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

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...

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Bibliographic Details
Published in2012 IEEE 51st IEEE Conference on Decision and Control (CDC) pp. 979 - 984
Main Authors Bao-Zhu Guo, Feng-Fei Jin, Cui-Zhen Yao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2012
Subjects
Closed loop systems
Continuous wavelet transforms
Educational institutions
Eigenvalues and eigenfunctions
Propagation
Sliding mode control
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ISBN9781467320658
146732065X
ISSN0191-2216
DOI10.1109/CDC.2012.6427033

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Summary: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.
ISBN:9781467320658
146732065X
ISSN:0191-2216
DOI:10.1109/CDC.2012.6427033