Stability of Robot Manipulators Under Saturated PID Compensation

被引:60
作者
Alvarez-Ramirez, Jose [1 ]
Santibanez, Victor [2 ]
Campa, Ricardo [2 ]
机构
[1] Univ Autonoma Metropolitana Iztapalapa, Div Ciencias Basicas & Ingn, Mexico City 09340, DF, Mexico
[2] Inst Tecnol Laguna, Torreon 27001, Coahuila, Mexico
关键词
Bounded inputs; proportional-integral differential (PID) regulator; robot control; saturation functions; stability analysis;
D O I
10.1109/TCST.2008.917875
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 joint position regulation problem for robot manipulators under a standard saturated proportional-integral differential (PID) compensator is studied in this brief. The main result states the existence of PID control gains yielding semiglobal asymptotic stability if the control torque bounds are larger than gravitational torques. Energy shaping plus damping injection methods, as well as singular perturbation analysis, are used to establish stability conditions to achieve regulation at any desired position. Some experiments are carried out to illustrate the stability results.
引用
收藏
页码:1333 / 1341
页数:9
相关论文
共 25 条
[1]   Semiglobal stability of saturated linear PID control for robot manipulators [J].
Alvarez-Ramirez, J ;
Kelly, R ;
Cervantes, I .
AUTOMATICA, 2003, 39 (06) :989-995
[2]   FUNDAMENTAL PROBLEMS OF ROBOT CONTROL .1. INNOVATIONS IN THE REALM OF ROBOT SERVO-LOOPS [J].
ARIMOTO, S .
ROBOTICA, 1995, 13 :19-27
[3]  
Arimoto S., 1990, P INT C AUT ROB COMP, P382
[4]  
Arimoto S, 1996, CONTROL THEORY NONLI
[5]  
ARIMOTO S, 1983, P 1 INT S ROB RES, P783
[6]  
Burkov I. V., 1995, P 2 RUSS SWED CONTR, P37
[7]   PID control of robotic manipulator with uncertain Jacobian matrix [J].
Cheah, CC ;
Kawamura, S ;
Arimoto, S ;
Lee, K .
ICRA '99: IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-4, PROCEEDINGS, 1999, :494-499
[8]  
Colbaugh R, 1997, IEEE INT CONF ROBOT, P1148, DOI 10.1109/ROBOT.1997.614293
[9]   Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics [J].
Dixon, W. E. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (03) :488-493
[10]   Tracking control of robot manipulators with bounded torque inputs [J].
Dixon, WE ;
de Queiroz, MS ;
Zhang, F ;
Dawson, DM .
ROBOTICA, 1999, 17 :121-129