 |
Journal articles
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 1D 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 sub-observers. Each sub-observer handles a fraction of the considered delay. The resulting estimation error system is shown to be exponentially stable under a sufficient number of sub-observers is used. The stability analysis is based on a specific Lyapunov-Krasovskii functional and the stability conditions are expressed in terms of LMIs.
Cited literature [17 references]
https://hal-centralesupelec.archives-ouvertes.fr/hal-02409383
Contributor : Françoise Lamnabhi-Lagarrigue <>
Submitted on : Monday, July 13, 2020 - 3:13:15 PM
Last modification on : Wednesday, September 16, 2020 - 4:51:22 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 6:07:28 PM
Contributor : Françoise Lamnabhi-Lagarrigue <>
Submitted on : Monday, July 13, 2020 - 3:13:15 PM
Last modification on : Wednesday, September 16, 2020 - 4:51:22 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 6:07:28 PM
File
Observer_design_parabolic_lamn...
Files produced by the author(s)