H∞ Filtering for Singular Bilinear Systems with Application to a Single-link Flexible-joint Robot

被引:19
作者
Zerrougui, Mohamed [1 ]
Darouach, Mohamed [2 ]
Boutat-Baddas, Latifa [2 ]
Ali, Harouna Souley [2 ]
机构
[1] Aix Marseille Univ, LSIS CNRS UMR 7296, F-13397 Marseille 20, France
[2] Nancy Univ IUT Longwy, LSIS CNRS UMR 7039, F-54400 Nancy, France
关键词
Bilinear systems; filter design; H-infinity; LMI; uncertainties; OBSERVER DESIGN;
D O I
10.1007/s12555-013-0117-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider the H-infinity filters design for singular bilinear systems. The approach is based on the parameterized solution of a set of constrained Sylvester equations. The exponential convergence and l(2) gain attenuation problems are solved by using the bounded real lemma, which leads to linear matrix inequalities (LMI) formulation. Finally, a detailed design procedure is given for the estimation of the states of a flexible joint robot, which demonstrates the effectiveness of the proposed method.
引用
收藏
页码:590 / 598
页数:9
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