Transformations for linear parameter varying systems

The LPV modelling paradigm grew up from the desire of having a gain scheduling method with guaranteed stability and performance bound by using as much as possible from the LTI design techniques. In the last decades the framework has proven its applicability in the field of robust control design. Some basic modelling issues, however, such as system equivalence, state transformation, loop transformation, does not gain much attention. The main goal of the paper is to provide an initialization of the novices in LPV modelling in order to eliminate the possible pitfalls that still often occur in the related literature. On the other side, we would like to point out some potential research topics that might also be interesting for a much larger audience.