Optimal Realizable Networked Controllers for Networked Systems

Abstract:

In this talk, we provide the optimal solution for the H2 control problem in the case when both plant and controller are interconnected systems interacting over the same arbitrary directed network with noiseless and delay-­‐free communication links. We introduce the notions of network implementability and network realizability and analyze the structure of network implementable and realizable systems. Using these structural properties, we characterize the set of all stabilizing controllers that are implementable over the given network using the Youla parametrization. The distributed H2 control problem is then cast as a convex optimization problem and its solution is shown to provide the optimal distributed controller over the given network. The results of this paper allow one to apply many classical results and approaches of multi-­‐variable robust control to networked systems. 

Presentation Slides

Biography:

Nicola Elia is an Associate Professor of the Dept. of Electrical and Computer Engineering at Iowa State University. He received the Laurea degree in Electrical Engineering from Politecnico di Torino in 1987, and the Ph.D. degree in Electrical Engineering and Computer Science from Massachusetts Institute of Technology in 1996. He worked at the Fiat Research Center from 1987 to 1990. He was Postdoctoral Associate at the Laboratory for Information and Decision Systems at MIT from 1996 to 1999. He has received the NSF CAREER Award in 2001. His research interests include networked control systems, communication systems with access to feedback, complex systems, and computational methods for controller design.