Integral action feedback design for conservative abstract systems in the presence of input nonlinearities
Optimization and Control
2024-05-17 v1
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.
Keywords
Cite
@article{arxiv.2405.09986,
title = {Integral action feedback design for conservative abstract systems in the presence of input nonlinearities},
author = {Ling Ma and Vincent Andrieu and Daniele Astolfi and Mathieu Bajodek and Cheng-Zhong Xu and Xuyang Lou},
journal= {arXiv preprint arXiv:2405.09986},
year = {2024}
}