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Published 2006 | public
Book Section - Chapter

Minimal Interconnection Topology in Distributed Control Design

Abstract

We propose and partially analyze a new model for determining the influence of a controller's interconnection graph on closed-loop performance in distributed control design problems. Given a plant composed of dynamically uncoupled subsystems, we investigate the existence and properties of an optimal structured controller, when one of the weight matrices of a classical LQR cost function is topology-dependent. We also give some theoretical results as to the existence of "critical prices" at which adding supplementary edges becomes detrimental to closed-loop performance.

Additional Information

© 2006 IEEE. Issue Date: 14-16 June 2006. Date of Current Version: 24 July 2006. Discussions with Prof. Anders Rantzer and Tudor Stoenescu, on this and related topics, are gratefully acknowledged.

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024