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Pré-Publication, Document De Travail Année : 2023

On the computation of controlled invariant and output invisible subspaces for parameter-dependent systems

Résumé

This paper proposes a new approach for computing controlled invariant and output invisible subspaces of parameter-dependent systems. Non-strictly proper systems are considered, and the system matrices can exhibit a polynomial dependence on the parameter. The proposed approach is applied in both contexts of constant and parameter-dependent inputs making the subspace invariant, referred to as the generalized or generalized adaptively controlled invariant and output invisible subspaces. A large discussion unifies and makes the link with several contributions to the literature. Moreover, a procedure to compute one of the parameter-dependent input trajectories is provided. A numerical example is presented to demonstrate the effectiveness of the strategy.

Domaines

Automatique
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Dates et versions

hal-04329175 , version 1 (07-12-2023)

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  • HAL Id : hal-04329175 , version 1

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Valessa Valentim Viana, Jérémie Kreiss, Marc Jungers. On the computation of controlled invariant and output invisible subspaces for parameter-dependent systems. 2023. ⟨hal-04329175⟩
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