Title: Fundamental limitations in control over networks with communication constraints

Abstract: In this talk, we discuss our recent research on control systems employing networks with communication constraints and some fundamental limitations arising in such systems. First, we describe a stabilization problem of linear uncertain systems with parametric uncertainties via feedback control over channels with finite data rate. We derive conditions on the data rate characterized by properties of the nominal plant and the level of plant uncertainty. For reducing the required data rate, a new class of nonuniform quantizers is shown to be effective. Second, we present an information-theoretic approach for deriving Bode-type integral inequalities for control systems over noisy communication channels. The integral inequalities characterize fundamental performance trade-offs of such networked feedback systems with linear time-invariant plants and causal stabilizing controllers.

Bio: Hideaki Ishii received the M.Eng. degree from Kyoto University, Japan in 1998 and the Ph.D. degree from the University of Toronto, Canada in 2002. He was a Postdoctoral Research Associate at the University of Illinois at Urbana]Champaign, USA from 2001 to 2004, and a Research Associate at The University of Tokyo, Japan from 2004 to 2007. Currently, he is an Associate Professor in the Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan. He has served as an Associate Editor for the IEEE Transactions on Automatic Control and Automatica. He is the Chair of the IFAC Technical Committee on Networked Systems and a member of the Board of Governors of the IEEE Control Systems Society. His research interests are in networked control systems, multiagent systems, hybrid systems, and probabilistic algorithms.