BERCU, Bernard; VAZQUEZ, Victor

doi:10.1080/00207171003642188

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BERCU, Bernard
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Advanced Learning Evolutionary Algorithms [ALEA]

VAZQUEZ, Victor
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]

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International Journal of Control. 2010, vol. 83, n° 6, p. 1145-1154

Taylor & Francis

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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.< Réduire

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On the usefulness of persistent excitation in ARX adaptive tracking

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