H∞ control oriented LFT modelling of linear dynamical system

This paper presents a systematic formulation of control-oriented linear fractional transformation (LFT) modelling of the linear dynamical system, truly integrates the objective of control theory. A novel methodology has been introduced for modeling quality improvement to achieve certain performance specification considering the modeling uncertainties arising due to the difference between the mathematical model and the actual system and the presence of disturbance signal during the formulation of LFT framework. For the convenience of compact modelling, the generalized transfer function of the linear dynamical system has been represented into the LFT framework by incorporating the real parametric uncertainties enter rationally into the system modelling. The generalized LFT modeling algorithm is convenient to address the issues like identifiability and persistence of excitation for a huge class of system model structures can be accommodated because of its general nature. The proposed modelling algorithm has been applied to a benchmarked industrial mechatronics system, to verify the effectiveness of control theory.