Distributed Robust Stability Analysis of Interconnected Uncertain Systems
Abstract
This paper considers robust stability analysis of a large network of interconnected uncertain systems. To avoid analyzing the entire network as a single large, lumped system, we model the network interconnections with integral quadratic constraints. This approach yields a sparse linear matrix inequality which can be decomposed into a set of smaller, coupled linear matrix inequalities. This allows us to solve the analysis problem efficiently and in a distributed manner. We also show that the decomposed problem is equivalent to the original robustness analysis problem, and hence our method does not introduce additional conservativeness.
Cite
@article{arxiv.1211.1239,
title = {Distributed Robust Stability Analysis of Interconnected Uncertain Systems},
author = {Martin S. Andersen and Anders Hansson and Sina Khoshfetrat Pakazad and Anders Rantzer},
journal= {arXiv preprint arXiv:1211.1239},
year = {2016}
}
Comments
This paper has been accepted for presentation at the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012