Technical communique: Finite-horizon H∞ fault estimation for linear discrete time-varying systems with delayed measurements
Technical communique: Finite-horizon H∞ fault estimation for linear discrete time-varying systems with delayed measurements
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DOI：
10.1016/j.automatica.2012.09.003
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发表时间：
2013
期刊：
影响因子：
6.4
通讯作者：
Bo Shen;S. Ding;Zidong Wang
中科院分区：
文献类型：
--
作者：
Bo Shen;S. Ding;Zidong Wang
研究了一类同时具有瞬时测量和延迟测量的线性离散时变系统的有限域H-∞故障估计问题。通过使用重组新息方法，将所考虑的量测重新组织成可处理的形式，在此基础上我们在Krein空间中引入了一个关联随机系统。然后，利用Krein空间中的新息分析和投影理论，得到了有限时间H-∞故障估值器存在的充要条件。随后，通过求解一组黎卡提差分方程组，设计故障估计器以达到指定的H-∞性能准则。最后，通过仿真算例验证了该故障估计方法的有效性。
In this paper, the finite-horizon H∞fault estimation problem is addressed for a class of linear discrete time-varying systems with both instantaneous and delayed measurements. By using the reorganized innovation approach, the considered measurements are reorganized into a tractable form, based on which we introduce an associated stochastic system in a Krein space. Then, by applying the innovation analysis and projection theory in the Krein space, a necessary and sufficient condition for the existence of the finite-horizon H∞fault estimator is obtained. Subsequently, a fault estimator is designed to achieve the specified H∞performance criterion in terms of the solution to a set of Riccati difference equations. Finally, a simulation example is employed to show the effectiveness of the proposed fault estimation approach.