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At each sample time, a predicted state set is calculated by zonotopes and an outer bounding ellipsoid of the predicted state set is calculated. State estimation is calculated directly by intersects with an outer bounding ellipsoid and strip. The precision of the state estimation will increase as output order improves by this method. Two examples have been provided to clarify the algorithm.<\/jats:p>","DOI":"10.1177\/0142331216655398","type":"journal-article","created":{"date-parts":[[2016,7,27]],"date-time":"2016-07-27T22:38:38Z","timestamp":1469659118000},"page":"2091-2099","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":12,"title":["A new set-membership estimation method based on zonotopes and ellipsoids"],"prefix":"10.1177","volume":"40","author":[{"given":"Fuqiang","family":"You","sequence":"first","affiliation":[{"name":"College of Information Science and Engineering, Northeastern University, Shenyang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hualu","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Northeastern University, Shenyang, 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