Routh Approximation Based Evolutionary Techniques for Reduced Order Modeling

Monika, Sudhansu Kumar Mishra

Abstract: The aim of the authors is to develop the two mixed Model Order Reduction (MOR) techniques in connection with the reduction of Linear Time-Invariant (LTI) higher order systems. The first technique is particularly based on Routh approximation and Particle Swarm Optimization (PSO) and the second technique is based on Routh approximation and Cuckoo Search Algorithm (CSA). The time and frequency responses of the original and reduced order models were analyzed and plotted for comparison. From the analysis and plots for different examples considered, it is observed that the Reduced Order Model (ROM) obtained by the two mixed proposed techniques provided quite close approximation with the original higher order systems. The newly suggested methods are also justified in that the stability of the ROM provided the original higher order system is stable. Further the proposed techniques are also extended to MIMO systems. Furthermore, to show the effectiveness and superiority of the proposed methods, the obtained results are compared with different reduction methods existing in the literature with reference to IEA, RISE, IAE and ITAE.

Keywords: L Linear Time-Invariant higher order systems, Particle Swarm Optimization, Model Order Reduction, Routh approximation based evolutionary techniques, Cuckoo Search Algorithm, Reduced Order Model

How to Cite?: Monika, Sudhansu Kumar Mishra, "Routh Approximation Based Evolutionary Techniques for Reduced Order Modeling", Volume 14 Issue 7, July 2025, International Journal of Science and Research (IJSR), Pages: 1288-1296, https://www.ijsr.net/getabstract.php?paperid=SR25720160034, DOI: https://dx.doi.org/10.21275/SR25720160034