Article Dans Une Revue Automatica Année : 2023

A study on switched affine system interconnected with fast LTI dynamics

Résumé

We study an interconnection between a switched affine system and a fast LTI dynamics. Often, the classical stabilization method based on the existence of a stable convex combination is directly used for systems on two time scales while using only the slow dynamics. Here, we provide conditions for checking the Uniform Ultimate Boundedness when the fast dynamics is taken into account. In addition, criteria for verifying asymptotical stability are provided for a special case. Numerical examples illustrate the main results.

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hal-04278508 , version 1 (10-11-2023)

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  • HAL Id : hal-04278508 , version 1

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Ying Tang, Christophe Fiter, Laurentiu Hetel. A study on switched affine system interconnected with fast LTI dynamics. Automatica, In press. ⟨hal-04278508⟩
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