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arXiv · 2405.09986

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

Ling Ma·Vincent Andrieu·Daniele Astolfi·Mathieu Bajodek·Cheng-Zhong Xu·Xuyang Lou
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Abstract

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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Ling Ma, Vincent Andrieu, Daniele Astolfi, Mathieu Bajodek, Cheng-Zhong Xu, Xuyang Lou. 2024-05-16. Integral action feedback design for conservative abstract systems in the presence of input nonlinearities. https://arxiv.org/abs/2405.09986

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