Integral Action Feedback Design for Conservative Abstract Systems in the Presence of Input Nonlinearities
In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to input nonlinearities. Based on the designed control law, we first prove the well-posedness using nonlinear semigroups theory and global asymptotic stability of the origin for the closed-loop system by constructing a weak Lyapunov functional. Secondly, as an illustration, we apply the results to a wave equation with integral action in two different cases: bounded control operator and unbounded control operator.
Authors
- Cheng-Zhong Xu (ORCID: https://orcid.org/0000-0003-1622-778X)
- Mathieu Bajodek (ORCID: https://orcid.org/0000-0001-8562-5031)
- Xuyang Lou (ORCID: https://orcid.org/0000-0002-7499-1308)
- Daniele Astolfi (ORCID: https://orcid.org/0000-0003-2690-7420)
- Vincent Andrieu (ORCID: https://orcid.org/0000-0003-1877-6205)
- Ling Ma (ORCID: https://orcid.org/0009-0006-1823-9150)
Institutions
- Université Claude Bernard Lyon 1 (FR)
- Jiangnan University (CN)
- Centre National de la Recherche Scientifique (FR)
- Laboratoire d'Automatique, de Génie des Procédés et de Génie Pharmaceutique (FR)
Publication Details
- Journal
- IEEE Transactions on Automatic Control
- Published
- 2025-05-28
- DOI
- https://doi.org/10.1109/tac.2025.3574637
- Primary Topic
- Neural Networks and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- China Scholarship Council