Robust control of decomposable LPV systems under time-invariant and time-varying interconnection topologies (Part 2)

In this paper and its companion paper [1], an approach to distributed control of a class of interconnected systems is proposed. The systems under consideration are known as decomposable systems, which include multi-agent systems as a special case. It is assumed that the interconnection topology is uncertain but belongs to a known set of topologies. In the first part of this series of two papers, sufficient conditions for stability analysis are derived for different cases of directed time-invariant and time-varying topologies. In this paper, the second part, these conditions are extended to decomposable LPV systems. Recent work on state feedback controller synthesis is extended here to robust output feedback controller synthesis. The distributed controllers proposed here are robust in a twofold sense: first against uncertain topologies and second against the LPV dynamics of the subsystems.