Feedback linearization and stabilization of second-order non-holonomic chained systems

被引:25
作者
Ge, SS [1 ]
Sun, ZD
Lee, TH
Spong, MW
机构
[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
[2] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
关键词
D O I
10.1080/00207170110067062
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 presents a theoretical framework for non-regular feedback linearization and stabilization of second-order non-holonomic chained systems. By giving a new criterion for the problem of non-smooth non-regular feedback linearization, it is proved that second-order chained systems are non-regular static state feedback linearizable. A discontinuous control law is obtained based on linear system theory and the inversion technique. The design mechanism is generalized to higher-order non-holonomic chained systems. Simulation studies are carried out to show the effectiveness of the approach.
引用
收藏
页码:1383 / 1392
页数:10
相关论文
共 25 条
[1]  
Arai H, 1997, IEEE INT CONF ROBOT, P703, DOI 10.1109/ROBOT.1997.620118
[2]   Discontinuous control of nonholonomic systems [J].
Astolfi, A .
SYSTEMS & CONTROL LETTERS, 1996, 27 (01) :37-45
[3]   Continuous finite-time stabilization of the translational and rotational double integrators [J].
Bhat, SP ;
Bernstein, DS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682
[4]   ON DYNAMIC FEEDBACK LINEARIZATION [J].
CHARLET, B ;
LEVINE, J ;
MARINO, R .
SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :143-151
[5]   A new approach to dynamic feedback linearization control of an induction motor [J].
Chiasson, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (03) :391-397
[6]   Steering a class of redundant mechanisms through end-effector generalized forces [J].
De Luca, A ;
Mattone, R ;
Oriolo, G .
IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 1998, 14 (02) :329-335
[7]  
DeLuca A, 1996, IEEE INT CONF ROBOT, P1760, DOI 10.1109/ROBOT.1996.506967
[8]  
DEWIT CC, 1996, THEORY ROBOT CONTROL
[9]  
EGELAND O, 1994, IFAC C ROB CONTR CAP, P845
[10]   DEVELOPMENTS IN NONHOLONOMIC CONTROL-PROBLEMS [J].
KOLMANOVSKY, I ;
MCCLAMROCH, NH .
IEEE CONTROL SYSTEMS MAGAZINE, 1995, 15 (06) :20-36