TY - GEN
T1 - Sampled-data delayed feedback control for stabilizing unstable periodic orbits
AU - Cetinkaya, Ahmet
AU - Hayakawa, Tomohisa
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - A sampled-data delayed feedback control framework is proposed for stabilizing both periodic solutions of linear periodic systems and unstable periodic orbits of nonlinear systems. The proposed control framework utilizes the difference between two consecutive samples of the state as a feedback input. The controller is turned on and off periodically in an alternating fashion, allowing us to obtain a monodromy matrix for the closed-loop system under our proposed control law. We investigate asymptotic behavior of the closed-loop system state trajectories through an analysis of the obtained monodromy matrix. Finally, we present a numerical example to demonstrate the efficacy of our approach.
AB - A sampled-data delayed feedback control framework is proposed for stabilizing both periodic solutions of linear periodic systems and unstable periodic orbits of nonlinear systems. The proposed control framework utilizes the difference between two consecutive samples of the state as a feedback input. The controller is turned on and off periodically in an alternating fashion, allowing us to obtain a monodromy matrix for the closed-loop system under our proposed control law. We investigate asymptotic behavior of the closed-loop system state trajectories through an analysis of the obtained monodromy matrix. Finally, we present a numerical example to demonstrate the efficacy of our approach.
UR - http://www.scopus.com/inward/record.url?scp=84962039008&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2015.7402408
DO - 10.1109/CDC.2015.7402408
M3 - Conference contribution
AN - SCOPUS:84962039008
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1409
EP - 1414
BT - 54rd IEEE Conference on Decision and Control,CDC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 54th IEEE Conference on Decision and Control, CDC 2015
Y2 - 15 December 2015 through 18 December 2015
ER -