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ECOLE SUPÉRIEURE D'ÉLECTRICITÉ Une grande école d'ingénieurs au cœur des sciences de l'information,de l'énergie et des systèmes |
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Conference papers
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.
Cited literature [18 references]
https://hal-supelec.archives-ouvertes.fr/hal-00973454
Contributor : Pascale Lepeltier <>
Submitted on : Monday, March 16, 2020 - 3:05:17 PM
Last modification on : Wednesday, January 27, 2021 - 5:16:02 PM
Long-term archiving on: : Wednesday, June 17, 2020 - 1:58:23 PM
Contributor : Pascale Lepeltier <>
Submitted on : Monday, March 16, 2020 - 3:05:17 PM
Last modification on : Wednesday, January 27, 2021 - 5:16:02 PM
Long-term archiving on: : Wednesday, June 17, 2020 - 1:58:23 PM
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ecc2014v3.pdf
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