TY - GEN
T1 - Sampled-data control of 2D Kuramoto-Sivashinsky equation under the averaged measurements
AU - Kang, Wen
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - This paper deals with sampled-data control of 2D Kuramoto-Sivashinsky equation over a rectangular domain . We suggest to divide the 2D rectangular into N sub-domains, where sensors provide spatially averaged state measurements to be transmitted through communication network. We design a regionally stabilizing controller applied through distributed in space characteristic functions. Sufficient conditions ensuring regional stability of the closed-loop system are established in terms of linear matrix inequalities (LMIs). By solving these LMIs, an estimate on the set of initial conditions starting from which the state trajectories of the system are exponentially converging to zero. A numerical example demonstrates the efficiency of the results.
AB - This paper deals with sampled-data control of 2D Kuramoto-Sivashinsky equation over a rectangular domain . We suggest to divide the 2D rectangular into N sub-domains, where sensors provide spatially averaged state measurements to be transmitted through communication network. We design a regionally stabilizing controller applied through distributed in space characteristic functions. Sufficient conditions ensuring regional stability of the closed-loop system are established in terms of linear matrix inequalities (LMIs). By solving these LMIs, an estimate on the set of initial conditions starting from which the state trajectories of the system are exponentially converging to zero. A numerical example demonstrates the efficiency of the results.
UR - https://www.scopus.com/pages/publications/85082498003
U2 - 10.1109/CDC40024.2019.9029219
DO - 10.1109/CDC40024.2019.9029219
M3 - Conference contribution
AN - SCOPUS:85082498003
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 268
EP - 273
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -