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.

Bagagiolo, F., Bauso, D. (2011). Objective function design for robust optimality of linear control under state-constraints and uncertainty. ESAIM. COCV, 17, 155-177 [10.1051/cocv/2009040].

Objective function design for robust optimality of linear control under state-constraints and uncertainty

BAUSO, Dario
2011-01-01

Abstract

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.
2011
Bagagiolo, F., Bauso, D. (2011). Objective function design for robust optimality of linear control under state-constraints and uncertainty. ESAIM. COCV, 17, 155-177 [10.1051/cocv/2009040].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/77837
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