Distributed Control over Structured and Lossy Networks

In this paper we consider distributed control of n dynamic agents to optimize an overall system performance metric. Due to limited communication resources, there exist structured interconnections among the agents and the design interest is placed in synthesizing a suitably distributed control law to provide a given performance level. Based on a Youla-Kucera parameterization approach, the problem of designing a distributed controller to deliver given performance levels for different network topologies is convex in the Youla-Kucera parameter Q. Furthermore, if packet drops exist in information transmission among the agents, we provide convex conditions to guarantee mean square stability and optimize system performance.