Distributed H2=H∞ Filter Design for Discrete-Time Switched Systems

Nezar M. Alyazidi; Magdi S. Mahmoud

doi:10.1109/JAS.2019.1911630

Distributed H₂=H∞ Filter Design for Discrete-Time Switched Systems

Nezar M. Alyazidi, Magdi S. Mahmoud^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper addresses an infinite horizon distributed H2 filtering for discrete-Time systems under conditions of bounded power and white stochastic signals. The filter algorithm is designed by computing a pair of gains namely the estimator and the coupling. Herein, we implement a filter to estimate unknown parameters such that the closed-loop multi-sensor accomplishes the desired performances of the proposed H2 and HE schemes over a finite horizon. A switched strategy is implemented to switch between the states once the operation conditions have changed due to disturbances. It is shown that the stability of the overall filtering-error system with H2 performance can be established if a piecewise-quadratic Lyapunov function is properly constructed. A simulation example is given to show the effectiveness of the proposed approach.

Original language	English
Article number	8766201
Pages (from-to)	158-168
Number of pages	11
Journal	IEEE/CAA Journal of Automatica Sinica
Volume	7
Issue number	1
DOIs	https://doi.org/10.1109/JAS.2019.1911630
State	Published - Jan 2020

Bibliographical note

Funding Information:
Manuscript received September 27, 2018; accepted December 12, 2018. This work was supported by the Deanship of Scientific Research (DSR) at KFUPM through distinguished professorship project (161065). Recommended by Associate Editor Mohammed Chadli. (Corresponding author: Magdi S. Mahmoud.) Citation: N. M. Alyazidi and M. S. Mahmoud, “Distributed H2/H∞ filter design for discrete-time switched systems,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 158−168, Jan. 2020.

Publisher Copyright:
© 2014 Chinese Association of Automation.

Keywords

Bounded power stochastic disturbance
H=H∞ filtering
discretetime systems
infinite horizon
multi-sensor
switched systems.

ASJC Scopus subject areas

Control and Systems Engineering
Information Systems
Artificial Intelligence

Access to Document

10.1109/JAS.2019.1911630

Cite this

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title = "Distributed H2=H∞ Filter Design for Discrete-Time Switched Systems",

abstract = "This paper addresses an infinite horizon distributed H2 filtering for discrete-Time systems under conditions of bounded power and white stochastic signals. The filter algorithm is designed by computing a pair of gains namely the estimator and the coupling. Herein, we implement a filter to estimate unknown parameters such that the closed-loop multi-sensor accomplishes the desired performances of the proposed H2 and HE schemes over a finite horizon. A switched strategy is implemented to switch between the states once the operation conditions have changed due to disturbances. It is shown that the stability of the overall filtering-error system with H2 performance can be established if a piecewise-quadratic Lyapunov function is properly constructed. A simulation example is given to show the effectiveness of the proposed approach.",

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author = "Alyazidi, {Nezar M.} and Mahmoud, {Magdi S.}",

note = "Funding Information: Manuscript received September 27, 2018; accepted December 12, 2018. This work was supported by the Deanship of Scientific Research (DSR) at KFUPM through distinguished professorship project (161065). Recommended by Associate Editor Mohammed Chadli. (Corresponding author: Magdi S. Mahmoud.) Citation: N. M. Alyazidi and M. S. Mahmoud, “Distributed H2/H∞ filter design for discrete-time switched systems,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 158−168, Jan. 2020. Publisher Copyright: {\textcopyright} 2014 Chinese Association of Automation.",

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