Jaya optimization-based approximation of LTI systems using stability equations

Abstract

This article presents a novel hybrid approach by integrating Jaya optimization and stability equations (SEs) benefits for simplifying complex and high-order linear time-invariant (LTI) systems. The proposed method employs SEs to compute the coefficients of the reduced-order denominator polynomial while the numerator polynomial of the reduced model is calculated by Jaya optimization via minimizing the fitness function. Three test systems are examined to assess the performance of the proposed approach over existing approaches. Both continuous and discrete time LTI systems are considered in this work for completeness. Furthermore, a performance indices-based numerical analysis is included to demonstrate the superiority of the proposed method.