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Global Solution to an H-infinity Control Problem with Input Nonlinearity

Vladu, Emil LU orcid ; Bergeling, Carolina and Rantzer, Anders LU orcid (2021) p.3237-3242
Abstract
This paper gives a global solution to an H-infinity control problem for systems with symmetric state matrix and state-dependent input matrix. A simple, closed-form expression for the minimizing controller is obtained. This is in contrast to already established theory in which nonlinear H-infinity problems are solved locally. The result is then illustrated through an example, and the potential for controller sparsity is highlighted. Applications to large-scale systems are discussed.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
H-infinity Control, Nonlinear Systems
host publication
2021 60th IEEE Conference on Decision and Control (CDC)
pages
6 pages
external identifiers
  • scopus:85126018517
ISBN
978-1-6654-3659-5
DOI
10.1109/CDC45484.2021.9683677
project
Throughput Control in Autonomous Networks
language
English
LU publication?
yes
id
20b756fc-2a73-4405-933b-c8ecb870f839
date added to LUP
2025-02-24 14:54:31
date last changed
2025-10-14 10:47:12
@inproceedings{20b756fc-2a73-4405-933b-c8ecb870f839,
  abstract     = {{This paper gives a global solution to an H-infinity control problem for systems with symmetric state matrix and state-dependent input matrix. A simple, closed-form expression for the minimizing controller is obtained. This is in contrast to already established theory in which nonlinear H-infinity problems are solved locally. The result is then illustrated through an example, and the potential for controller sparsity is highlighted. Applications to large-scale systems are discussed.}},
  author       = {{Vladu, Emil and Bergeling, Carolina and Rantzer, Anders}},
  booktitle    = {{2021 60th IEEE Conference on Decision and Control (CDC)}},
  isbn         = {{978-1-6654-3659-5}},
  keywords     = {{H-infinity Control; Nonlinear Systems}},
  language     = {{eng}},
  month        = {{12}},
  pages        = {{3237--3242}},
  title        = {{Global Solution to an H-infinity Control Problem with Input Nonlinearity}},
  url          = {{http://dx.doi.org/10.1109/CDC45484.2021.9683677}},
  doi          = {{10.1109/CDC45484.2021.9683677}},
  year         = {{2021}},
}