Closed-form H-infinity optimal control for a class of infinite-dimensional systems
Bergeling, Carolina LU
; Morris, Kirsten A.
and Rantzer, Anders
LU
(2020)
In Automatica
117.
- Abstract
H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems of H-infinity optimal actuator and sensor location. Furthermore, the results can be used in testing and bench-marking of general purpose... (More)
H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems of H-infinity optimal actuator and sensor location. Furthermore, the results can be used in testing and bench-marking of general purpose algorithms for H-infinity synthesis. The results also apply to finite-dimensional systems.
(Less)
- author
- Bergeling, Carolina
LU
; Morris, Kirsten A.
and Rantzer, Anders
LU
- organization
- publishing date
- 2020-07
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Distributed-parameter systems, H-infinity control, Linear systems, Optimal control, Optimal estimation
- in
- Automatica
- volume
- 117
- article number
- 108916
- publisher
- Pergamon Press Ltd.
- external identifiers
-
- scopus:85082447140
- ISSN
- 0005-1098
- DOI
- 10.1016/j.automatica.2020.108916
- project
- Scalable Control of Interconnected Systems
- language
- English
- LU publication?
- yes
- id
- 99b7d099-b500-4d1f-aed1-58ecad228d41
- alternative location
- http://arxiv.org/abs/2106.04183
- date added to LUP
- 2020-04-15 16:40:30
- date last changed
- 2023-11-20 03:32:13
@article{99b7d099-b500-4d1f-aed1-58ecad228d41,
abstract = {{<p>H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems of H-infinity optimal actuator and sensor location. Furthermore, the results can be used in testing and bench-marking of general purpose algorithms for H-infinity synthesis. The results also apply to finite-dimensional systems.</p>}},
author = {{Bergeling, Carolina and Morris, Kirsten A. and Rantzer, Anders}},
issn = {{0005-1098}},
keywords = {{Distributed-parameter systems; H-infinity control; Linear systems; Optimal control; Optimal estimation}},
language = {{eng}},
publisher = {{Pergamon Press Ltd.}},
series = {{Automatica}},
title = {{Closed-form H-infinity optimal control for a class of infinite-dimensional systems}},
url = {{https://lup.lub.lu.se/search/files/98553404/Bergeling_etal.pdf}},
doi = {{10.1016/j.automatica.2020.108916}},
volume = {{117}},
year = {{2020}},
}