Title | ||
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Observer Design For a Class of Parabolic Systems With Large Delays and Sampled Measurements |
Abstract | ||
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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 |
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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-Ali | 1 | 245 | 26.90 |
Emilia Fridman | 2 | 2462 | 236.76 |
F. Giri | 3 | 110 | 29.41 |
Mohamed Kahelras | 4 | 1 | 0.35 |
Françoise Lamnabhi-Lagarrigue | 5 | 248 | 25.22 |
Laurent Burlion | 6 | 69 | 13.81 |