6533b7d6fe1ef96bd1265d44
RESEARCH PRODUCT
Objective function design for robust optimality of linear control under state-constraints and uncertainty
Fabio BagagioloDario Bausosubject
Flow control (data)Mathematical optimizationControl and OptimizationControl (management)State (functional analysis)Optimal control viscosity solutions differential games switching flow control networksOptimal controlComputational MathematicsControl and Systems EngineeringControl theoryViscosity (programming)Bounded functionDifferential gameMathematicsLinear controldescription
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. © 2009 EDP Sciences, SMAI.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-10-30 |