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Relaxed Optimal Control of Piecewise Linear Systems

Lincoln, Bo LU and Rantzer, Anders LU (2003) In Analysis and Design of Hybrid 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:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Analysis and Design of Hybrid Systems 2003
editor
Engell, Sebastian; Gueguen, Herve and Zaytoon, Janan
publisher
Elsevier
ISBN
0080440940
language
English
LU publication?
yes
id
7ad36dbe-c8ab-41fe-bbaf-f0cd2f3d393c (old id 536714)
date added to LUP
2007-09-21 11:42:33
date last changed
2016-09-23 15:15:34
@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},
}