear matrix inequalities (LMIs) and solution of the filter is given through an iterative procedure of a linear matrix inequality minimum problem derived from cone complementarity linearization algorithm. 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
Pages	1055-1059
Number of pages	5
State	Published - 2004
Event	Proceedings of 2004 International Conference on Machine Learning and Cybernetics - Shanghai, China Duration: 26 Aug 2004 → 29 Aug 2004

Publication series

Name	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Volume	2

Conference

Conference	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Country/Territory	China
City	Shanghai
Period	26/08/04 → 29/08/04

Keywords

Cone complementarity linearization
Discrete-time linear system
H filtering
LMI
Time-varying delayed outputs

Cite this

@inproceedings{3ae828a73ad04235962dbe81e42ebb14,

title = "Robust H∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs",

abstract = "A robust delay-dependent H∞ filtering design is proposed for discrete-time linear systems with norm-bounded uncertainty and time-varying delayed outputs. The resulting filter guarantees that the induced 12 -norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level for all possible uncertainties and time delays. Sufficient conditions are given in terms of linear matrix inequalities (LMIs) and solution of the filter is given through an iterative procedure of a linear matrix inequality minimum problem derived from cone complementarity linearization algorithm. A numerical example is given to demonstrate our results.",

keywords = "Cone complementarity linearization, Discrete-time linear system, H filtering, LMI, Time-varying delayed outputs",

author = "Wang, \{Y. U.Feng\} and Wang, \{Chang Hong\} and Qing-Hua, \{L. I.\}",

year = "2004",

language = "英语",

isbn = "0780384032",

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

pages = "1055--1059",

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

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

}

Wang, YUF, Wang, CH & Qing-Hua, LI 2004, Robust H_∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs. in Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Proceedings of 2004 International Conference on Machine Learning and Cybernetics, vol. 2, pp. 1055-1059, Proceedings of 2004 International Conference on Machine Learning and Cybernetics, Shanghai, China, 26/08/04.

Robust H_∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs. / Wang, Y. U.Feng; Wang, Chang Hong ; Qing-Hua, L. I.
Proceedings of 2004 International Conference on Machine Learning and Cybernetics. 2004. p. 1055-1059 (Proceedings of 2004 International Conference on Machine Learning and Cybernetics; Vol. 2).

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

TY - GEN

T1 - Robust H∞ filtering for discrete-time uncertain linear systems with time-varying delayed outputs

AU - Wang, Y. U.Feng

AU - Wang, Chang Hong

AU - Qing-Hua, L. I.

PY - 2004

Y1 - 2004

N2 - A robust delay-dependent H∞ filtering design is proposed for discrete-time linear systems with norm-bounded uncertainty and time-varying delayed outputs. The resulting filter guarantees that the induced 12 -norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level for all possible uncertainties and time delays. Sufficient conditions are given in terms of linear matrix inequalities (LMIs) and solution of the filter is given through an iterative procedure of a linear matrix inequality minimum problem derived from cone complementarity linearization algorithm. A numerical example is given to demonstrate our results.

AB - A robust delay-dependent H∞ filtering design is proposed for discrete-time linear systems with norm-bounded uncertainty and time-varying delayed outputs. The resulting filter guarantees that the induced 12 -norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level for all possible uncertainties and time delays. Sufficient conditions are given in terms of linear matrix inequalities (LMIs) and solution of the filter is given through an iterative procedure of a linear matrix inequality minimum problem derived from cone complementarity linearization algorithm. A numerical example is given to demonstrate our results.

KW - Cone complementarity linearization

KW - Discrete-time linear system

KW - H filtering

KW - LMI

KW - Time-varying delayed outputs

UR - https://www.scopus.com/pages/publications/6344238942

M3 - 会议稿件

AN - SCOPUS:6344238942

SN - 0780384032

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

SP - 1055

EP - 1059

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

T2 - Proceedings of 2004 International Conference on Machine Learning and Cybernetics

Y2 - 26 August 2004 through 29 August 2004

ER -