Eigenvalue Analysis Based Control Scheme for Interconnected Autonomous Systems

被引:0
作者
Sharma, B. B. [1 ]
Kar, I. N. [2 ]
机构
[1] Natl Inst Technol, Dept Elect Engn, Hamirpur 177005, HP, India
[2] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India
来源
2011 IEEE REGION 10 CONFERENCE TENCON 2011 | 2011年
关键词
DECENTRALIZED ADAPTIVE-CONTROL; SCALE NONLINEAR-SYSTEMS; OUTPUT-FEEDBACK; CONTRACTION THEORY; DESIGN; STABILITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The paper proposes a simple decentralized control scheme to address stability problem of interconnected systems. Sufficient condition for stability of closed loop system is derived using contraction theory based analysis. Here, the conditions for stability are reflected in terms of bounds on strengths of interconnections. The uniform negative definiteness of associated Jacobian of the system in differential framework is ensured by identifying the location of eigenvalues using Gerschgorin theorem. Results are verified by considering an interconnected system with individual subsystems having interaction with their nearest neighbours.
引用
收藏
页码:1070 / 1074
页数:5
相关论文
共 24 条
[1]   Output feedback decentralized stabilization: ILMI approach [J].
Cao, YY ;
Sun, YX ;
Mao, WJ .
SYSTEMS & CONTROL LETTERS, 1998, 35 (03) :183-194
[2]   Decentralized formation control of mobile agents: A unified framework [J].
Chen, Fei ;
Chen, Zengqiang ;
Liu, Zhongxin ;
Xiang, Linying ;
Yuan, Zhuzhi .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (19-20) :4917-4926
[3]   Modeling and control of formations of nonholonomic mobile robots [J].
Desai, JP ;
Ostrowski, JP ;
Kumar, V .
IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 2001, 17 (06) :905-908
[4]  
Desai JP, 1998, IEEE INT CONF ROBOT, P2864, DOI 10.1109/ROBOT.1998.680621
[5]   Adaptive output-feedback decentralized control of a class of second order nonlinear systems using recurrent fuzzy neural networks [J].
Hernandez, Miguel ;
Tang, Yu .
NEUROCOMPUTING, 2009, 73 (1-3) :461-467
[6]   A fully adaptive decentralized control of robot manipulators [J].
Hsu, Su-Hau ;
Fu, Li-Chen .
AUTOMATICA, 2006, 42 (10) :1761-1767
[7]   Decentralized adaptive output feedback design for large-scale nonlinear systems [J].
Jain, S ;
Khorrami, F .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (05) :729-735
[8]   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
[9]   Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback [J].
Jiang, ZP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (11) :2122-2128
[10]   Decentralized disturbance attenuating output-feedback trackers for large-scale nonlinear systems [J].
Jiang, ZP .
AUTOMATICA, 2002, 38 (08) :1407-1415