Sliding Mode Control to Stabilization of a Tip-Force Destabilized Shear Beam Subject to Boundary Control Matched Disturbance

Jun Jun Liu; Xin Chen; Jun Min Wang

doi:10.1007/s10883-014-9262-3

Sliding Mode Control to Stabilization of a Tip-Force Destabilized Shear Beam Subject to Boundary Control Matched Disturbance

Jun Jun Liu^*, Xin Chen, Jun Min Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we are concerned with the boundary stabilization of a one-dimensional tip-force destabilized shear beam equation subject to boundary control matched disturbance. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop system is proved and the “reaching condition” is obtained.

Original language	English
Pages (from-to)	117-128
Number of pages	12
Journal	Journal of Dynamical and Control Systems
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/s10883-014-9262-3
Publication status	Published - 1 Jan 2016

Keywords

Boundary control
Disturbance rejection
Sheer beam equation
Sliding mode control
Stability

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10.1007/s10883-014-9262-3

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abstract = "In this paper, we are concerned with the boundary stabilization of a one-dimensional tip-force destabilized shear beam equation subject to boundary control matched disturbance. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop system is proved and the “reaching condition” is obtained.",

keywords = "Boundary control, Disturbance rejection, Sheer beam equation, Sliding mode control, Stability",

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N2 - In this paper, we are concerned with the boundary stabilization of a one-dimensional tip-force destabilized shear beam equation subject to boundary control matched disturbance. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop system is proved and the “reaching condition” is obtained.

AB - In this paper, we are concerned with the boundary stabilization of a one-dimensional tip-force destabilized shear beam equation subject to boundary control matched disturbance. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop system is proved and the “reaching condition” is obtained.

KW - Boundary control

KW - Disturbance rejection

KW - Sheer beam equation

KW - Sliding mode control

KW - Stability

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Sliding Mode Control to Stabilization of a Tip-Force Destabilized Shear Beam Subject to Boundary Control Matched Disturbance

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Keywords

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