Abstract
A distributed proportional-integral multilayer strategy is proposed, to achieve consensus in networks of heterogeneous first-order linear systems. The closed-loop network can be seen as an instance of so-called multiplex networks currently studied in network science. The strategy is able to guarantee consensus, even in the presence of constant disturbances and heterogeneous node dynamics. Contrary to previous approaches in the literature, the proportional and integral actions are deployed here on two different layers across the network, each with its own topology. Explicit expressions for the consensus values are obtained together with sufficient conditions guaranteeing convergence. The effectiveness of the theoretical results are illustrated via numerical simulations using a power network example.
| Original language | English |
|---|---|
| Title of host publication | 54th IEEE Conference on Decision and Control (CDC) |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| Number of pages | 6 |
| ISBN (Electronic) | 9781479978861, 9781479978847, 9781479978854 |
| DOIs | |
| Publication status | Published - 11 Feb 2016 |
Research Groups and Themes
- Engineering Mathematics Research Group
Keywords
- Multiplexing
- Laplace equations
- Decentralised control
- Nonhomogeneous media
- Power system dynamics
- Convergence
- Eigenvalues and eigenfunctions