Networked H filtering of semilinear diffusion PDEs

Netzer Bar Am, Emilia Fridman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479977468
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: 15 Dec 201417 Dec 2014

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/TerritoryUnited States
CityLos Angeles


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