Communication Dans Un Congrès Année : 2025

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.

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hal-05053341 , version 1 (05-05-2025)

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  • HAL Id : hal-05053341 , version 1

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Mattia Giaccagli, Pietro Lorenzetti, Daniele Astolfi, Vincent Andrieu. PI-control for nonlinear systems with multiple equilibria via 2-contraction. 13th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2025, Jul 2025, Reykjavik, Iceland. ⟨hal-05053341⟩
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