A Novel Method to Analyze Input-Output Controllability

The proposed algorithm in this research paper leads to an approach through which the input-output controllability of a plant model can be predicted successfully beforehand if it is scaled efficiently according to a normalized behavior. In the industrial applications, it is extremely important to make sure that the inputs and outputs of a plant model are realizable not only with the limitations imposed mostly by the system's devices but also by its circuitry and programming. The motivation behind choosing this method is that the classical control fails to precisely assess the systems. The goal is to extract a threshold value based on the controllability Gramian characteristic. According to a defined controllability criterion, any value which would be less than the proposed threshold value would translate into the fact that the plant is not practically controllable. The Glover-McFarlane loop shaping technique is implemented for a multitude of multi-input multi-output systems.