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Delayed Time-Varying $H^infty$ Control Design

Barabanov, Andrey and Ghulchak, Andrey LU (2005) IFAC World Congress
Abstract
The linear $H^infty$ control problem is stated for time-varying plant with arbitrary delays and discontinuous coefficients. The image representation of the plant is explicitly written and full solution to the suboptimal control problem is presented. Necessary and sufficient conditions for existence of a solution are derived from the abstract principle of maximum. No Riccati equations are used. The existence of smooth kernels of optimal integral operators is proved and their properties are studied. A numerical method is presented for computation of the optimal kernels for the special case. The case is a model of a car autopilot on a concave road.
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author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Numerical methods, Delay analysis, Maximum principle, $H^infty$ control
host publication
[Host publication title missing]
pages
6 pages
publisher
IFAC
conference name
IFAC World Congress
conference location
Prague, Czech Republic
conference dates
2005-07-04
language
English
LU publication?
yes
id
b3f341b0-4e0a-4545-a62c-1e6238587e8e (old id 951052)
date added to LUP
2016-04-04 10:57:52
date last changed
2018-11-21 21:01:50
@inproceedings{b3f341b0-4e0a-4545-a62c-1e6238587e8e,
  abstract     = {The linear $H^infty$ control problem is stated for time-varying plant with arbitrary delays and discontinuous coefficients. The image representation of the plant is explicitly written and full solution to the suboptimal control problem is presented. Necessary and sufficient conditions for existence of a solution are derived from the abstract principle of maximum. No Riccati equations are used. The existence of smooth kernels of optimal integral operators is proved and their properties are studied. A numerical method is presented for computation of the optimal kernels for the special case. The case is a model of a car autopilot on a concave road.},
  author       = {Barabanov, Andrey and Ghulchak, Andrey},
  booktitle    = {[Host publication title missing]},
  language     = {eng},
  publisher    = {IFAC},
  title        = {Delayed Time-Varying $H^infty$ Control Design},
  year         = {2005},
}