Non-fragile H∞ Filtering for Discrete-time Systems with Finite Word Length Consideration
-
摘要: 本文研究了线性离散时间系统由有限字长影响的非脆弱滤波问题. 假定所设计的滤波器具有加性增益变量, 此增益变量反映了滤波器执行时的有限字长的影响. 为了解决该非脆弱滤波问题, 提出了一个结构的顶点分离器的概念, 并采用该分离器, 基于线性矩阵不等式给出了非脆弱滤波器设计的充分条件. 设计的结果使得误差系统渐进稳定且具有一定的性能水平. 数值例子验证了方法的有效性.Abstract: The nonfragile H∞ filtering problem affected by finite word length (FWL) for linear discrete-time systems is investigated in this paper. The filter to be designed is assumed to be with additive gain variations, which reflect the FWL effects on filter implementation. A notion of structured vertex separator is proposed to deal with the problem and exploited to develop sufficient conditions for the nonfragile H∞ filter design in terms of a set of linear matrix inequalities (LMIs). The design renders the augmented system asymptotically stable and guarantees the H∞ attenuation level less than a prescribed level. A numerical example is given to illustrate the effect of the proposed method.
-
Key words:
- Linear system /
- H∞ filter /
- fragility, finite word length (FWL) /
- linear matrix inequality (LMI) /
点击查看大图
计量
- 文章访问数: 1925
- HTML全文浏览量: 38
- PDF下载量: 1668
- 被引次数: 0