CaltechAUTHORS
  A Caltech Library Service

Structured State Space Realizations for SLS Distributed Controllers

Anderson, James and Matni, Nikolai (2017) Structured State Space Realizations for SLS Distributed Controllers. In: 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE , Piscataway, NJ, pp. 982-987. ISBN 978-1-5386-3267-3. https://resolver.caltech.edu/CaltechAUTHORS:20180125-135044714

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180125-135044714

Abstract

In recent work the system level synthesis (SLS) paradigm has been shown to provide a truly scalable method for synthesizing distributed feedback controllers. Moreover, the resulting synthesis problem is convex. In this paper we provide minimal state space realizations for both the state and output feedback controllers. It is also shown that (for fixed n) the state dimension of the controllers grows linearly with FIR filter horizon length — in both cases, we show that if the underlying transfer matrices are structured, so is the corresponding state-space realization. For the H2 state feedback case a simple decomposition technique reduces the synthesis problem to solving a set of lower dimensional LQR problems that can be solved in parallel.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ALLERTON.2017.8262844DOIArticle
http://ieeexplore.ieee.org/document/8262844/PublisherArticle
ORCID:
AuthorORCID
Matni, Nikolai0000-0003-4936-3921
Additional Information:© 2017 IEEE. Date Added to IEEE Xplore: 18 January 2018.
Record Number:CaltechAUTHORS:20180125-135044714
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180125-135044714
Official Citation:J. Anderson and N. Matni, "Structured state space realizations for SLS distributed controllers," 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL, USA, 2017, pp. 982-987. doi: 10.1109/ALLERTON.2017.8262844
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84528
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:31 Jan 2018 18:12
Last Modified:03 Oct 2019 19:19

Repository Staff Only: item control page