Finite-Horizon $H_{\infty}$ Fault Estimation for Uncertain Linear Discrete Time-Varying Systems With Known Inputs
Finite-Horizon $H_{\infty}$ Fault Estimation for Uncertain Linear Discrete Time-Varying Systems With Known Inputs
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DOI：
10.1109/tcsii.2013.2285969
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发表时间：
2013-11
期刊：
影响因子：
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通讯作者：
Bo Shen;S. Ding;Zidong Wang
中科院分区：
文献类型：
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作者：
Bo Shen;S. Ding;Zidong Wang
在本文中，研究了一类具有已知输入的不确定线性离散时变系统的有限范围 H∞ 故障估计问题。为了更好地反映已知输入对整个故障估计系统的影响，提出了一种包含已知输入的新的H∞性能指标。为了应对不确定性，用某种不定二次形式构造了辅助系统。通过重现Krein空间理论，解决了相关的不定二次型优化问题，并为所需故障估计器的存在性建立了保守性低得多的充分条件。然后，根据矩阵方程的显式解同时导出所有估计器参数。最后，采用一个说明性的数值例子来证明所提出的故障估计方案的有效性。
In this brief, the finite-horizon H∞ fault estimation problem is investigated for a class of uncertain linear discrete time-varying systems with known inputs. A new H∞ performance index including the known inputs is put forward in order to better reflect the effect of the known input on the whole fault estimation systems. To cope with the uncertainties, an auxiliary system is constructed with a certain indefinite quadratic form. By recurring to the Krein-space theory, the optimization problem of the associated indefinite quadratic form is solved, and a sufficient condition with much less conservativeness is established for the existence of the desired fault estimator. Then, all the estimator parameters are derived simultaneously in terms of an explicit solution to a matrix equation. Finally, an illustrative numerical example is employed to demonstrate the effectiveness of the proposed fault estimation scheme.