Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input

Bao Zhu Guo; Feng Fei Jin; Cui Zhen Yao

doi:10.1109/CDC.2012.6427033

Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input

Bao Zhu Guo^*, Feng Fei Jin, Cui Zhen Yao

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

Abstract

We propose two strategies to stabilize a one-dimensional anti-stable wave equation subject to boundary disturbance, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The finite 'reaching condition', and the existence and uniqueness of the solution for all states in the state space in SMC are established. We also develop an ADRC to attenuate the disturbance and show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.

Original language	English
Article number	6427033
Pages (from-to)	979-984
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6427033
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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Guo, B. Z., Jin, F. F., & Yao, C. Z. (2012). Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input. Proceedings of the IEEE Conference on Decision and Control, 979-984. Article 6427033. https://doi.org/10.1109/CDC.2012.6427033

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abstract = "We propose two strategies to stabilize a one-dimensional anti-stable wave equation subject to boundary disturbance, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The finite 'reaching condition', and the existence and uniqueness of the solution for all states in the state space in SMC are established. We also develop an ADRC to attenuate the disturbance and show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.",

author = "Guo, {Bao Zhu} and Jin, {Feng Fei} and Yao, {Cui Zhen}",

year = "2012",

doi = "10.1109/CDC.2012.6427033",

language = "English",

pages = "979--984",

journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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T1 - Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input

AU - Guo, Bao Zhu

AU - Jin, Feng Fei

AU - Yao, Cui Zhen

PY - 2012

Y1 - 2012

N2 - We propose two strategies to stabilize a one-dimensional anti-stable wave equation subject to boundary disturbance, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The finite 'reaching condition', and the existence and uniqueness of the solution for all states in the state space in SMC are established. We also develop an ADRC to attenuate the disturbance and show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.

AB - We propose two strategies to stabilize a one-dimensional anti-stable wave equation subject to boundary disturbance, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The finite 'reaching condition', and the existence and uniqueness of the solution for all states in the state space in SMC are established. We also develop an ADRC to attenuate the disturbance and show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.

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U2 - 10.1109/CDC.2012.6427033

DO - 10.1109/CDC.2012.6427033

M3 - Conference article

AN - SCOPUS:84874269154

SN - 0743-1546

SP - 979

EP - 984

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6427033

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input

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