A Local Approach Framework for Black-Box and Gray-Box LPV System Identification

This paper presents a comparison of two techniques dedicated to the identification of LPV systems by using local experiments only. Such an approach can be justified by the fact that, in many practical cases, exciting the scheduling variables persistently is not conceivable for safety/economic reasons. According to the prior information available on the system, a black-box and a gray-box model-based technique are described and compared through a simulation example. More precisely, a new version of the algorithm suggested in [1] is compared with a gray-box model-based technique consisting in interpolating local re-structured LTI state-space models, whose basis coherence is ensured thanks to prior knowledge about the system to identify. This contribution shows that prior information can be really helpful when the problem of coherent basis selection arises.