Analysis of multivariable objective functions for the PID controller tuned by a radial movement optimization


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SAMUK D. C., cakır o.

Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, cilt.29, sa.1, ss.23-29, 2023 (ESCI) identifier

Özet

In this study, a second order plus dead time (SOPDT) test system was designed in MATLAB/Simulink platform to analyze the performance of multivariable objective functions (MOFs). These functions consisted of classical error-based objective functions (CEBOFs): integral of time-weighted absolute error, integral of squared error, integral of absolute error, integral of time-weighted squared error, and transient state parameters: maximum percentage overshoot and settling time which has 𝑤1 and 𝑤2 coefficients, respectively. A proportional integral derivative (PID) controller was employed to control the SOPDT system. In the optimization process, the radial movement optimization (RMO) algorithm was used to tune PID controller parameters. To demonstrate the performance of MOFs, numerical and graphical results were presented in the study, where settling time, maximum percentage overshoot, rise time, peak time and steady state error were given. The obtained results clearly showed that MOFs had a better performance than all CEBOFs in settling time and overshoot value. RMO algorithm also had a robust convergence rate and speed, proving the best optimal solution for all MOFs in the first seven iterations.