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 language | English |
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Title of host publication | Analysis and Design of Hybrid Systems 2003 |
Editors | Sebastian Engell, Herve Gueguen, Janan Zaytoon |
Publisher | Elsevier |
ISBN (Print) | 0080440940 |
Publication status | Published - 2003 |
Subject classification (UKÄ)
- Control Engineering