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This paper deals with the problem of H_∞fault estimation for a class of linear discrete time-varying systems with L_2-norm bounded unknown input.The main contribution is the development of a new Krein space-based approach to H_∞fault estimation.The problem of H_∞fault estimation is firstly equated to the minimum of a scalar quadratic form.Then,by introducing a corresponding system in Krein space,a sufficient and necessary condition on the existence of an H_∞fault estimator is derived and a solution to its parameter matrices is obtained in terms of matrix Riccati equation.Finally,two numerical examples are given to demonstrate the efficiency of the proposed method.
This paper deals with the problem of H_∞fault estimation for a class of linear discrete time-varying systems with L_2-norm bounded unknown input. The main contribution is the development of a new Krein space-based approach to H_∞fault estimation. problem of H_∞fault estimation is initially equated to the minimum of a scalar quadratic form.Then, by introducing a corresponding system in Krein space, a sufficient and necessary condition on the existence of an H_∞fault estimator is derived and a solution to its parameter matrices is obtained in terms of matrix Riccati equation. Finally, two numerical examples are demonstrated to the efficiency of the proposed method.