Comparative Analysis of Different Balanced Truncation Techniques of Model Order Reduction

While studying the behavior of industrial processes, it becomes essential to go through the transfer function of the system. But when there are large operation processes, the study of the behavior of these processes becomes strenuous. In light of this, there is a need to reduce the transfer function so that it becomes convenient to analyze various behavioral parameters such as steady-state error, peak overshoot, and rise time. During the process of reducing the order of the system, the desire is that the behavioral characteristics of both original and reduced-order system remain the same. So these constraints should be kept in mind by the researcher while designing the techniques for reducing the model to find out the best approximation for the system with high order. This paper outlines some techniques for the reduction of the higher-order system, and then, comparative analysis is undertaken on the basis of some performance parameters, and with the help of an example, the comparative analysis of all the techniques is done to obtain the best technique out of the four techniques.

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