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

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.
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: http://hdl.handle.net/10447/77837
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