Abstract This paper proposes Henry gas solubility optimization with opposition-based learning (OBL/HGO) as a novel optimization approach for DC motor speed regulation. The proposed approach was used to obtain the best parameters (proportional, integral, derivative) of PID controller by minimizing the integral of time multiplied absolute error (ITAE) as the objective function. The optimized controller was used to regulate the speed of a DC motor. The analysis of statistical tests, convergence profile, performance index, robustness, and disturbance rejection along with transient and frequency responses were all conducted in order to validate the effectiveness of the proposed approach. Also, the performance of the proposed OBL/HGSO tuned PID (OBL/HGSO-PID) controller was not only compared with the PID controller tuned by the original HGSO algorithm but also with other controllers that were tuned by the state-of-the art meta-heuristic algorithms such as atom search optimization (ASO), stochastic fractal search (SFS), grey wolf optimization (GWO) and sine–cosine algorithm (SCA). The conducted simulation results and comparisons with the proposed HGSO-PID controller and other existing controllers have showed that the proposed OBL/HGO-PID controller has superior control performance and excellent robustness even under the conditions of both system uncertainties and load disturbances.

中文翻译：

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基于对偶的亨利气体溶解度优化作为直流电机 PID 控制的新算法

摘要 本文提出了基于对立学习的亨利气体溶解度优化 (OBL/HGO) 作为直流电机调速的一种新型优化方法。所提出的方法通过最小化时间乘绝对误差(ITAE)的积分作为目标函数来获得PID控制器的最佳参数(比例、积分、微分)。优化后的控制器用于调节直流电机的速度。统计测试、收敛曲线、性能指标、鲁棒性和干扰抑制以及瞬态和频率响应的分析都进行了以验证所提出方法的有效性。还，所提出的 OBL/HGSO 调谐 PID (OBL/HGSO-PID) 控制器的性能不仅与由原始 HGSO 算法调谐的 PID 控制器进行了比较，而且还与由最先进的元调谐的其他控制器进行了比较。启发式算法，例如原子搜索优化 (ASO)、随机分形搜索 (SFS)、灰狼优化 (GWO) 和正弦-余弦算法 (SCA)。进行的仿真结果以及与所提出的 HGSO-PID 控制器和其他现有控制器的比较表明，即使在系统不确定性和负载扰动的情况下，所提出的 OBL/HGO-PID 控制器也具有卓越的控制性能和出色的鲁棒性。随机分形搜索 (SFS)、灰狼优化 (GWO) 和正弦-余弦算法 (SCA)。进行的仿真结果以及与所提出的 HGSO-PID 控制器和其他现有控制器的比较表明，即使在系统不确定性和负载扰动的情况下，所提出的 OBL/HGO-PID 控制器也具有卓越的控制性能和出色的鲁棒性。随机分形搜索 (SFS)、灰狼优化 (GWO) 和正弦-余弦算法 (SCA)。进行的仿真结果以及与所提出的 HGSO-PID 控制器和其他现有控制器的比较表明，即使在系统不确定性和负载扰动的情况下，所提出的 OBL/HGO-PID 控制器也具有卓越的控制性能和出色的鲁棒性。