PRACTICAL STABILIZATION OF A CLASS OF NONLINEAR-SYSTEMS WITH PARTIALLY KNOWN UNCERTAINTIES

被引:47
作者
BROGLIATO, B [1 ]
NETO, AT [1 ]
机构
[1] UNIV FED SANTA CATARINA,DEPT ELECT ENGN,LCMI,BR-88049 FLORIANOPOLIS,SC,BRAZIL
关键词
UNCERTAIN SYSTEMS; UNKNOWN UNCERTAINTIES; PRACTICAL STABILIZATION;
D O I
10.1016/0005-1098(94)E0050-R
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 we deal with robust control of a class of nonlinear systems which contain uncertainties. It can be viewed as an extension of the work in Corless and Leitmann [IEEE Trans. Autom. Control, AC-26, 1139-1144 (1981)] for the cases where the vector of uncertainties is only partially known. To cope with the uncertainties, an adaptive controller using a dead-zone and a hysteresis function is proposed, and both the uniform boundedness of all the closed-loop signals and uniform ultimate boundedness of the system state are guaranteed. In contrast with some previous attempts to relax the a priori knowledge on the uncertainties bounds by using a discontinuous control law, we propose continuous control laws in this paper. Hence, chattering problems (which have practical importance) can be avoided.
引用
收藏
页码:145 / 150
页数:6
相关论文
共 36 条
[1]   ON ULTIMATE BOUNDEDNESS CONTROL OF UNCERTAIN SYSTEMS IN THE ABSENCE OF MATCHING ASSUMPTIONS [J].
BARMISH, BR ;
LEITMANN, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (01) :153-158
[2]   LINEAR ULTIMATE BOUNDEDNESS CONTROL OF UNCERTAIN DYNAMICAL-SYSTEMS [J].
BARMISH, BR ;
PETERSEN, IR ;
FEUER, A .
AUTOMATICA, 1983, 19 (05) :523-532
[3]  
Brogliato B., 1992, Proceedings of the 1992 American Control Conference (IEEE Cat. No.92CH3072-6), P2559
[4]   ROBUST ADAPTIVE-CONTROL OF A CLASS OF NONLINEAR 1ST ORDER SYSTEMS [J].
BROGLIATO, B ;
TROFINONETO, A ;
LOZANO, R .
AUTOMATICA, 1992, 28 (04) :795-801
[5]   ROBUSTNESS OF UNCERTAIN SYSTEMS IN THE ABSENCE OF MATCHING ASSUMPTIONS [J].
CHEN, YH ;
LEITMANN, G .
INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (05) :1527-1542
[6]   ADAPTIVE ROBUST-CONTROL OF UNCERTAIN SYSTEMS WITH MEASUREMENT NOISE [J].
CHEN, YH .
AUTOMATICA, 1992, 28 (04) :715-728
[7]   ADAPTIVE-CONTROL OF SYSTEMS CONTAINING UNCERTAIN FUNCTIONS AND UNKNOWN FUNCTIONS WITH UNCERTAIN BOUNDS [J].
CORLESS, M ;
LEITMANN, G .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1983, 41 (01) :155-168
[8]   CONTROL OF UNCERTAIN NONLINEAR-SYSTEMS [J].
CORLESS, M .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1993, 115 (2B) :362-372
[9]   CONTINUOUS STATE FEEDBACK GUARANTEEING UNIFORM ULTIMATE BOUNDEDNESS FOR UNCERTAIN DYNAMIC-SYSTEMS [J].
CORLESS, MJ ;
LEITMANN, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (05) :1139-1144
[10]   HYBRID ADAPTIVE ROBUST-CONTROL FOR A ROBOT MANIPULATOR [J].
DAWSON, DM ;
QU, Z ;
LEWIS, FL .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 1992, 6 (06) :537-545