Observer and global output feedback stabilisation for some mechanical systems

被引:8
作者
Ammar, Sabeur [3 ]
Mabrouk, Mohamed [4 ]
Vivalda, Jean Claude [1 ,2 ]
机构
[1] Univ Metz Ile Saulcy, Inria Lorraine Projet CORIDA, Metz, France
[2] Univ Metz Ile Saulcy, LMAM, UMR 7122, Metz, France
[3] Inst Super Informat & Multimedia Sfax, Sfax, Tunisia
[4] Fac Sci Gabes, Dept Math, Gabes, Tunisia
关键词
Euler-Lagrange systems; overhead crane; non-linear observer; output feedback stabilisation; global asymptotic stabilisation; two-link manipulator; NONLINEAR-SYSTEMS; TRACKING;
D O I
10.1080/00207170802452104
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 objective of the work is two-fold. A first part is devoted to the problem of constructing an observer to the practical system called overhead crane with the position as output. In a second part, the problem of global output feedback stabilisation is solved for a class of Euler-Lagrange systems when the variables of velocity are the unmeasured part of the state. The equations of these systems are non-linear with respect to the velocities. A new output feedback control scheme is proposed. It relies on the determination of a change of coordinates which gives to the systems a triangular form. To illustrate the approach, it is applied to a two-link manipulator.
引用
收藏
页码:1070 / 1081
页数:12
相关论文
共 22 条
[1]   Input-to-state stability of PD-controlled robotic systems [J].
Angeli, D .
AUTOMATICA, 1999, 35 (07) :1285-1290
[2]  
BEDROSSIAN NS, 1992, PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P80, DOI 10.1109/CDC.1992.371786
[3]   Global output feedback tracking control for a class of Lagrangian systems [J].
Besançon, G .
AUTOMATICA, 2000, 36 (12) :1915-1921
[4]   A new separation result for a class of quadratic-like systems with application to Euler-Lagrange models [J].
Besançon, G ;
Battilotti, S ;
Lanari, L .
AUTOMATICA, 2003, 39 (06) :1085-1093
[5]  
CHOROT T, 1991, P 30 IEEE C DEC CONT, V1, P148
[6]   OUTPUT-FEEDBACK STABILIZATION OF FULLY LINEARIZABLE SYSTEMS [J].
ESFANDIARI, F ;
KHALIL, HK .
INTERNATIONAL JOURNAL OF CONTROL, 1992, 56 (05) :1007-1037
[7]   Output Feedback Global Stabilization for a Class of Nonlinear Systems with Unmodelled Dynamics [J].
Jiang, Zhong-Ping ;
Mareels, Iven M. Y. ;
Pomet, Jean-Baptiste .
EUROPEAN JOURNAL OF CONTROL, 1996, 2 (03) :201-210
[8]   Global output-feedback tracking for a benchmark nonlinear system [J].
Jiang, ZP ;
Kanellakopoulos, I .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (05) :1023-1027
[9]  
Laila D.S., 2006, Symp. on Mathematical theory, P715
[10]   Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications [J].
Laila, DS ;
Nesic, D .
AUTOMATICA, 2003, 39 (05) :821-835