Parameter-dependent filter design with guaranteed H-infinity performance
Parameter-dependent filter design with guaranteed H-infinity performance
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DOI：
10.1049/ip-cta:20045050
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发表时间：
2005-09
期刊：
影响因子：
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通讯作者：
Huijun Gao;J. Lam;P. Shi;Changhong Wang
中科院分区：
文献类型：
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作者：
Huijun Gao;J. Lam;P. Shi;Changhong Wang
研究了一类线性不确定系统的H_无穷滤波问题。假定参数不确定性位于多面体中。设计了一种参数相关的滤波器，它保证滤波误差系统渐近稳定，并具有给定的H-无穷性能。利用参数依赖的Lyapunov函数方法，以线性矩阵不等式的形式建立了期望滤波器存在的充分条件，这些条件可以利用现有的工具箱很容易地处理。研究了连续时间和离散时间两种情况。数值算例表明，与已有结果相比，本文提出的设计方法更有效，保守性更小。
In the paper, the problem of H-infinity filtering for a class of linear uncertain systems is studied. The parameter uncertainties are assumed to reside in a polytope. The paper is focused on the design of a parameter-dependent filter which guarantees the filtering error system to be asymptotically stable and has a prescribed H-infinity performance. By employing a parameterdependent Lyapunov function approach, sufficient conditions are established for the existence of the desired filters in terms of linear matrix inequalities, which can be handled easily by using the available toolbox. Both continuous- and discrete-time cases are investigated. It is shown, via a numerical example, that the proposed filter design methods are more effective and less conservative than some existing results.