A Minimax Optimal Controller for Positive Systems
(2024)- Abstract
- We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/388a2fb9-8080-4337-bfc1-ad8784a243ed
- author
- Gurpegui Ramón, Alba
LU
; Tegling, Emma
LU
and Rantzer, Anders
LU
- organization
- publishing date
- 2024-05-15
- type
- Contribution to conference
- publication status
- in press
- subject
- keywords
- Minimax; Optimal control; Positive systems; Large scale systems; Robust Control.
- project
- WASP NEST: Learning in Networks: Structure, Dynamics, and Control
- language
- English
- LU publication?
- yes
- id
- 388a2fb9-8080-4337-bfc1-ad8784a243ed
- alternative location
- https://arxiv.org/abs/2502.01180
- date added to LUP
- 2025-03-31 13:37:02
- date last changed
- 2025-04-09 10:22:18
@misc{388a2fb9-8080-4337-bfc1-ad8784a243ed, abstract = {{We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances.}}, author = {{Gurpegui Ramón, Alba and Tegling, Emma and Rantzer, Anders}}, keywords = {{Minimax; Optimal control; Positive systems; Large scale systems; Robust Control.}}, language = {{eng}}, month = {{05}}, title = {{A Minimax Optimal Controller for Positive Systems}}, url = {{https://arxiv.org/abs/2502.01180}}, year = {{2024}}, }