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Integrated fault/state estimation for two-dimensional linear time-varying systems

In this study, state and fault estimation problem are addressed for two-dimensional linear time-varying systems, which are described by Fornasini-Marchesini second model. For the systems subject to fault and white noise, based on generalized two-dimensional Kalman estimation theory, the system state and fault are estimated simultaneously in the sense of unbiased minimum variance. By transforming the existence condition of estimator into the solvability of matrix equations, the desired estimator gain matrices can be deduced. A numerical example is given to demonstrate the effectiveness of the proposed method in the end.