Distributed PID Control for Consensus of Homogeneous and Heterogeneous Networks

被引:85
作者
Lombana, Daniel Alberto Burbano [1 ]
di Bernardo, Mario [1 ,2 ]
机构
[1] Univ Naples Federico II, Dept Elect Engn & Informat Technol, I-80125 Naples, Italy
[2] Univ Bristol, Dept Engn Math, Bristol BS8 1UB, Avon, England
来源
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2015年 / 2卷 / 02期
关键词
Consensus algorithms; multi-agent systems; network control systems; proportional-integral-derivative (PID) control;
D O I
10.1109/TCNS.2014.2378914
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate the use of distributed proportional-integral-derivative (PID) actions to achieve consensus in networks of homogeneous and heterogeneous linear systems. Convergence of the strategy is proved for both cases using appropriate state transformations and Lyapunov functions. The effectiveness of the theoretical results is illustrated via its application to a representative power-grid model recently presented in the literature.
引用
收藏
页码:154 / 163
页数:10
相关论文
共 35 条
[1]  
Andreasson M, 2012, IEEE DECIS CONTR P, P2077, DOI 10.1109/CDC.2012.6426463
[2]   Interconnected Dynamic Systems AN OVERVIEW ON DISTRIBUTED CONTROL [J].
Antonelli, Gianluca .
IEEE CONTROL SYSTEMS MAGAZINE, 2013, 33 (01) :76-88
[3]  
Bernstein D, 2009, MATRIX MATH THEORY F, P159
[4]  
Carli R, 2011, IEEE DECIS CONTR P, P7512, DOI 10.1109/CDC.2011.6161101
[5]   All Aboard the Robotic Road Train [J].
Coelingh, Erik ;
Solyom, Stefan .
IEEE SPECTRUM, 2012, 49 (11) :34-39
[6]   Synchronization in complex oscillator networks and smart grids [J].
Doerfler, Florian ;
Chertkov, Michael ;
Bullo, Francesco .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2013, 110 (06) :2005-2010
[7]   SYNCHRONIZATION AND TRANSIENT STABILITY IN POWER NETWORKS AND NONUNIFORM KURAMOTO OSCILLATORS [J].
Doerfler, Florian ;
Bullo, Francesco .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (03) :1616-1642
[8]   Information flow and cooperative control of vehicle formations [J].
Fax, JA ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476
[9]  
Fradkov AL, 2011, IEEE DECIS CONTR P, P1110, DOI 10.1109/CDC.2011.6161112
[10]  
Freeman RA, 2006, IEEE DECIS CONTR P, P339