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Objective function design for robust optimalityof linear controlunder state-constraints and uncertainty
Published online by Cambridge University Press: 30 October 2009
Abstract
We consider a model for the control of a linear network flow system with unknown but bounded demandand polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective functionthat makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 1 , January 2011 , pp. 155 - 177
- Copyright
- © EDP Sciences, SMAI, 2009
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