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Pré-Publication, Document De Travail Année : 2023

Integral action feedback design for conservative abstract systems in the presence of input nonlinearities

Résumé

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global asymptotic stability of the origin of the closed-loop system by constructing a weak Lyapunov functional. Secondly, as an illustration, we apply the results to a wave equation coupled with an ordinary differential equation (ODE) at the boundary. Finally, we give the simulation results to illustrate the effectiveness of our method.
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Dates et versions

hal-04577332 , version 1 (16-05-2024)

Identifiants

  • HAL Id : hal-04577332 , version 1

Citer

Ling Ma, Vincent Andrieu, Daniele Astolfi, Mathieu Bajodek, Cheng-Zhong Xu, et al.. Integral action feedback design for conservative abstract systems in the presence of input nonlinearities. 2023. ⟨hal-04577332⟩
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