Preservation of Stability for Reduced Order Model of Large Scale Systems Using Differentiation Method

In this paper, higher order single-input and single-output models are considered for reduction using differentiation method. The analysis of higher order models is complex, and time consuming. The application of model order reduction is necessitated to reduce the system with its core properties. The analysis of a low order system is easy, and fast process. The higher order systems are reduced using differentiation method and the results are compared with original and the reduced systems in literature. The performance comparison of the proposed reduced order model and original as well as systems in literature have been considered in terms of settling time, rise time, peak and peak time. The application of proposed differentiation method is applied to discrete system and found equally good to retain the stability in reduced order model.