PI-control for nonlinear systems with multiple equilibria via 2-contraction
Résumé
In this paper, we study the set-point tracking problem for nonlinear systems for which tracking is possibly achievable on multiple equilibria. We first show that designing a controller enforcing 2-contraction is sufficient to solve this problem, provided that trajectories remain bounded. Then, we focus on unitary relative degree systems in normal form, and we design a controller using high-gain tools. We provide sufficient conditions to solve the problem, under the assumption that the zero dynamics is weakly non-minimum phase and 2-contractive. We validate our design on a frequency set-point tracking problem taken from power systems.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|---|
| Licence |