Disturbance rejection and reference tracking of time delayed systems using Gramian controllability

The aim is to carry out the input-output controllability analysis of a multitude of time delayed and disturbed single-input single-output plants considering all the limitations that may have a direct or indirect influence on the system. In a practical world, it is very important to ensure that all the variables of control systems are realizable. The control error and output must not be too high for a plant to realize. This emphasizes that it is necessary to have some sort of a numerical threshold value for the input-output controllability characteristic value. A fitting controller is designed for each plant model and disturbance, respectively. Larger values for the controllability would indicate higher controllability and all the values less than the threshold value would be treated as uncontrollable. This helps us in making decisions beforehand and predicts the successful control. The reason behind adopting this approach is that the classical control cannot correctly evaluate the bounded systems.

Automated summary

The aim of this study is to analyze the input-output controllability of a group of time delayed and disturbed single-input single-output systems, considering all possible limitations on the system. By designing fitting controllers for each plant model and disturbance, and setting a threshold value for controllability, the success of control can be predicted.