Abstract
This research article suggests a novel procedure for representing the higher order system with its reduced order models of the desired order. The modelling of the systems by reducing the order of the system has been the requirement of the researchers for diminishing the computational effort and the execution time in critical missions of defence and space technologies. Many of the available methods in international literature suffer from the limitation of retention of the stability of the higher order system in its inheritance models. Few other methods have the disadvantage of framing the interval tables of full order and even the significant methods need the formation of two different tables at length for deriving the numerator and denominator polynomials of the models. Most of the physical applications of the modelling techniques require the matching of time and frequency responses of both the higher order and lower order systems, often fail to attain, but the suggested method guarantees the matching of the responses in addition to retaining the performance indicators such as Time-moments and Markov parameters. The impact of the suggested methodology is highlighted by retaining the Integral Square Error coefficient of the higher order system in its models, unlike other prominent methods available as the interval coefficients of the model become the subset of those of the higher order systems.
Keywords: Continuous Systems, Integral Square Error, Interval System, ISRAM, Kharitnov Polynomials, Model Order Reduction.