Generalized Popov theory applied to state-delayed systems
Résumé
The generalized Popov theory was used to simultaneously achieve closed-loop stability and gamma attenuation for systems described in terms of linear delay differential equations. Particular focus was given to the memoryless controller applied to H∞-control problem stated for systems described through algebraic properties of some matrix pencil. A unified approach was provided to allow simple interpretations of some control problems for delay systems in terms of Popov triplets and associated objects.