TY - GEN
T1 - Event-triggered boundary control strategy for a time fractional wave equation subject to boundary disturbance
AU - Yuan, Zhan Mei
AU - Zhou, Hua Cheng
N1 - Publisher Copyright:
Copyright © 2021 by ASME
PY - 2021
Y1 - 2021
N2 - In this paper, we investigate the event-triggered boundary feedback control problem for an unstable time fractional wave equation with unknown perturbation at the boundary. To cope with the instability of system when there is no disturbance, the backstepping method is adopted to convert the original unstable system into a stable system. An UDE-based estimator based on low-pass filter is proposed to estimate unknown time-varying input disturbance. With the estimation of disturbance, the event-triggered boundary feedback controller is proposed. It is shown that the event-triggered strategy could asymptotically stabilize system and a positive lower bounded of minimum inter-event time is ensured to exclude the Zeno phenomenon.
AB - In this paper, we investigate the event-triggered boundary feedback control problem for an unstable time fractional wave equation with unknown perturbation at the boundary. To cope with the instability of system when there is no disturbance, the backstepping method is adopted to convert the original unstable system into a stable system. An UDE-based estimator based on low-pass filter is proposed to estimate unknown time-varying input disturbance. With the estimation of disturbance, the event-triggered boundary feedback controller is proposed. It is shown that the event-triggered strategy could asymptotically stabilize system and a positive lower bounded of minimum inter-event time is ensured to exclude the Zeno phenomenon.
UR - http://www.scopus.com/inward/record.url?scp=85119960255&partnerID=8YFLogxK
U2 - 10.1115/DETC2021-70336
DO - 10.1115/DETC2021-70336
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AN - SCOPUS:85119960255
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 17th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA)
PB - American Society of Mechanical Engineers (ASME)
T2 - 17th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, MESA 2021, Held as Part of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2021
Y2 - 17 August 2021 through 19 August 2021
ER -