Mahmoud M.S.Xie L.Soh Y.C.Department of Electrical and Computer EngineeringKuwait UniversityKuwait; Department of EngineeringMSA UniversityAmer St.Mesaha SquareDokkiEgypt; School of Electrical and Electronic EngineeringNanyang Technological UniversityNanyang AvenueSingapore 639798Singapore2020-01-252020-01-25200013502379https://doi.org/10.1049/ip-cta:20000749PubMed ID :https://ieeexplore.ieee.org/document/903454ScopusA robust estimator design methodology has been developed for a class of linear uncertain discrete-time systems. It extends the Kalman filter to the case in which the underlying system is subject to norm-bounded uncertainties and constant state delay. A linear state estimator is constructed via a systematic procedure such that the estimation error covariance is guaranteed to lie within a certain bound for all admissible uncertainties. The solution is given in terms of two Riccati equations involving scaling parameters. A numerical example is provided to illustrate the theory.EnglishDiscrete time control systemsLinear control systemsRiccati equationsRobustness (control systems)State estimationUncertain systemsDiscrete state delay systemsKalman filteringArticlehttps://doi.org/10.1049/ip-cta:20000749PubMed ID :