Robust reduced-order l2-l∞ filtering for network-based discrete-time linear systems
Robust reduced-order l2-l∞ filtering for network-based discrete-time linear systems
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DOI：
10.1016/j.sigpro.2014.10.023
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发表时间：
2015-04
期刊：
影响因子：
--
通讯作者：
Zhuo Zhang;Zexu Zhang;Shichun Yang
中科院分区：
文献类型：
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作者：
Zhuo Zhang;Zexu Zhang;Shichun Yang
研究了一类具有网络诱导时滞的离散时间系统的12 −l∞滤波问题。目标是设计一个降阶滤波器，使得估计误差收敛到零，同时满足l2 −l∞性能。转移概率部分未知的马尔可夫链被用来描述网络引起的延迟。然后，考虑了一个时滞相关的线性滤波器，其参数由网络诱导时滞描述。利用Finsler引理，给出了滤波器存在的线性矩阵不等式（LMI）充分条件，该条件保证估计误差收敛到零，且具有l2 −l∞的性能指标γ.通过求解这些LMI，可以计算滤波器增益矩阵。最后，数值仿真结果表明，所设计的滤波器是成功的，即使在网络诱导延迟的存在。
This paper investigates thel2−l∞filtering problem for a class of discrete-time system subject to network-induced delays. The objective is to design a reduced-order filter, such that the estimation errors converge to zero, while anl2−l∞performance is satisfied. A Markov chain with partly unknown transition probabilities is used to describe the network-induced delay. Then, a delay-dependent linear filter is considered, whose parameters are described by the network-induced delay. By using Finsler׳s lemma, sufficient conditions in terms of linear matrix inequalities (LMIs) for the existence of the desired filter are derived, which guarantee that estimation errors converge to zero with anl2−l∞performanceγ. By solving those LMIs, filter gain matrices can be calculated. Finally, numerical simulations are given to illustrate that the designed filter is successful even in the existence of network-induced delays.