Global decentralized robust stabilization for interconnected uncertain nonlinear systems with multiple inputs

被引:22
作者
Liu, XP [1 ]
Huang, GS [1 ]
机构
[1] Northeastern Univ, Dept Automat Control, Shenyang 110006, Peoples R China
基金
中国国家自然科学基金;
关键词
large-scale systems; nonlinear systems; global stability; Lyapunov function; decentralized control; robust control;
D O I
10.1016/S0005-1098(01)00086-3
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of global decentralized robust stabilization for a class of large-scale interconnected nonlinear systems with parameter uncertainties is investigated. Subsystems are assumed to be in a nested structure with multiple inputs. Interconnections are bounded by higher-order polynomials in the decentralized strict feedback form. Decentralized robust controllers are constructed by a Lyapunov-based recursive design technique, backstepping with the aid of augmentation, so that the corresponding closed-loop system is globally asymptotically stable for all possible uncertain parameters and interconnections, (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1435 / 1442
页数:8
相关论文
共 15 条
[1]   ROBUST-CONTROL DESIGN FOR INTERCONNECTED SYSTEMS WITH TIME-VARYING UNCERTAINTIES [J].
CHEN, YH ;
LEITMANN, G ;
XIONG, ZK .
INTERNATIONAL JOURNAL OF CONTROL, 1991, 54 (05) :1119-1142
[2]  
Freeman R.A., 1992, P IFAC NONL CONTR SY, P307
[3]   DECENTRALIZED ADAPTIVE-CONTROL - STRUCTURAL CONDITIONS FOR STABILITY [J].
GAVEL, DT ;
SILJAK, DD .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :413-426
[4]   Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems [J].
Guo, Y ;
Jiang, ZP ;
Hill, DJ .
SYSTEMS & CONTROL LETTERS, 1999, 37 (02) :71-85
[5]   Decentralized adaptive control of a class of large-scale interconnected nonlinear systems [J].
Jain, S ;
Khorrami, F .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (02) :136-154
[6]   SYSTEMATIC DESIGN OF ADAPTIVE CONTROLLERS FOR FEEDBACK LINEARIZABLE SYSTEMS [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1241-1253
[7]   Robust stabilization of MIMO nonlinear systems by backstepping [J].
Liu, XP ;
Gu, GX ;
Zhou, KM .
AUTOMATICA, 1999, 35 (05) :987-992
[8]  
LIU XP, 1999, 14 IFAC WORLD C BEIJ, P411
[9]   DECENTRALIZED ADAPTIVE CONTROLLER-DESIGN FOR LARGE-SCALE SYSTEMS WITH HIGHER-ORDER INTERCONNECTIONS [J].
SHI, L ;
SINGH, SK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (08) :1106-1118
[10]   DECENTRALIZED CONTROL FOR INTERCONNECTED UNCERTAIN SYSTEMS - EXTENSIONS TO HIGHER-ORDER UNCERTAINTIES [J].
SHI, L ;
SINGH, SK .
INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (06) :1453-1468