Stabilizing decentralized systems with arbitrary information structure

Author

Alavian, Alborz ; Rotkowitz, Michael

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

4032

Lastpage

4038

Abstract

A seminal result in decentralized control is the development of fixed modes by Wang and Davison in 1973 - that plant modes which cannot be moved with a static decentralized controller cannot be moved by a dynamic one either, and that the other modes which can be moved can be shifted to any chosen location with arbitrary precision. These results were developed for perfectly decentralized, or block diagonal, information structure, where each control input may only depend on a single corresponding measurement. Furthermore, the results were claimed after a preliminary step was demonstrated, omitting a rigorous induction for each of these results, and the remaining task is nontrivial.

Keywords

decentralised control; stability; arbitrary information structure; block diagonal; information structure; stabilizing decentralized systems; static decentralized controller; Computers; Decentralized control; Educational institutions; Eigenvalues and eigenfunctions; Kalman filters; Numerical stability; Periodic structures;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7040016

Filename

7040016