An Optimal Architecture for Decentralized Control over Posets

author: Pablo A. Parrilo, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, MIT
published: Oct. 16, 2012,   recorded: September 2012,   views: 2960


Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


Partially ordered sets (posets) provide a natural way of modeling problems where communication constraints between subsystems have a hierarchical or causal structure. In this talk, we consider general poset-causal decentralized decision-making problems, and describe a simple and natural controller architecture based on the Moebius transform of the poset. This architecture possesses simple and appealing separation properties. In particular, we show how our earlier results on H2-optimal decentralized control for arbitrary posets can be cast exactly into this framework, by exploiting a key separation property of the H2 norm, and the incidence algebra of the poset. Joint work with Parikshit Shah (U. Wisconsin).

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment:

make sure you have javascript enabled or clear this field: