Reduction of discrete interval systems through fuzzy-C means clustering with dominant pole retention

The work carried out here, introduces an improved mixed method for order reduction of interval systems based on Fuzzy C-Means (FCM) clustering algorithm along with Pade Approximation method. In proposed technique for a given interval system the reduced order denominator is constructed through FCM clustering using dominant pole approach. The added impact of these two approaches tries to capture the most of essential characteristics of original higher order system. The reduced order model numerator is approximated using Pade approximation with determination of optimized ‘r’ time moments of the higher order interval system belonging to its reduced order system, here ‘r’ is the order of reduced order interval system (ROIS).