Hierarchical approach to investigate the robust performance of uncertain large scale systems

In this report, the problem of robust performance analysis of interconnected uncertain systems with hierarchical structure is considered. The computational load associated to such problems does not allow a direct application of robustness analysis usual tools. To overcome this difficulty, we exploit the hierarchical structure of the problem and propose an algorithm to perform robust-ness analysis using IQC " propagation " along the hierarchical structure. This algorithm allows to establish a trade-off between computation time required to perform the analysis and the conservatism of the obtained results. Furthermore, it is easy to perform parallel computation using the proposed algorithm.