Updating the gain of global finite-time high gain observers

被引：0

作者：

Burlion, Laurent ^{[1
]}

Ahmed-Ali, Tarek ^{[2
]}

Lamnabhi-Lagarrigue, Francoise ^{[3
]}

机构：

[1] Off Natl Etud & Rech Aerosp, French Aerosp Lab, F-31055 Toulouse, France

[2] Univ Caen, UMR CNRS 6072, GREYC, F-14032 Caen, France

[3] L2S CNRS, Supe elec, F-91192 Gif Sur Yvette, France

来源：

2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年

关键词：

NONLINEAR-SYSTEMS; OUTPUT-FEEDBACK; STABILIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, new results about semi-global and global finite-time observation have been obtained by the use of continuous high gain observers. In this paper, we propose to extend these results by studying "time-varying high gain" observers and by providing new update laws : first, we adapt the law introduced by L. Praly in the case of asymptotic observation to the finite-time case and we prove that the updated high gain remains bounded. Secondly, we propose a new update law which guarantees the high gain's value tends asymptotically to 1.

引用

页码：8145 / 8150

页数：6

共 19 条

[1] Sliding observer-controller design for uncertain triangular nonlinear systems
Ahmed-Ali, T
Lamnabhi-Lagarrigue, F
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (06) : 1244 - 1249
[2] [Anonymous], 2001, IEEE T AUTOMATIC CON
[3] Finite-time stability of continuous autonomous systems
Bhat, SP
Bernstein, DS
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) : 751 - 766
[4] Geometric homogeneity with applications to finite-time stability
Bhat, SP
Bernstein, DS
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (02) : 101 - 127
[5] Second-order sliding-mode observer for mechanical systems
Davila, J
Fridman, L
Levant, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1785 - 1789
[6] Drakunov S. V., 1992, P 31 C DEC CONTR TUC
[7] Drakunov S. V., 1995, P 34 C DEC CONTR NEW
[8] A SIMPLE OBSERVER FOR NONLINEAR-SYSTEMS APPLICATIONS TO BIOREACTORS
GAUTHIER, JP
HAMMOURI, H
OTHMAN, S
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) : 875 - 880
[9] On an output feedback finite-time stabilization problem
Hong, YR
Huang, J
Xu, YS
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (02) : 305 - 309
[10] Global finite-time stabilization of a class of uncertain nonlinear systems
Huang, XQ
Lin, W
Yang, B
[J]. AUTOMATICA, 2005, 41 (05) : 881 - 888

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