Active Disturbance Rejection Control for the Stabilization of a Linear Hyperbolic System
ABSTRACT This paper deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on the strategy called active disturbance rejection control (ADRC). The unknown disturbance is estimated by an extended state observer. We prove the existence of solutions of the closed‐loop system and the global asymptotic stability of the closed‐loop system. A numerical example is given to illustrate the efficiency of our strategy.
Authors
- Ismaïla Balogoun (ORCID: https://orcid.org/0000-0002-3024-4861)
- Franck Plestan (ORCID: https://orcid.org/0000-0001-8971-5106)
- Yury Orlov (ORCID: https://orcid.org/0000-0001-9114-0436)
- Swann Marx (ORCID: https://orcid.org/0000-0002-0722-3560)
Institutions
- École Centrale de Nantes (FR)
- Laboratoire des Sciences du Numérique de Nantes (FR)
- Centro de Investigación Científica y de Educación Superior de Ensenada (MX)
- Nantes Université (FR)
Publication Details
- Journal
- International Journal of Robust and Nonlinear Control
- Published
- 2025-02-20
- DOI
- https://doi.org/10.1002/rnc.7874
- Citations
- 1
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.21