Relaxed Optimal Control of Piecewise Linear Systems
(2003)- Abstract
- This paper applies a dynamic programming relaxation methodpreviously proposed by the authors to optimal control of piecewise linearsystems. The method gives an algorithm to find a sub-optimal valuefunction and control law within a user-specified distance from theoptimal solution. For computational reasons, the value function usedin this paper is piecewise quadratic and continuous. It cannot, ingeneral, represent the optimalvalue function, but works as an approximator. The controllers found bythe method are piecewise linear.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/536714
- author
- Lincoln, Bo LU and Rantzer, Anders LU
- organization
- publishing date
- 2003
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Analysis and Design of Hybrid Systems 2003
- editor
- Engell, Sebastian ; Gueguen, Herve and Zaytoon, Janan
- publisher
- Elsevier
- external identifiers
-
- scopus:33646926232
- ISBN
- 0080440940
- language
- English
- LU publication?
- yes
- id
- 7ad36dbe-c8ab-41fe-bbaf-f0cd2f3d393c (old id 536714)
- date added to LUP
- 2016-04-04 10:33:40
- date last changed
- 2023-09-06 06:34:37
@inproceedings{7ad36dbe-c8ab-41fe-bbaf-f0cd2f3d393c, abstract = {{This paper applies a dynamic programming relaxation methodpreviously proposed by the authors to optimal control of piecewise linearsystems. The method gives an algorithm to find a sub-optimal valuefunction and control law within a user-specified distance from theoptimal solution. For computational reasons, the value function usedin this paper is piecewise quadratic and continuous. It cannot, ingeneral, represent the optimalvalue function, but works as an approximator. The controllers found bythe method are piecewise linear.}}, author = {{Lincoln, Bo and Rantzer, Anders}}, booktitle = {{Analysis and Design of Hybrid Systems 2003}}, editor = {{Engell, Sebastian and Gueguen, Herve and Zaytoon, Janan}}, isbn = {{0080440940}}, language = {{eng}}, publisher = {{Elsevier}}, title = {{Relaxed Optimal Control of Piecewise Linear Systems}}, year = {{2003}}, }