Robust l2-l filtering for switched linear discrete time-delay systems with polytopic uncertainties
Robust l2-l filtering for switched linear discrete time-delay systems with polytopic uncertainties
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DOI：
10.1049/iet-cta:20060127
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发表时间：
2007-05
影响因子：
2.6
通讯作者：
Lixian Zhang;P. Shi;E. Boukas;Changhong Wang
中科院分区：
文献类型：
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作者：
Lixian Zhang;P. Shi;E. Boukas;Changhong Wang
研究了具有多面体不确定性和时变时滞的切换线性离散系统的鲁棒12 - l∞滤波问题。假定时滞是时变有界的，其中包括常延迟和模相关的常延迟。基于模式切换思想和参数相关稳定性方法，设计了鲁棒切换线性滤波器，使相应的滤波误差系统鲁棒渐近稳定，并对所有允许的不确定性达到规定的12 - l∞性能指标。该滤波器的存在条件依赖于时变时滞的上界和下界，用一组线性矩阵不等式表示。通过求解相应的凸优化问题，得到了期望滤波器，并保证了滤波误差系统的最优l2-l∞噪声衰减水平界。通过数值算例验证了理论结果的可行性和潜力。
The problem of robust l2–l∞ filtering for switched linear discrete-time systems with polytopic uncertainties and time-varying delays is investigated. The time delay is assumed to be time-varying and bounded, which covers constant delay and mode-dependent constant delays as special cases. A robust switched linear filter is designed based on the mode-switching idea and a parameter-dependent stability approach such that the corresponding filtering error system is robustly asymptotically stable and achieves a prescribed l2–l∞ performance index for all admissible uncertainties. The existence conditions for such a filter, dependent on the upper and lower bounds of time-varying delays, are formulated in terms of a set of linear matrix inequalities. By solving that corresponding convex optimisation problem, the desired filter is obtained and an optimal l2–l∞ noise-attenuation level bound of the resulting filtering error system is guaranteed as well. A numerical example is given to show the feasibility and potential of the theoretical results.