Control of distributed systems over graphs
Zhe Di, Mazen Farhood, and Geir E. DullerudAbstract
This paper focuses on designing distributed controllers for interconnected systems in situations where the controller sensing and actuation topology is inherited from that of the plant. The main contribution of this work is new results on general graph interconnection structures. This is accomplished by extending our previous machinery developed for distributed systems posed on the standard spatial grid. We derive analysis and convex synthesis conditions for design in this setting. Furthermore, the methodology developed here provides a unifying viewpoint for our previous and related work on distributed control.
This paper appears in the Proceedings of the IEEE Conference on Decision and Control, 2006. Download (full-text)