Title
Observer Design For a Class of Parabolic Systems With Large Delays and Sampled Measurements
Abstract
In this paper, we design a novel observer for a class of semilinear heat one dimmensional (1-D) equations under the delayed and sampled point measurements. The main novelty is that the delay is arbitrary. To handle any arbitrary delay, the observer is constituted of a chain of subobservers. Each subobserver handles a fraction of the considered delay. The resulting estimation error system is shown to be exponentially stable under a sufficient number of subobservers is used. The stability analysis is based on a specific Lyapunov–Krasovskii functional and the stability conditions are expressed in terms of linear matrix inequalities (LMIs).
Year
DOI
Venue
2020
10.1109/TAC.2019.2941434
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Observers,Delays,Stability analysis,Delay effects,Convergence,Symmetric matrices,Numerical stability
Journal
65
Issue
ISSN
Citations 
5
0018-9286
1
PageRank 
References 
Authors
0.35
10
6
Name
Order
Citations
PageRank
Tarek Ahmed-Ali124526.90
Emilia Fridman22462236.76
F. Giri311029.41
Mohamed Kahelras410.35
Françoise Lamnabhi-Lagarrigue524825.22
Laurent Burlion66913.81