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Article Dans Une Revue International Journal of Control Année : 2010

On the usefulness of persistent excitation in ARX adaptive tracking

Résumé

The usefulness of persistent excitation is well-known in the control community. Thanks to a persistently excited adaptive tracking control, we show that it is possible to avoid the strong controllability assumption recently proposed in the multidimensional ARX framework. We establish the almost sure convergence for both least squares and weighted least squares estimators of the unknown parameters. A central limit theorem and a law of iterated logarithm are also provided. All this asymptotical analysis is related to the Schur complement of a suitable limiting matrix.

Dates et versions

hal-00386177 , version 1 (20-05-2009)

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Bernard Bercu, Victor Vazquez. On the usefulness of persistent excitation in ARX adaptive tracking. International Journal of Control, 2010, 83 (6), pp.1145-1154. ⟨10.1080/00207171003642188⟩. ⟨hal-00386177⟩
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