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Global Solution to an H-infinity Control Problem for Control-affine Systems

Vladu, Emil LU orcid and Rantzer, Anders LU orcid (2022) 25th IFAC Symposium on Mathematical Theory of Networks and Systems, MTNS 2022 55. p.388-393
Abstract

In this paper, we present a global solution to a nonlinear H-infinity optimal control problem for control-affine systems with an associated potential function. We also give a closed-form expression for an optimal controller and demonstrate its potential for sparsity. This paper thus advances a recent result which considers the same problem restricted to systems with symmetric state matrix and nonlinear input matrix. We further apply the main result to obtain a simpler and more intuitive statement for a class of systems capable of modeling nonlinear buffer networks.

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
distributed control, H-infinity control, large-scale systems, nonlinear systems, robust control
host publication
IFAC-PapersOnLine
volume
55
pages
6 pages
conference name
25th IFAC Symposium on Mathematical Theory of Networks and Systems, MTNS 2022
conference location
Bayreuthl, Germany
conference dates
2022-09-12 - 2022-09-16
external identifiers
  • scopus:85144824143
DOI
10.1016/j.ifacol.2022.11.084
language
English
LU publication?
yes
id
446617ba-3fff-47f3-afc9-231d200c1001
date added to LUP
2023-01-12 16:14:00
date last changed
2023-11-21 15:30:20
@inproceedings{446617ba-3fff-47f3-afc9-231d200c1001,
  abstract     = {{<p>In this paper, we present a global solution to a nonlinear H-infinity optimal control problem for control-affine systems with an associated potential function. We also give a closed-form expression for an optimal controller and demonstrate its potential for sparsity. This paper thus advances a recent result which considers the same problem restricted to systems with symmetric state matrix and nonlinear input matrix. We further apply the main result to obtain a simpler and more intuitive statement for a class of systems capable of modeling nonlinear buffer networks.</p>}},
  author       = {{Vladu, Emil and Rantzer, Anders}},
  booktitle    = {{IFAC-PapersOnLine}},
  keywords     = {{distributed control; H-infinity control; large-scale systems; nonlinear systems; robust control}},
  language     = {{eng}},
  pages        = {{388--393}},
  title        = {{Global Solution to an H-infinity Control Problem for Control-affine Systems}},
  url          = {{http://dx.doi.org/10.1016/j.ifacol.2022.11.084}},
  doi          = {{10.1016/j.ifacol.2022.11.084}},
  volume       = {{55}},
  year         = {{2022}},
}