Reduced ellipsoidal state observer of multidimensional discrete dynamic systems (Q1592098)

A discrete multi-input multi-output linear control system is considered, where the control vector and a part of the coordinates of the state vector are measurable at every moment of time. It is assumed that the unknown part of the state vector belongs to an ellipsoid at the initial moment of time. A recurrent computational procedure for calculating estimating ellipsoids for the unknown part of the state vector at every next moment of time is proposed. To illustrate the proposed approach, a spacecraft attitude control problem is considered.