【摘要】 讨论了一类受l2范数有界扰动影响的线性离散时变系统H∞故障估计问题.首先将H∞故障估计问题转化为二次型问题,引入相应的Krein空间系统,然后应用Krein空间白噪声估计理论,得到了问题可解的充要条件,并通过矩阵Riccati方程设计H∞故障估计器.算例验证了所提出方法的有效性.更多还原

【Abstract】 The problem of H∞ fault estimation for a class of linear discrete time-varying systems with l2-norm-bounded disturbance was discussed.First,the problem of H∞ fault estimation was reformulated as the problem of a scalar quadratic form.Then,a corresponding system in Krein space was introduced.By applying white noise estimation theory in Krein space,a sufficient and necessary condition on the existence of an H∞ fault estimator was derived,and a solution was obtained in terms of matrix Riccati equation.A numerical example was given to demonstrate the efficiency of the proposed method.更多还原