TY - GEN
T1 - Sampled-data observer for 2D Navier-Stokes equation
AU - Kang, Wen
AU - Fridman, Emilia
AU - Zhuk, Sergiy
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - We consider sampled-data observer for PDE system governed by the Navier-Stokes equation on the rectangular domain. The system is exponentially stable. We aim to design an observer that exponentially converges to solution with a higher decay rate. We suggested to divide the rectangular domain into N square subdomains, where sensors provide spatially averaged discrete-time state measurements. We derive sufficient conditions ensuring regional exponential stability of the closed-loop system in terms of Linear Matrix Inequalities (LMIs) by using Lyapunov-Krasovskii method. The efficiency of the results is demonstrated by a numerical example.
AB - We consider sampled-data observer for PDE system governed by the Navier-Stokes equation on the rectangular domain. The system is exponentially stable. We aim to design an observer that exponentially converges to solution with a higher decay rate. We suggested to divide the rectangular domain into N square subdomains, where sensors provide spatially averaged discrete-time state measurements. We derive sufficient conditions ensuring regional exponential stability of the closed-loop system in terms of Linear Matrix Inequalities (LMIs) by using Lyapunov-Krasovskii method. The efficiency of the results is demonstrated by a numerical example.
UR - http://www.scopus.com/inward/record.url?scp=85082484403&partnerID=8YFLogxK
U2 - 10.1109/CDC40024.2019.9029275
DO - 10.1109/CDC40024.2019.9029275
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AN - SCOPUS:85082484403
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1201
EP - 1206
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 11 December 2019 through 13 December 2019
ER -