### Optimization and Systems Theory Seminar

Friday, October 31 2008, 10.30-11.30.00, Room 3721, Lindstedtsvägen 25

Anders Rantzer, LTH

E-mail: rantzer@control.lth.se

####
Price Mechanisms for Distributed Control Synthesis

Many control applications have a decentralized structure,
where each subunit as access to different information about the system state.
Still, most control theory has been developed in a centralized setting, where
all measurements are processed together to compute the control signals. This
paradigm has conceptual advantages, but also inherent limitations in terms of
complexity and integrity. The purpose of this lecture is to show how ideas from
convex optimization and game theory may help to go beyond the traditional
paradigm to support analysis and synthesis of distributed controllers.

In particular, we will reconsider well established
methods for decomposition of large scale optimization problems by introduction
of dual variables. These can be interpreted as prices in a market mechanism
serving to achieve mutual agreement between different subproblems. The same idea
can be used for decomposition of large scale control systems, with dynamics in
both decision variables and prices. The dynamics bring interesting new phenomena.
For example, expected future prices could be highly relevant for todays
decisions.

Calendar of seminars
*Last update: October 22, 2008 by
Marie Lundin.
*