0000000000716679

AUTHOR

Danielle C. Tarraf

showing 2 related works from this author

Finite Alphabet Control of Logistic Networks with Discrete Uncertainty

2014

We consider logistic networks in which the control and disturbance inputs take values in finite sets. We derive a necessary and sufficient condition for the existence of robustly control invariant (hyperbox) sets. We show that a stronger version of this condition is sufficient to guarantee robust global attractivity, and we construct a counterexample demonstrating that it is not necessary. Being constructive, our proofs of sufficiency allow us to extract the corresponding robust control laws and to establish the invariance of certain sets. Finally, we highlight parallels between our results and existing results in the literature, and we conclude our study with two simple illustrative exampl…

General Computer ScienceComputer scienceMechanical EngineeringSystems and Control (eess.SY)Invariant (physics)Mathematical proofConstructiveControl and Systems EngineeringOptimization and Control (math.OC)FOS: MathematicsFOS: Electrical engineering electronic engineering information engineeringComputer Science - Systems and ControlApplied mathematicsElectrical and Electronic EngineeringAlphabetRobust controlMathematics - Optimization and ControlFinite setCounterexample
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Control of Production-Distribution Systems under Discrete Disturbances and Control Actions

2011

This paper deals with the robust control and optimization of production-distribution systems. The model used in our problem formulation is a general network flow model that describes production, logistics, and transportation applications. The novelty in our formulation is in the discrete nature of the control and disturbance inputs. We highlight three main contributions: First, we derive a necessary and sufficient condition for the existence of robustly control invariant hyperboxes. Second, we show that a stricter version of the same condition is sufficient for global convergence to an invariant set. Third, for the scalar case, we show that these results parallel existing results in the set…

Distribution systemMathematical optimizationSettore ING-INF/04 - AutomaticaControl theoryNoveltyHypercubealphapet control production-distribution systemsInvariant (physics)Robust controlSettore MAT/09 - Ricerca OperativaFlow networkMathematics
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