Distributed PID Control for Consensus of Homogeneous and Heterogeneous Networks

Author

Lombana, Daniel Alberto Burbano ; di Bernardo, Mario

Author_Institution

Dept. of Electr. Eng. & Inf. Technol., Univ. of Naples Federico II, Naples, Italy

Volume

2

Issue

2

fYear

2015

fDate

Jun-15

Firstpage

154

Lastpage

163

Abstract

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.

Keywords

Lyapunov methods; convergence; distributed control; linear systems; three-term control; Lyapunov functions; convergence; distributed PID control; distributed proportional-integral-derivative actions; heterogeneous linear system network consensus; homogeneous linear system network consensus; power-grid model; state transformations; Control systems; Convergence; Couplings; Laplace equations; Power system dynamics; Symmetric matrices; Vectors; Consensus algorithms; multi-agent systems; network control systems; proportional-integral-derivative (PID) control;

fLanguage

English

Journal_Title

Control of Network Systems, IEEE Transactions on

Publisher

ieee

ISSN

2325-5870

Type

jour

DOI

10.1109/TCNS.2014.2378914

Filename

6979204