High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs

被引:52
作者
Rios, Hector [2 ]
Davila, Jorge [1 ]
Fridman, Leonid [3 ]
机构
[1] IPN, Natl Polytech Inst, Sect Grad Studies & Res, ESIME UPT, Mexico City 07340, DF, Mexico
[2] Univ Nacl Autonoma Mexico, UNAM, Engn Dept Control & Robot, Fac Engn,Div Elect Engn, Mexico City 04510, DF, Mexico
[3] IPN, CINVESTAV, Dept Automat Control, Mexico City 07340, DF, Mexico
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 10期
关键词
LINEAR-SYSTEMS; HYBRID; OBSERVABILITY; STATE;
D O I
10.1016/j.jfranklin.2012.07.003
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 state observation and unknown input identification problems are studied for a class of nonlinear autonomous switched systems. A bank of observers are designed using the high-order sliding mode techniques. The robustness of the high-order sliding mode observers is exploited to provide exact reconstruction of the continuous state and the discrete state even in the presence of unknown inputs. The value of the equivalent injection is used for identification of unknown inputs. Simulation results support the proposed method. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:2975 / 3002
页数:28
相关论文
共 33 条
[1]  
Alessandri A, 2003, P AMER CONTR CONF, P2785
[2]   Fault tolerant control using sliding modes with on-line control allocation [J].
Alwi, Halim ;
Edwards, Christopher .
AUTOMATICA, 2008, 44 (07) :1859-1866
[3]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[4]   Nonlinear observer for autonomous switching systems with jumps [J].
Barbot, J. P. ;
Saadaoui, H. ;
Djemai, M. ;
Manamanni, N. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2007, 1 (04) :537-547
[5]   Chattering elimination in the hybrid control of constrained manipulators via first second order sliding mode control [J].
Bartolini, G ;
Ferrara, A ;
Punta, E ;
Usai, E .
DYNAMICS AND CONTROL, 1999, 9 (02) :99-124
[6]   Finite-time converging jump observer for switched linear systems with unknown inputs [J].
Bejarano, F. J. ;
Pisano, A. ;
Usai, E. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (02) :174-188
[7]   Observability and controllability of piecewise affine and hybrid systems [J].
Bemporad, A ;
Ferrari-Trecate, G ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876
[8]   Hybrid adaptive observers for locally Lipschitz systems with application to mechanical oscillators [J].
Bobtsov, Alexey A. ;
Efimov, Denis V. ;
Pyrkin, Anton .
2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3, 2009, :619-+
[9]   Observability of switching structured linear systems with unknown input. A graph-theoretic approach [J].
Boukhobza, T. ;
Hamelin, F. .
AUTOMATICA, 2011, 47 (02) :395-402
[10]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482