Performance and Design of Consensus on Matrix-Weighted and Time-Scaled Graphs
Dillon R. Foight, Mathias Hudoba de Badyn, Mehran Mesbahi · IEEE Transactions on Control of Network Systems · 2020
In this article, we consider the H2-norm of networked systems with multi-time-scale consensus dynamics and vector-valued agent states. This allows us to explore how measurement and process noise affect consensus on matrix-weighted graphs by examining edgestate consensus. In particular, we highlight an interesting case where the influences of the weighting and scaling on the H2-norm can be separated in the design problem. We then consider optimization algorithms for updating the time-scale parameters and matrix weights in order to minimize network response to injected noise. Finally, we present an application to formation control for multivehicle systems.