A LFT/ℋ∞ state feedback design for linear parameter varying time delay systems

This paper considers ℋ_∞ control of LPV time delay systems in LFT form. We first introduce a new model transformation for systems with time varying delay which allows us to propose a systematic method to design gain-scheduled state feedback in the delay dependent framework. Further, we extend this method to elaborate a new type of controller for TDS whenever the delay is measured in real time and explicitly used in the controller as a parameter. These results are presented with single delayed systems but can be easily generalized to multiple delayed systems.