Order Reduction of Continuous Time Linear Interval Systems Using Whale Optimization Algorithm

Abstract

The Whale Optimization Algorithm (WOA) is a nature-inspired metaheuristic optimization algorithm that replicates humpback whale social behaviour. The method of bubble-net hunting inspired the algorithm. In this paper, the decreasing Order Interval System was acquired using WOA from a higher order linear continuous time interval model. The lower order system denominator and numerator polynomials are obtained in this suggested technique by applying WOA to minimise the cost function of Integral Squared Error (ISE). The WOA algorithm outperforms both state-of-the-art meta-heuristic algorithms and traditional approaches in terms of optimization results. The WOA method has been determined to be straightforward, easy to use, and to deliver the best answer. A numerical example from the literature is used to demonstrate the feasibility and usefulness of this WOA.