Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach - Archive ouverte HAL
Article Dans Une Revue Automatica Année : 2021

Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach

Résumé

This paper introduces a new sliding mode methodology for a system of two hyperbolic equations. The main difference with the existing literature is the definition of the sliding variable, given here by the gradient of a Lyapunov functional. We state and prove an existence theorem and a global asymptotic stability result. The efficiency of our feedback-law is illustrated by some numerical simulations relying on implicit schemes.
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Dates et versions

hal-03084995 , version 1 (21-12-2020)

Identifiants

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Thibault Liard, Ismaïla Balogoun, Swann Marx, Franck Plestan. Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach. Automatica, In press, 135, ⟨10.1016/j.automatica.2021.109964⟩. ⟨hal-03084995⟩
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