Distributed PID Control for Consensus of Homogeneous and Heterogeneous Networks

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 effectivenes...

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Bibliographic Details
Published in:IEEE transactions on control of network systems 2015-06, Vol.2 (2), p.154-163
Main Authors: Lombana, Daniel Alberto Burbano, di Bernardo, Mario
Format: Article
Language:English
Subjects:
Control systems
Convergence
Couplings
Laplace equations
Power system dynamics
Symmetric matrices
Vectors
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Summary: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.
ISSN:2325-5870
2325-5870
2372-2533
DOI:10.1109/TCNS.2014.2378914