TY - GEN
T1 - Observer design for a class of parabolic systems with arbitrarily delayed measurements
AU - Ahmed-Ali, Tarek
AU - Fridman, Emilia
AU - Giri, Fouad
AU - Kahelras, Mohamed
AU - Lamnabhi-Lagarrigue, Francoise
AU - Burlion, Laurent
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/2
Y1 - 2018/7/2
N2 - An observer is designed for a class of nonlinear parabolic PDEs with delayed point measurements. The novelty lies is that the delay size is arbitrary. To compensate for this arbitrary delay effect, the observer consists of several chained sub-observers. Each sub-observer compensates a fraction of the global delay. The resulting estimation error system is shown to be exponentially stable provided that 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.
AB - An observer is designed for a class of nonlinear parabolic PDEs with delayed point measurements. The novelty lies is that the delay size is arbitrary. To compensate for this arbitrary delay effect, the observer consists of several chained sub-observers. Each sub-observer compensates a fraction of the global delay. The resulting estimation error system is shown to be exponentially stable provided that 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.
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U2 - 10.1109/CDC.2018.8618938
DO - 10.1109/CDC.2018.8618938
M3 - Conference contribution
AN - SCOPUS:85062184431
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2199
EP - 2204
BT - 2018 IEEE Conference on Decision and Control, CDC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 57th IEEE Conference on Decision and Control, CDC 2018
Y2 - 17 December 2018 through 19 December 2018
ER -