Performance Analysis of an Improved Particle Swarm Optimization and the Standard Particle Swarm Optimization

Patrick O. M. Ogutu, Dr. Nicholas Oyie, Dr. Winston Ojenge
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Abstract

Many industries employ different modes of control when it comes to PID parameter tuning. The problem of tuning a control system for linear and nonlinear systems has been undertaken by previous authors however the level of error reduction in the system performance has not been done quite well, hence the study on improved particle swarm optimization using improved Algorithm for PID parameter tuning. This paper tackled optimization of PID parameters based on improved PSO algorithm for the non-linear system. The particle swarm optimization is used to tune the PID parameters to ensure improved system response and operation. The PSO was deployed in a nonlinear system for application and validation of results achieved through PID tuning of the standard parameters on the MATLAB Simulink platform. The study ensured that the PID parameters were effectively tuned by applying improved PSO Algorithm to the plant process. The research used a standard nonlinear system depicting the real-life situation and an Improved Particle Swarm Optimization Algorithm to analyze and compare the improved behavior on the MATLAB/Simulink toolbox as applied to the PID parameters. Finally, it was logically realized that an improved PSO Algorithm system response was much better in comparison with the non-PSO tuned system. The simulation was performed on the plant transfer function using the MATLAB and Simulink platforms at various parameter choices and situations, and realizations were made from the data obtained. As the iteration was increased from 10, 50, and 100, there was a significant reduction in ITAE error from 0.054806 to a minimum of 0.01900, which is far better than the SPSO algorithm. SPSO reduces the error from 0.065143 to 0.020476. It was noted that the system behavior was far better in terms of settling time and peak overshoot for IPSO.
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改进粒子群算法与标准粒子群算法的性能分析
当涉及到PID参数整定时,许多行业采用不同的控制模式。前人已经研究过线性和非线性控制系统的整定问题,但对系统性能的误差减小程度做得不是很好,因此研究了利用改进的粒子群算法进行PID参数整定的改进粒子群算法。本文研究了基于改进粒子群算法的非线性系统PID参数优化问题。采用粒子群算法对PID参数进行整定,保证了系统的响应性能和运行性能。将该粒子群部署在一个非线性系统中,在MATLAB Simulink平台上对标准参数的PID整定结果进行了应用和验证。将改进的粒子群算法应用于对象过程,保证了PID参数的有效整定。研究采用描述现实情况的标准非线性系统和改进的粒子群优化算法,在MATLAB/Simulink工具箱中分析和比较改进后的PID参数行为。最后,从逻辑上认识到,改进的粒子群算法的系统响应比非粒子群调谐的系统要好得多。利用MATLAB和Simulink平台对不同参数选择和情况下的植物传递函数进行了仿真,并根据得到的数据进行了实现。随着迭代次数从10次、50次和100次增加,ITAE误差从0.054806显著降低到最小0.01900,远优于SPSO算法。SPSO将误差从0.065143减小到0.020476。值得注意的是,在IPSO的稳定时间和峰值超调方面,系统行为要好得多。
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