On the strong observability in linear time-varying singular systems

被引：8

作者：

Hernandez, Debbie ^{[1
]}

Javier Bejarano, Francisco ^{[2
]}

Davila, Jorge ^{[2
]}

Fridman, Leonid M. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Dept Ingn Control & Robot, Div Ingn Elect, Fac Ingn, Mexico City, DF, Mexico

[2] UPT, Inst Politecn Nacl, Secc Estudios Posgrad & Invest, ESIME, Mexico City, DF, Mexico

来源：

AUTOMATICA | 2019年 / 101卷

关键词：

Robust estimation; Observability; Descriptor systems; Singular systems; Sliding mode; SLIDING-MODE OBSERVER; VALUE DECOMPOSITION; CONTROLLABILITY; DETECTABILITY; DESIGN;

D O I：

10.1016/j.automatica.2018.11.052

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 article the strong observability conditions, necessary and sufficient conditions originally stated for the state reconstruction of linear systems with unknown inputs, are extended to the class of linear time varying singular systems. This novel local (in a time interval of interest) conditions are given under a constant rank assumption. A method to reconstruct the state in finite time in linear time-varying singular systems despite the presence of unknown inputs is presented. The proposed observer consists of two parts, one part that ensures the asymptotic convergence of the estimation errors to a bounded region around the origin and another one that ensures the finite-time convergence of the state estimates to their actual values. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：60 / 65

页数：6

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