Some applications of small gain theorem to interconnected systems

被引:31
作者
Duan, ZS [1 ]
Huang, L [1 ]
Wang, L [1 ]
Wang, JZ [1 ]
机构
[1] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
interconnected systems; small gain theorem; decentralized control; linear matrix inequality;
D O I
10.1016/j.sysconle.2004.02.004
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Based on small gain theorem, decentralized control of interconnected systems is studied. Linear matrix inequality conditions are given for stabilizability of interconnected systems. Interconnections can be used to improve system robustness in the sense of small gain theorem. An example is given to illustrate the results. Finally, interconnected systems composed of symmetric subsystems are studied. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:263 / 273
页数:11
相关论文
共 19 条
[1]   DECENTRALIZED STABILIZATION AND CONTROL OF A CLASS OF UNKNOWN NONLINEAR TIME-VARYING SYSTEMS [J].
DAVISON, EJ .
AUTOMATICA, 1974, 10 (03) :309-316
[2]  
DAVISON EJ, 1983, AUTOMATICA, V19, P182
[3]  
ElKashlan A, 1996, AUTOMATICA, V32, P475, DOI 10.1016/0005-1098(95)00160-3
[4]   Explicit controller formulas for LMI-based H-infinity synthesis [J].
Gahinet, P .
AUTOMATICA, 1996, 32 (07) :1007-1014
[5]  
Gahinet P., 1995, LMI Control Toolbox
[6]   STATE-SPACE FORMULAS FOR ALL STABILIZING CONTROLLERS THAT SATISFY AN H INFINITY-NORM BOUND AND RELATIONS TO RISK SENSITIVITY [J].
GLOVER, K ;
DOYLE, JC .
SYSTEMS & CONTROL LETTERS, 1988, 11 (03) :167-172
[7]  
Green M., 2012, Linear Robust Control
[8]  
HUANG SD, 1996, AUTOMATICA, V34, P929
[9]   OPTIMALITY OF DECENTRALIZED CONTROL FOR LARGE-SCALE SYSTEMS [J].
IKEDA, M ;
SILJAK, DD ;
YASUDA, K .
AUTOMATICA, 1983, 19 (03) :309-316
[10]   ALL CONTROLLERS FOR THE GENERAL H-INFINITY CONTROL PROBLEM - LMI EXISTENCE CONDITIONS AND STATE-SPACE FORMULAS [J].
IWASAKI, T ;
SKELTON, RE .
AUTOMATICA, 1994, 30 (08) :1307-1317