| 引用本文: | 洪晓芳,王玉振.一类变时滞饱和不确定系统鲁棒H∞滤波器设计[J].控制理论与应用,2012,29(10):1245~1252.[点击复制] |
| HONG Xiao-fang,WANG Yu-zhen.Robust H-infinity filter for a class of uncertain systems with time-varying delay and saturation[J].Control Theory and Technology,2012,29(10):1245~1252.[点击复制] |
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| 一类变时滞饱和不确定系统鲁棒H∞滤波器设计 |
| Robust H-infinity filter for a class of uncertain systems with time-varying delay and saturation |
| 摘要点击 2428 全文点击 1520 投稿时间：2012-02-22 修订日期：2012-07-21 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.10.CCTA120129 |
| 2012,29(10):1245-1252 |
| 中文关键词 H∞滤波器 饱和 不确定性 时滞依赖 线性矩阵不等式 |
| 英文关键词 H-infinity filter saturation uncertainty delay-dependent linear matrix inequality |
| 基金项目 国家自然科学基金资助项目(G61074068, G61034007, G61174036); 山东省泰山学者专项资助项目; 教育部高校博士点专项资助项目(G200804220028); 山东省自然科学基金资助项目(ZR2010FM013). |
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| 中文摘要 |
| 研究一类不确定时变时滞饱和系统的H∞滤波器设计问题. 该类系统状态方程中含有时变时滞和有界不确定项, 输出方程中含有饱和项, 系统的噪声信号功率有界但统计特性未知. 本文给出一种线性滤波器结构, 提出一种新的设计方法. 该方法主要应用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式, 来分析和设计滤波器; 它能使得时变时滞项, 饱和项以及不确定项在设计中得到有效处理, 且所设计的滤波器能满足H∞性能指标, 滤波器参数通过求解一种线性矩阵不等式来确定. 例子的分析与仿真验证了本文方法的有效性. |
| 英文摘要 |
| This paper investigates the H-infinity filtering problem for a class of uncertain systems with both time-varying time-delay and saturation. In these systems, bound uncertain terms exist in their state equations and the saturation appears in their output equations; process and measurement noises are of unknown statistical characteristics but are bounded in power. For these systems, we propose the generalized dynamic filter architecture, and develop a novel method for designing filter. By using the stability theorem of Lyapunov-Krasovskii and employing linear matrix inequalities (LMI), we effectively handle the time-varying time-delay, the saturation output and the bound uncertain terms. The parameters of the filter are obtained by solving a special kind of linear matrix inequalities. The designed filter also meets the requirements in H-infinity performances. The analysis of an illustrative example shows that the proposed method is effective. |