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Journal Articles IEEE Transactions on Automatic Control Year : 2022

On preserving-excitation properties of a dynamic regressor extension scheme

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Abstract

In this work, we consider the excitation preservation problem within the context of the Dynamic Regressor Extension and Mixing procedure. To ensure that the input excitation is not lost, we apply the Kreisselmeier’s regressor extension scheme and prove that this choice always preserves both the persistent and the interval input excitations. We also provide a lower bound on the resulting excitation level and study the dynamics of the novel regressor. Illustrative simulations support our theoretical results
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Dates and versions

hal-03245139 , version 1 (01-06-2021)
hal-03245139 , version 2 (05-05-2022)

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Cite

Stanislav Aranovskiy, Rosane Ushirobira, Marina Korotina, Alexey Vedyakov. On preserving-excitation properties of a dynamic regressor extension scheme. IEEE Transactions on Automatic Control, 2022, pp.1-1. ⟨10.1109/TAC.2022.3172175⟩. ⟨hal-03245139v2⟩
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