Artificial bee colony with predator effect algorithm for proportional integral derivative controller tuning

Nirbhow Jap Singh, Vikram Chopra, Sandeep Pandey
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Abstract

This paper proposes a novel artificial bee colony with predation effect (ABCPE) algorithm for tuning a proportional integral derivative (PID) controller. The mathematical model of ABCPE algorithm to introduce predator effect in the foraging behavior of artificial bees colony algorithm has been formulated. The proposed algorithm has been tested on tuning problems of different process models. The simulation results reveal that the closed-loop responses are relatively fast and non-oscillatory as compared to the frequency response analysis method for reference tracking. Further, the results obtained using ABCPE are also compared with other evolutionary algorithms. The exhaustive analysis shows that the ABCPE-based solution approach leads to a set of tuning parameters having smaller overshoot, less setting time, and rise time compared to other solution approaches. The stability analysis using Nichols plot reveals that the phase margin of proposed algorithm is higher as compared to other tuning methods. Finally, the convergence behavior and robustness analysis reveals the effectiveness of the proposed approach to solve engineering design problems.
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用于比例积分导数控制器调整的人工蜂群捕食者效应算法
本文提出了一种新颖的人工蜂群捕食效应(ABCPE)算法,用于调整比例积分导数(PID)控制器。本文建立了 ABCPE 算法的数学模型,在人工蜂群算法的觅食行为中引入捕食者效应。所提出的算法已在不同过程模型的调节问题上进行了测试。仿真结果表明,与用于参考跟踪的频率响应分析方法相比,闭环响应相对较快且无振荡。此外,ABCPE 所获得的结果还与其他进化算法进行了比较。详尽的分析表明,与其他求解方法相比,基于 ABCPE 的求解方法得出的一组调整参数具有较小的过冲、较少的设定时间和上升时间。使用 Nichols 图进行的稳定性分析表明,与其他调整方法相比,建议算法的相位裕度更高。最后,收敛行为和鲁棒性分析揭示了所提方法在解决工程设计问题方面的有效性。
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