H∞ Unbiased Filtering for Linear Descriptor Systems via LMI

被引：58
作者：
Darouach, M.
机构：
[1] CRAN-CNRS, UMR 7039, Nancy University
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 08期
关键词：
Descriptor systems; existence conditions; full order; linear matrix inequality (LMI); minimal order; rectangular systems; reduced order; unknown input estimation; SINGULAR SYSTEMS; UNKNOWN INPUTS; STATE ESTIMATION; OBSERVERS; DESIGN;
D O I：
10.1109/TAC.2009.2023962
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 note concerns the optimal H-infinity unbiased filtering problem for linear descriptor systems. It unifies the design of reduced-order, minimal-order and full-order filters for continuous and discrete-time systems. Necessary and sufficient conditions for the solvability of the problem are obtained in terms of a set of linear matrix inequalities (LMIs). The parametrization of all H-infinity unbiased filters is presented. Application to standard systems with or without unknown inputs is given. A numerical example is given to show the applicability of the presented approach.
引用
收藏
页码：1966 / 1972
页数：7
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