Time-varying increasing-gain observers for nonlinear systems

被引:36
作者
Alessandri, Angelo [1 ]
Rossi, Anna [1 ]
机构
[1] Univ Genoa, Dept Mech Engn, I-16129 Genoa, Italy
关键词
Nonlinear observer; High-gain observer; Lyapunov stability; LIPSCHITZ; DESIGN;
D O I
10.1016/j.automatica.2013.05.026
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A full-order state observer for a class of nonlinear continuous-time systems is presented as generalization of the high-gain observer for having a time-varying gain that is let to be small in the first time instants, increases over time up to its maximum, and then is kept constant. The global stability of the resulting estimation error is proved by means of a Lyapunov functional via a change of coordinate. The design of such an observer is obtained by solving a nonlinear programming problem and using series expansions to set the time-varying gain. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2845 / 2852
页数:8
相关论文
共 17 条
[1]   A generalized framework for robust nonlinear H∞ filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties [J].
Abbaszadeh, Masoud ;
Marquez, Horacio J. .
AUTOMATICA, 2012, 48 (05) :894-900
[2]   High-gain observers in the presence of measurement noise: A switched-gain approach [J].
Ahrens, Jeffrey H. ;
Khalil, Hassan K. .
AUTOMATICA, 2009, 45 (04) :936-943
[3]   High gain observers with updated gain and homogeneous correction terms [J].
Andrieu, V. ;
Praly, L. ;
Astolfi, A. .
AUTOMATICA, 2009, 45 (02) :422-428
[4]   Nonlinear observers: a circle criterion design and robustness analysis [J].
Arcak, M ;
Kokotovic, P .
AUTOMATICA, 2001, 37 (12) :1923-1930
[5]   An adaptive high-gain observer for nonlinear systems [J].
Boizot, Nicolas ;
Busvelle, Eric ;
Gauthier, Jean-Paul .
AUTOMATICA, 2010, 46 (09) :1483-1488
[6]   Time-varying high-gain observers for numerical differentiation [J].
Chitour, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (09) :1565-1569
[7]  
Coleman T., 1999, OPTIMIZATION TOOLBOX, Vthird
[8]  
Gahinet P, 1985, LMI control toolbox for use with matlab
[9]  
Gauthier JP., 2001, DETERMINISTIC OBSERV
[10]   Adaptive observers for time-delay nonlinear systems in triangular form [J].
Ibrir, Salim .
AUTOMATICA, 2009, 45 (10) :2392-2399