Whale optimization algorithm with constriction factor and amplitude matching technology for real time lower order modelling

Abstract

Recently developed Whale Optimization Algorithm (WOA) has been enhanced in this paper with Constriction Factor (CF) to clench up the random exploration in the search trajectory. The WOA with CF is experimented by multidimensional benchmark functions and validated in terms of optimum solution and convergence speed. Then it is employed to determine few unknown parameters in the lower order modelling of Linear Time Invariant Discrete Systems (LTIDS) and Linear Time Invariant Continuous Systems (LTICS) for minimum Internal Square Error (ISE) in which, the other unknown parameters were estimated by Laurent-series based amplitude matching technology. The proposed method is implemented to few real systems including Multi Input Multi Output (MIMO) systems.