Séminaire Damiano Rotondo – Weighted linearization: Theory and Applications


18 juin 2024    
14h00 - 15h00

Polytech Nancy
2 rue Jean Lamour, Vandœuvre-lès-Nancy, 54519

Type d’évènement

This talk describes a generalization of the Taylor-based linearization technique in which the computation of the Jacobian matrices at the state trajectory of interest is replaced by the multiple integral over the state and input spaces of the Jacobian matrix functions multiplied by a weighting function. It is shown that the standard linearization procedure can be recovered as a particular case of the proposed weighted linearization by choosing the weighting function as an appropriately shifted multivariable Dirac delta function. Linear-quadratic regulator design, state estimation using extended Kalman filter and gradient-based optimization are used as illustrative examples that show the potentiality of this alternative linearization technique.

Lien TEAMS: https://teams.microsoft.com/l/meetup-join/19%3ameeting_OGVlNWFkNjAtNDAyYy00MWQ1LWFkZjEtMzY3MWQ1NjJkMGFj%40thread.v2/0?context=%7b%22Tid%22%3a%22158716cf-46b9-48ca-8c49-c7bb67e575f3%22%2c%22Oid%22%3a%22ce45dfa9-b401-4f49-8900-5ef5f5b8f8d9%22%7d

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