Robust iterative learning control for a class of nonlinear systems

被引:119
作者
Xu, JX
Qu, ZH
机构
[1] Natl Univ Singapore, Dept Elect Engn, Singapore 119260, Singapore
[2] Univ Cent Florida, Dept Elect Engn, Orlando, FL 32826 USA
关键词
iterative learning control; robust nonlinear control; multi-input multi-output system;
D O I
10.1016/S0005-1098(98)00036-3
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A novel nonlinear control scheme-robust iterative learning control (RILC) is developed in this paper. The new robust ILC system provides a general framework targeting at synthesizing learning control and robust control methods with the help of Lyapunov's direct method, thereafter being able to handle more general classes of nonlinear uncertain systems. In the proposed control scheme, learning control and variable structure control are made to function in a complementary manner. The nonlinear learning control strategy is applied directly to the structured system uncertainties which can be separated and expressed as products of unknown state-independent functions and known state-dependent functions. For non-structured system uncertainties associated with known bounding functions as the only a priori knowledge, variable structure control(VSC) strategy is applied to ensure the global asymptotic stability. In addition, important issues regarding the objective trajectory categories, resetting condition, derivative signal requirement and their relationships have been made clear in this paper. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:983 / 988
页数:6
相关论文
共 5 条
[1]   BETTERING OPERATION OF ROBOTS BY LEARNING [J].
ARIMOTO, S ;
KAWAMURA, S ;
MIYAZAKI, F .
JOURNAL OF ROBOTIC SYSTEMS, 1984, 1 (02) :123-140
[2]   AN ITERATIVE LEARNING CONTROL METHOD WITH APPLICATION FOR THE ROBOT MANIPULATOR [J].
OH, SR ;
BIEN, ZN ;
SUH, IH .
IEEE JOURNAL OF ROBOTICS AND AUTOMATION, 1988, 4 (05) :508-514
[3]   A DISCRETE-TIME LEARNING CONTROL ALGORITHM FOR A CLASS OF LINEAR TIME-INVARIANT SYSTEMS [J].
SAAB, SS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (06) :1138-1142
[4]   VARIABLE STRUCTURE SYSTEMS WITH SLIDING MODES [J].
UTKIN, VI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (02) :212-222
[5]   Analysis of iterative learning control for a class of nonlinear discrete-time systems [J].
Xu, JX .
AUTOMATICA, 1997, 33 (10) :1905-1907