Robust nonlinear multivariable tracking control design to a manipulator with unknown uncertainties using operator-based robust right coprime factorization

被引:34
作者
Wang, Aihui [1 ]
Deng, Mingcong [2 ]
机构
[1] Zhongyuan Univ Technol, Sch Elect & Informat Engn, Zhongyuan, Peoples R China
[2] Tokyo Univ Agr & Technol, Grad Sch Engn, Koganei, Tokyo 1848588, Japan
关键词
Manipulator; unknown uncertainties; robust right coprime factorization; nonlinear multivariable tracking control; exponential iteration theorem; ITERATIVE LEARNING CONTROL; ROBOT; SYSTEMS; PLANTS;
D O I
10.1177/0142331212470838
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 paper, an operator-based robust nonlinear multivariable tracking control for a manipulator with uncertainties is proposed by using a robust right coprime factorization approach. In general, there exist unknown modelling errors in measuring structural parameters of the manipulator and external disturbances in real situations. In the present control system design, the effect of the modelling errors and disturbance on system performance is considered to be uncertainties in the manipulator dynamics. Considering the uncertainties, an operator-based robust nonlinear multivariable tracking control using robust right coprime factorization is studied. That is, firstly a robustly stable control based on robust right coprime factorization is designed. Secondly, a robust nonlinear multivariable tracking system is proposed for improving the trajectory of the manipulator, and the output tracking performance is evaluated based on the exponential iteration theorem. Finally, the effectiveness of the designed system is confirmed by simulation results.
引用
收藏
页码:788 / 797
页数:10
相关论文
共 31 条
[1]   Reinforcement learning in a rule-based navigator for robotic manipulators [J].
Althoefer, K ;
Krekelberg, B ;
Husmeier, D ;
Seneviratne, L .
NEUROCOMPUTING, 2001, 37 :51-70
[2]  
[Anonymous], J CONTROL ENG APPL I
[3]   Torque minimisation of the 2-DOF serial manipulators based on minimum energy consideration and optimum mass redistribution [J].
Arakelian, Vigen ;
Le Baron, Jean-Paul ;
Mottu, Pauline .
MECHATRONICS, 2011, 21 (01) :310-314
[4]  
Ata AA, 2007, J ENG SCI TECHNOL, V2, P32
[5]   Stabilization of nonlinear systems based on a generalized Bezout identity [J].
Banos, A .
AUTOMATICA, 1996, 32 (04) :591-595
[6]   Operator-based output tracking control for non-linear uncertain systems with unknown time-varying delays [J].
Bi, S. ;
Deng, M. ;
Wen, S. .
IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (05) :693-699
[7]   Operator-based robust control design for nonlinear plants with perturbation [J].
Bi, Shuhui ;
Deng, Mingcong .
INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (04) :815-821
[8]   System Design for Nonlinear Plants Using Operator-Based Robust Right Coprime Factorization and Isomorphism [J].
Bu, Ni ;
Deng, Mingcong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (04) :952-957
[9]   Robust right coprime factorization and robust stabilization of nonlinear feedback control systems [J].
Chen, DR ;
Han, ZZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (10) :1505-1510
[10]   Further results on adaptive iterative learning control of robot manipulators [J].
Chien, Chiang-Ju ;
Tayebi, Abdelhamid .
AUTOMATICA, 2008, 44 (03) :830-837