Sliding mode control to the stabilization of a linear 2×2 hyperbolic system with boundary input disturbance

In this paper, sliding mode control approach is used to stabilize a 2×2 system of first-order linear hyperbolic PDEs subject to boundary input disturbance. Disturbance rejection is achieved, and with the designed first-order sliding mode controller, the resulting closed-loop system admits a unique (...

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Bibliographic Details
Published in2014 American Control Conference pp. 1027 - 1032
Main Authors Shuxia Tang, Krstic, Miroslav
Format Conference Proceeding
LanguageEnglish
Published American Automatic Control Council 01.06.2014
Subjects
Backstepping
Disturbance rejection
First-order sliding mode control
Linear 2×2 hyperbolic system
Trajectory
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ISBN1479932728
9781479932726
ISSN0743-1619
DOI10.1109/ACC.2014.6858635

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Summary:In this paper, sliding mode control approach is used to stabilize a 2×2 system of first-order linear hyperbolic PDEs subject to boundary input disturbance. Disturbance rejection is achieved, and with the designed first-order sliding mode controller, the resulting closed-loop system admits a unique (mild) solution without chattering. Convergence to the chosen infinite-dimensional sliding surface of state trajectories takes place in a finite time. Then on the sliding surface, the system is exponentially stable with a decay rate depending on the spatially varying system coefficients. A simulation example is presented to illustrate the effectiveness and performance of sliding mode control method.
ISBN:1479932728
9781479932726
ISSN:0743-1619
DOI:10.1109/ACC.2014.6858635