Identification of interpolating affine LPV models for mechatronic systems with one varying parameter

This paper presents a technique to identify an affine parameter-dependent model based on a set of Linear Time-Invariant (LTI) models that are identified in local operating points of the varying system. The systems under investigation are mechatronic systems in which the dynamic behaviour is depending on a single varying parameter. By fitting specific pole and zero loci on the poles and Zeros of the local LTI models, an affine state-space model can be constructed. Since the resulting affine model is well conditioned and has a loll, complexity, it is suitable to be used for Linear Parameter-Varying (LPV) control. The applicability of the presented technique is shown on an industrial pick-and-place machine with position-dependent dynamics.