On functional observers for linear systems with unknown inputs and HOSM differentiators

被引：12

作者：

Tulio Angulo, Marco ^{[1
]}

Moreno, Jaime A. ^{[3
]}

Fridman, Leonid ^{[2
]}

机构：

[1] UAQ, Fac Ingn, Mexico City, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Dept Ingn Control & Robot, Mexico City, DF, Mexico

[3] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City, DF, Mexico

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 04期

关键词：

SLIDING MODE OBSERVERS; DESIGN;

D O I：

10.1016/j.jfranklin.2013.12.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of constructing functional observers for linear systems with unknown inputs is considered. Necessary and sufficient conditions for the existence of a proper observer (without differentiations) are revisited. A simple and explicit form of a functional observer is presented. It is shown that when such observer is not proper, it is still possible to use the High-Order Sliding Mode differentiator to implement it. Nevertheless, in such case, additional conditions on the system and the unknown input are required. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1982 / 1994

页数：13

共 22 条

[1] Basile G, 1992, Controlled and conditioned invariants in linear system theory
[2] High order sliding mode observer for linear systems with unbounded unknown inputs
Bejarano, Francisco J.
Fridman, Leonid
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (09) : 1920 - 1929
[3] Edwards C, 2002, LECT NOTES CONTR INF, V274, P253
[4] Edwards C, 2008, LECT NOTES CONTR INF, V375, P137, DOI 10.1007/978-3-540-79016-7_7
[5] Design of reduced-order state/unknown input observers based on a descriptor system approach
Fernando, T.
Trinh, H.
[J]. ASIAN JOURNAL OF CONTROL, 2007, 9 (04) : 458 - 465
[6] On sliding mode observers for systems with unknown inputs
Floquet, T.
Edwards, C.
Spurgeon, S. K.
[J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2007, 21 (8-9) : 638 - 656
[7] Observation of linear systems with unknown inputs via high-order sliding-modes
Fridman, Leonid
Levant, Arie
Davila, Jorge
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (10) : 773 - 791
[8] STRONG DETECTABILITY AND OBSERVERS
HAUTUS, MLJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 50 (APR) : 353 - 368
[9] Kolmogoroff A. N, 1962, AM MATH ASS TRANSL, V1, P233
[10] Higher-order sliding modes, differentiation and output-feedback control
Levant, A
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (9-10) : 924 - 941

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