A new variable structure PID-controller design for robot manipulators

被引:118
作者
Jafarov, EM [1 ]
Parlakçi, MNA
Istefanopulos, Y
机构
[1] Istanbul Tech Univ, Dept Aeronaut & Astronaut Engn, TR-80626 Istanbul, Turkey
[2] Istanbul Bilgi Univ, Dept Comp Sci, TR-34440 Istanbul, Turkey
[3] Bogazici Univ, Dept Elect & Elect Engn, TR-80815 Bebek, Istanbul, Turkey
关键词
Lyapunov full quadratic form; robot tracking control; sliding mode; variable structure PID controller;
D O I
10.1109/TCST.2004.838558
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this brief, a new variable structure proportional-integral-derivative (PID) controller design approach is considered for the tracking stabilization of robot motion. The work corroborates the utility of a certain PID sliding mode controller with PID sliding surface for tracking control of a robotic manipulator. Different from the general approach, the conventional equivalent control term is not used in this controller because that needs to use the matching conditions and exact full robot dynamics knowledge, which involves unavailable parameter uncertainties. Though the sliding surface includes also the integral error term, which makes the robot tracking control problem complicated, the existence of a sliding mode and gain selection guideline are clearly investigated. Moreover, different from uniformly ultimately boundedness, the global asymptotic stability of the robot system with proposed controller is analyzed. The sliding and global stability conditions are formulated in terms of Lyapunov full quadratic form and upper and lower matrix norm inequalities. Reduced design is also discussed. The proposed control algorithm is applied to a two-link direct drive robot arm through simulations. The simulation results indicate that the control performance of the robot system is satisfactory. The chattering phenomenon is handled by the use of a saturation function replaced with a pure signum function in the control law. The saturation function results in a smooth transient performance. The proposed approach is compared with the existing alternative sliding mode controllers for robot manipulators in terms of advantages and control performances. A comparative analysis with a plenty of simulation results soundly confirmed that the performance of developed variable structure PID controller is better under than those of both classical PID controller and an existing variable structure controller with PID-sliding surface.
引用
收藏
页码:122 / 130
页数:9
相关论文
共 16 条
[1]  
Abdallah C., 1991, IEEE Control Systems Magazine, V11, P24, DOI 10.1109/37.67672
[2]   SIMPLE SLIDING MODE CONTROL SCHEME APPLIED TO ROBOT MANIPULATORS [J].
BAILEY, E ;
ARAPOSTATHIS, A .
INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (04) :1197-1209
[3]   INTEGRAL VARIABLE STRUCTURE CONTROL APPROACH FOR ROBOT MANIPULATORS [J].
CHERN, TL ;
WU, YC .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1992, 139 (02) :161-166
[4]   DESIGN OF INTEGRAL VARIABLE STRUCTURE CONTROLLER AND APPLICATION TO ELECTROHYDRAULIC VELOCITY SERVOSYSTEMS [J].
CHERN, TL ;
WU, YC .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1991, 138 (05) :439-444
[5]   A study on robustness property of sliding-mode controllers: A novel design and experimental investigations [J].
Erbatur, K ;
Kaynak, MO ;
Sabanovic, A .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1999, 46 (05) :1012-1018
[6]   A globally stabilizing hybrid variable structure control strategy [J].
Ferrara, A ;
Magnani, L ;
Scattolini, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) :1334-1337
[7]   VARIABLE STRUCTURE CONTROL - A SURVEY [J].
HUNG, JY ;
GAO, WB ;
HUNG, JC .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1993, 40 (01) :2-22
[8]   Sliding-mode motion/force control of constrained robots [J].
Lian, KY ;
Lin, CR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (08) :1101-1103
[9]   Chattering-free sliding mode control for a class of nonlinear mechanical systems [J].
Parra-Vega, V ;
Hirzinger, G .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (12) :1161-1178
[10]   Robust control of robot manipulators: a survey [J].
Sage, HG ;
De Mathelin, MF ;
Ostertag, E .
INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (16) :1498-1522