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This contribution proposes a recursive set-membership method for theellipsoidal state characterization for discrete-time linear time-varying modelswith additive unknown disturbances vectors, bounded by possibly degeneratezonotopes and polytopes, impacting respectively, the state evolution equationand the sporadic measurement vectors, which are expressed as linear inequalityand equality constraints on the state vector. New algorithms are designedconsidering the unprecedented fact that, due to equality constraints, the shapematrix of the ellipsoid characterizing all possible values of the state vectoris non invertible. The two main size minimizing criteria (volume and sum ofsquared axes lengths) are examined in the time update step and also in theobservation updating, in addition to a third one, minimizing some error normand ensuring the input-to-state stability of the estimation error. The author'spapers [1] and [2] were combined into this longer, more comprehensive version.It includes all the proofs and a few images and is meant to be a support forthe reader. There is no introduction, no conclusion, and no applicationexamples.

Bounded-error constrained state estimation of LTV systems in presence of sporadic measurements