Two-dimensional H-infinity filtering for Fornasini-Marchesini model under arbitrary switching

Rongni Yang; Wei Xing Zheng

doi:10.1109/ASCC.2017.8287634

Two-dimensional H-infinity filtering for Fornasini-Marchesini model under arbitrary switching

Rongni Yang, Wei Xing Zheng

Western Sydney University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

![CDATA[The problem of two-dimensional (2-D) H-infinity filtering is addressed in this paper for a class of discrete-time Fornasini-Marchesini systems. The underlying 2-D systems are integrated into arbitrary switching signals. First of all, the switched quadratic Lyapunov function and the piecewise Lyapunov function approach are utilized to propose some novel sufficient conditions such that the resultant filtering error dynamics is asymptotically stable with a prescribed H-infinity disturbance attenuation level. Secondly, a new 2-D H-infinity filter is designed for the Fornasini-Marchesini systems. Finally, the efficiency of the proposed 2-D H-infinity filter design method is shown by one illustrative example.]]

Original language	English
Title of host publication	Proceedings of the 11th Asian Control Conference (ASCC), Gold Coast Convention Centre, Australia, December 17-20, 2017
Publisher	IEEE
Pages	2878-2883
Number of pages	6
ISBN (Print)	9781509015733
DOIs	https://doi.org/10.1109/ASCC.2017.8287634
Publication status	Published - 2017
Event	Asian Control Conference - Duration: 17 Dec 2017 → …

Conference

Conference	Asian Control Conference
Period	17/12/17 → …

Keywords

Lyapunov functions
digital filters (mathematics)
discrete-time systems
switching circuits

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10.1109/ASCC.2017.8287634

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@inproceedings{790b70c6f44f44bda6f6f98247c58dcd,

title = "Two-dimensional H-infinity filtering for Fornasini-Marchesini model under arbitrary switching",

abstract = "![CDATA[The problem of two-dimensional (2-D) H-infinity filtering is addressed in this paper for a class of discrete-time Fornasini-Marchesini systems. The underlying 2-D systems are integrated into arbitrary switching signals. First of all, the switched quadratic Lyapunov function and the piecewise Lyapunov function approach are utilized to propose some novel sufficient conditions such that the resultant filtering error dynamics is asymptotically stable with a prescribed H-infinity disturbance attenuation level. Secondly, a new 2-D H-infinity filter is designed for the Fornasini-Marchesini systems. Finally, the efficiency of the proposed 2-D H-infinity filter design method is shown by one illustrative example.]]",

keywords = "Lyapunov functions, digital filters (mathematics), discrete-time systems, switching circuits",

author = "Rongni Yang and Zheng, {Wei Xing}",

year = "2017",

doi = "10.1109/ASCC.2017.8287634",

language = "English",

isbn = "9781509015733",

pages = "2878--2883",

booktitle = "Proceedings of the 11th Asian Control Conference (ASCC), Gold Coast Convention Centre, Australia, December 17-20, 2017",

publisher = "IEEE",

note = "Asian Control Conference ; Conference date: 17-12-2017",

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TY - GEN

T1 - Two-dimensional H-infinity filtering for Fornasini-Marchesini model under arbitrary switching

AU - Yang, Rongni

AU - Zheng, Wei Xing

PY - 2017

Y1 - 2017

N2 - ![CDATA[The problem of two-dimensional (2-D) H-infinity filtering is addressed in this paper for a class of discrete-time Fornasini-Marchesini systems. The underlying 2-D systems are integrated into arbitrary switching signals. First of all, the switched quadratic Lyapunov function and the piecewise Lyapunov function approach are utilized to propose some novel sufficient conditions such that the resultant filtering error dynamics is asymptotically stable with a prescribed H-infinity disturbance attenuation level. Secondly, a new 2-D H-infinity filter is designed for the Fornasini-Marchesini systems. Finally, the efficiency of the proposed 2-D H-infinity filter design method is shown by one illustrative example.]]

AB - ![CDATA[The problem of two-dimensional (2-D) H-infinity filtering is addressed in this paper for a class of discrete-time Fornasini-Marchesini systems. The underlying 2-D systems are integrated into arbitrary switching signals. First of all, the switched quadratic Lyapunov function and the piecewise Lyapunov function approach are utilized to propose some novel sufficient conditions such that the resultant filtering error dynamics is asymptotically stable with a prescribed H-infinity disturbance attenuation level. Secondly, a new 2-D H-infinity filter is designed for the Fornasini-Marchesini systems. Finally, the efficiency of the proposed 2-D H-infinity filter design method is shown by one illustrative example.]]

KW - Lyapunov functions

KW - digital filters (mathematics)

KW - discrete-time systems

KW - switching circuits

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:46747

U2 - 10.1109/ASCC.2017.8287634

DO - 10.1109/ASCC.2017.8287634

M3 - Conference Paper

SN - 9781509015733

SP - 2878

EP - 2883

BT - Proceedings of the 11th Asian Control Conference (ASCC), Gold Coast Convention Centre, Australia, December 17-20, 2017

PB - IEEE

T2 - Asian Control Conference

Y2 - 17 December 2017

ER -

Two-dimensional H-infinity filtering for Fornasini-Marchesini model under arbitrary switching

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