Convex hierarchical analysis for the performances of uncertain large-scale systems

Abstract

The performance analysis of uncertain large-scale systems is under consideration. It is performed via a hierarchical modeling and analysis of the systems thanks to the recursive application of a propagation of dissipativity properties result. In contrast to an one-step approach such as (upper bound) μ-analysis where computation time can be prohibitive for largescale systems, the proposed method allows to set the trade-off between conservatism and computation time. The approach is used on a PLL network example and illustrates the new trade-off achieved.