A Decentralized Control Synthesis Approach for Networked Systems With Arbitrary Interconnections

This article considers the problem of decentralized analysis and control synthesis to verify and enforce properties like stability and dissipativity of large-scale networked systems comprised of linear subsystems interconnected in an arbitrary topology. In particular, we design systematic networked system analysis and control synthesis processes that can be executed in a decentralized manner with minimal information sharing among the subsystems. We also show that, for such decentralized processes, optimizing the used subsystem indexing scheme can substantially reduce the required intersubsystem information-sharing. We also provide insights into our decentralization technique so that it can be quickly adopted to decentralize many other centralized control solutions.We conclude this article by providing several simulation results demonstrating the proposed novel decentralized processes and dissipativity-based centralized and decentralized control solutions.