Optimal Decentralized Control in Unidirectional One-Step Delayed Sharing Pattern Conference Paper

abstract

• We consider an optimal decentralized LQG control problem for a plant with nested structure controlled by two players. Players are assumed to have a unidirectional one-step delayed error-free communication channel, i.e. there is a unit delay in information transmission in one direction and no transmission in the other direction. Full state feedback is assumed. Delayed information sharing patterns in general do not admit linear optimal control laws and are thus difficult to control optimally. However, in this scenario, we show that the problem has a partially nested information structure, and thus a linear optimal control law exists. Summary statistics to characterize this law are developed and a deterministic convex optimization problem is formulated whose solution yields the optimal control law. 2013 IEEE.

name of conference

• 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)

authors

• Kalathil, Dileep

published proceedings

• 2013 51ST ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON)

author list (cited authors)

• Nayyar, N., Kalathil, D., & Jain, R.

citation count

• 3

complete list of authors

• Nayyar, Naumaan||Kalathil, Dileep||Jain, Rahul

publication date

• January 2013

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• n2474-0195ISSN  Journal

Digital Object Identifier (DOI)

• 10.1109/allerton.2013.6736548

International Standard Book Number (ISBN) 13

• 9781479934096

start page

• 374

end page

• 380

URL

• http://dx.doi.org/10.1109/allerton.2013.6736548