Periodic output feedback control for Delta operator systems

This paper proposes an algorithm for periodic output feedback (POF) control for Delta operator systems. The Delta operator creates the rapprochement between analog and discrete dynamic system models and establishes the natural framework to investigate the behavior of discrete dynamic models with fast sampling rates. It is shown here that, the periodic output feedback control fails for discrete-time systems represented by the traditional shift operator for smaller values of sampling time, whereas the same is possible if it is represented in the delta domain. Since the proposed algorithm is based on output feedback, it is more practical in comparison to the state feedback based control algorithms. The design method is illustrated through a numerical example and the simulation results show the effectiveness of the proposed method.