Networked H∞ filtering of semilinear diffusion PDEs

Netzer Bar Am; Emilia Fridman

doi:10.1109/CDC.2014.7039565

Networked H_∞ filtering of semilinear diffusion PDEs

Netzer Bar Am, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

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

Abstract

We design a network-based H_∞ filter for semilinear diffusion partial differential equations over a rectangular domain under distributed in space measurements. The sampled in time measurements are sent to the observer over a communication network. The objective is to enlarge the sampling time intervals, while preserving a satisfactory error system performance in the presence of variable network-induced delays. We suggest to divide the domain into a finite number of rectangular sub-domains, where sensing devices provide spatially averaged state measurements to be transmitted through communication network. Sufficient conditions in terms of Linear Matrix Inequalities (LMIs) for the internal exponential stability and L₂-gain analysis of the estimation error are derived via the time-delay approach to networked control systems and the direct Lyapunov-Krasovskii method. Numerical example illustrates the efficiency of the method.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1324-1329
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039565
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2014.7039565

Cite this

Bar Am, N., & Fridman, E. (2014). Networked H_∞ filtering of semilinear diffusion PDEs. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 1324-1329). Article 7039565 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039565

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Bar Am, N & Fridman, E 2014, Networked H_∞ filtering of semilinear diffusion PDEs. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039565, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 1324-1329, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039565

Networked H_∞ filtering of semilinear diffusion PDEs. / Bar Am, Netzer; Fridman, Emilia.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1324-1329 7039565 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

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

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