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Improved Set-Membership Estimation Approach based on Zonotopes and Ellipsoids

Abstract : This paper presents an improved approach for guaranteed state estimation combining set-membership estimation techniques based on zonotopes and ellipsoids, applied on linear discrete-time systems with unknown but bounded perturbations and noises. The proposed approach starts with a zonotopic approximation and continues with an ellipsoidal approximation; this allows to manage the trade-off between the accuracy of the zonotopic estimation and the reduced complexity of the ellipsoidal estimation. A new criterion based on the P-radius of a zonotope is proposed to make the transition from the zonotopic estimation to the ellipsoidal estimation. An illustrative example is analyzed to show the advantages of the proposed approach.
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Sofiane Ben Chabane, Cristina Stoica Maniu, Teodoro Alamo, Eduardo Fernandez Camacho, Didier Dumur. Improved Set-Membership Estimation Approach based on Zonotopes and Ellipsoids. 2014 European Control Conference (ECC), Jun 2014, Strasbourg, France. ⟨10.1109/ECC.2014.6862412⟩. ⟨hal-00973454⟩

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