The reduced-order model (ROM) of large-scale linear time-invariant systems is constructed in this study using a new system abatement technique. The Coulomb’s and Franklin’s law algorithm (CFLA) is used in this study to determine the ROM of a complex single-input, single-output (SISO) system. In control engineering problems, producing a ROM of a complex system using CFLA is relatively simple. This method employs the properties of molecular dynamics to identify the best values of the variables in the search space. The unknown coefficients of ROM are determined by reducing the integral square error (ISE) value between the original system and ROM. This research looks at various examples of different orders for finding ROMs. Finally, various performance indicators were evaluated and represented in tabulated form and bar graphs to assess the efficacy of the proposed methodology. The simplified model for the original higher-order system is also used to design a PID controller. The response of the closed-loop ROM with the PID controller is identical to that of the closed-loop original system with the PID controller. The simulation results are compared to previous well-known research, revealing that the proposed approach produces ROMs that outperform regarding time and frequency response.
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