Extending the concept of tensor product modelling for delayed systems

Feedback delays are inherent attributes of distributed control systems that usually cause unfavorable effect on the stability of the controlled process. Modelling of such systems is essential for traceable controller synthesis. In this paper we apply the TP Model Transformation to derive a polytopic representation of an LPV model where the time-delay is considered as parameter. The method is introduced via a single degree of freedom impedance model with feedback delay. The resulted model is validated by simulation.