Issue |
ESAIM: COCV
Volume 17, Number 1, January-March 2011
|
|
---|---|---|
Page(s) | 155 - 177 | |
DOI | https://doi.org/10.1051/cocv/2009040 | |
Published online | 30 October 2009 |
Objective function design for robust optimality of linear control under state-constraints and uncertainty
1
Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050 Povo-Trento, Italy. bagagiol@science.unitn.it
2
DINFO, Università di Palermo, 90128 Palermo, Italy. dario.bauso@unipa.it
Received:
12
March
2009
Revised:
27
July
2009
We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that 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.
Mathematics Subject Classification: 49L25 / 49N90 / 90C35
Key words: Optimal control / viscosity solutions / differential games / switching / flow control / networks
© EDP Sciences, SMAI, 2009
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