LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems

被引:5
作者
Arezki, H. [1 ,3 ]
Bouhadjra, D. [2 ]
Chaib-Draa, K. [3 ]
Zemouche, A. [2 ]
N'doye, A. [4 ]
Laleg-Kirati, T. M. [4 ]
机构
[1] Univ Mouloud Mammeri Tizi Ouzou, Tizi Ouzou, Algeria
[2] Univ Lorraine, CRAN CNRS UMR 7039, F-54400 Cosnes Et Romain, France
[3] Univ Luxembourg, Belval, Luxembourg
[4] King Abdullah Univ Sci & Technol KAUST, Thuwal, Saudi Arabia
来源
2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2021年
关键词
Observers design; Lipschitz systems; LMIs; STATE;
D O I
10.1109/CDC45484.2021.9683758
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 observer design for a class of nonlinear Lipschitz systems via Linear Matrix Inequalities (LMIs) based approach. Using some mathematical matrix decompositions, general LMI conditions ensuring the exponential convergence of the estimation error are provided. Thanks to linear and/or nonlinear transformations, these LMIs are enhanced from feasibility viewpoint.
引用
收藏
页码:6151 / 6155
页数:5
相关论文
共 25 条
[1]   State and Parameter Estimation: A Nonlinear Luenberger Observer Approach [J].
Afri, Chouaib ;
Andrieu, Vincent ;
Bako, Laurent ;
Dufour, Pascal .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (02) :973-980
[2]   Observer-based control of systems with slope-restricted nonlinearities [J].
Arcak, M ;
Kokotovic, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1146-1150
[3]   Observers for Takagi-Sugeno fuzzy systems [J].
Bergsten, P ;
Palm, R ;
Driankov, D .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2002, 32 (01) :114-121
[4]  
BORNARD G, 1991, PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, P1494, DOI 10.1109/CDC.1991.261650
[5]   A LUENBERGER-LIKE OBSERVER FOR NONLINEAR-SYSTEMS [J].
CICCARELLA, G ;
DALLAMORA, M ;
GERMANI, A .
INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (03) :537-556
[6]   Observer-based controller for Lipschitz nonlinear systems [J].
Ekramian, Mohsen .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (16) :3411-3418
[7]   A SIMPLE OBSERVER FOR NONLINEAR-SYSTEMS APPLICATIONS TO BIOREACTORS [J].
GAUTHIER, JP ;
HAMMOURI, H ;
OTHMAN, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) :875-880
[8]   A New Observer for Nonlinear Systems With Application to Power Systems [J].
Hassan, Mohamed F. ;
Hammuda, Mohammad .
IEEE ACCESS, 2019, 7 :100795-100812
[9]   Adaptive observers for time-delay nonlinear systems in triangular form [J].
Ibrir, Salim .
AUTOMATICA, 2009, 45 (10) :2392-2399
[10]   State estimation of Takagi-Sugeno systems with unmeasurable premise variables [J].
Ichalal, D. ;
Marx, B. ;
Ragot, J. ;
Maquin, D. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (05) :897-908