Delay-dependent exponential H ∞ filtering for discrete-time switched delay systems

Dong Wang; Peng Shi; Jianliang Wang; Wei Wang

doi:10.1002/rnc.1764

Delay-dependent exponential H _∞ filtering for discrete-time switched delay systems

Dong Wang, Peng Shi, Jianliang Wang, Wei Wang

Research output: Journal Publication › Article › peer-review

96 Citations (Scopus)

Abstract

In this paper, the problem of delay-dependent exponential H _∞ filtering for discrete-time switched delay systems is investigated under average dwell time switching signals. Time delay under consideration is interval time-varying in the states. By introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using average dwell time approach, sufficient conditions for the solvability of this problem, dependent on the upper and lower bounds of time-varying delay, are obtained in terms of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results.

Original language	English
Pages (from-to)	1522-1536
Number of pages	15
Journal	International Journal of Robust and Nonlinear Control
Volume	22
Issue number	13
DOIs	https://doi.org/10.1002/rnc.1764
Publication status	Published - 10 Sept 2012
Externally published	Yes

Keywords

average dwell time
discrete-time switched systems
exponential H filtering
state delay

ASJC Scopus subject areas

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

Access to Document

10.1002/rnc.1764

Cite this

@article{170f4ad5dd944d409eb9a96a5b755e53,

title = "Delay-dependent exponential H ∞ filtering for discrete-time switched delay systems",

abstract = "In this paper, the problem of delay-dependent exponential H ∞ filtering for discrete-time switched delay systems is investigated under average dwell time switching signals. Time delay under consideration is interval time-varying in the states. By introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using average dwell time approach, sufficient conditions for the solvability of this problem, dependent on the upper and lower bounds of time-varying delay, are obtained in terms of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results.",

keywords = "average dwell time, discrete-time switched systems, exponential H filtering, state delay",

author = "Dong Wang and Peng Shi and Jianliang Wang and Wei Wang",

year = "2012",

month = sep,

day = "10",

doi = "10.1002/rnc.1764",

language = "English",

volume = "22",

pages = "1522--1536",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "John Wiley and Sons Ltd",

number = "13",

}

TY - JOUR

T1 - Delay-dependent exponential H ∞ filtering for discrete-time switched delay systems

AU - Wang, Dong

AU - Shi, Peng

AU - Wang, Jianliang

AU - Wang, Wei

PY - 2012/9/10

Y1 - 2012/9/10

N2 - In this paper, the problem of delay-dependent exponential H ∞ filtering for discrete-time switched delay systems is investigated under average dwell time switching signals. Time delay under consideration is interval time-varying in the states. By introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using average dwell time approach, sufficient conditions for the solvability of this problem, dependent on the upper and lower bounds of time-varying delay, are obtained in terms of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results.

AB - In this paper, the problem of delay-dependent exponential H ∞ filtering for discrete-time switched delay systems is investigated under average dwell time switching signals. Time delay under consideration is interval time-varying in the states. By introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using average dwell time approach, sufficient conditions for the solvability of this problem, dependent on the upper and lower bounds of time-varying delay, are obtained in terms of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results.

KW - average dwell time

KW - discrete-time switched systems

KW - exponential H filtering

KW - state delay

UR - https://www.scopus.com/pages/publications/84864422809

U2 - 10.1002/rnc.1764

DO - 10.1002/rnc.1764

M3 - Article

AN - SCOPUS:84864422809

SN - 1049-8923

VL - 22

SP - 1522

EP - 1536

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 13

ER -