Relaxed Optimal Control of Piecewise Linear Systems

Bo Lincoln, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

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.
Original languageEnglish
Title of host publicationAnalysis and Design of Hybrid Systems 2003
EditorsSebastian Engell, Herve Gueguen, Janan Zaytoon
PublisherElsevier
ISBN (Print)0080440940
Publication statusPublished - 2003

Subject classification (UKÄ)

  • Control Engineering

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