H filter design for a class of nonlinear discrete-time singular systems

被引：7
|
作者：
Darouach, M. [1 ]
Boutat-Baddas, L. [1 ]
Zerrougui, M. [1 ]
机构：
[1] Univ Lorraine IUT Longwy, CRAN CNRS UMR7039, 186 Rue Lorraine, F-54400 Cosnes Et Romain, France
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2013年 / 86卷 / 09期
关键词：
reduced order; minimal order; full order; nonlinear singular systems; LMI; existence conditions; stability H filter; generalised Sylvester equations; DESCRIPTOR SYSTEMS; OBSERVER DESIGN; ORDER OBSERVERS; FULL-ORDER; STATE; UNCERTAIN;
D O I：
10.1080/00207179.2013.792000
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the H filter design problem for a class of discrete-time Lipschitz nonlinear singular systems. The approach is based on the parameterisation of the obtained algebraic constraints from the estimation errors. Sufficient conditions for the existence of the filters which guarantee stability and the worst case filter error energy over all bounded energy disturbances is minimised are given. The method also unifies the design for the full-order, reduced-order, minimal-order filters for discrete- time systems. The presented results are less conservative than those existing in the literature, this is due to the introduction of new slack variables. Application to systems with unknown input is presented via a numerical example.
引用
收藏
页码：1597 / 1606
页数：10
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