Improved Set-Membership Estimation Approach based on Zonotopes and Ellipsoids

Sofiane Ben Chabane 1 Cristina Stoica Maniu 1 Teodoro Alamo 2 Edouardo F Camacho 2 Didier Dumur 1
1 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
2 Universidad de Sevilla
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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Conference papers
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https://hal-supelec.archives-ouvertes.fr/hal-00973454
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Submitted on : Friday, April 4, 2014 - 11:35:44 AM
Last modification on : Sunday, November 3, 2019 - 2:42:04 PM

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Sofiane Ben Chabane, Cristina Stoica Maniu, Teodoro Alamo, Edouardo F 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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