Robust adaptive output-feedback control for nonlinear systems with output unmodeled dynamics

被引:51
作者
Wu, Zhaojing [1 ]
Xie, Xuejun [2 ]
Shi, Peng [3 ]
机构
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
[3] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
关键词
nonlinear systems; adaptive backstepping control; small gain; output unmodeled dynamics; inverse dynamics;
D O I
10.1002/rnc.1273
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, for a class of uncertain nonlinear systems in the presence of inverse dynamics, output unmodeled dynamics and nonlinear uncertainties, a robust adaptive output-feedback controller design is proposed by combining small-gain theorem, changing supply function techniques with backstepping methods. It is shown that all the signals of the closed-loop system are uniformly bounded in biased case, and the output can be regulated to a small neighborhood of the origin in unbiased case. Furthermore, under some additional assumptions, an asymptotical result is obtained. Copyright (C) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码:1162 / 1187
页数:26
相关论文
共 25 条
[1]  
[Anonymous], 2013, Nonlinear control systems
[2]  
Fradkov AL., 1999, NONLINEAR ADAPTIVE C, P183
[3]  
Han HG, 2005, INT J INNOV COMPUT I, V1, P727
[4]  
Ioannou PA., 1996, ROBUST ADAPTIVE CONT, V1
[5]   CLF based designs with robustness to dynamic input uncertainties [J].
Jankovic, M ;
Sepulchre, R ;
Kokotovic, PV .
SYSTEMS & CONTROL LETTERS, 1999, 37 (01) :45-54
[6]   A small-gain control method for nonlinear cascaded systems with dynamic uncertainties [J].
Jiang, ZP ;
Mareels, IMY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (03) :292-308
[7]   A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems [J].
Jiang, ZP ;
Mareels, IMY ;
Wang, Y .
AUTOMATICA, 1996, 32 (08) :1211-1215
[8]   A combined backstepping and small-gain approach to adaptive output feedback control [J].
Jiang, ZP .
AUTOMATICA, 1999, 35 (06) :1131-1139
[9]   SMALL-GAIN THEOREM FOR ISS SYSTEMS AND APPLICATIONS [J].
JIANG, ZP ;
TEEL, AR ;
PRALY, L .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (02) :95-120
[10]   A unifying framework for global regulation via nonlinear output feedback: From ISS to iISS [J].
Jiang, ZP ;
Mareels, I ;
Hill, DJ ;
Huang, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :549-562