DC Motor Speed Control Using Hybrid PID-Fuzzy with ITAE Polynomial Initiation

H. Wibawa, O. Wahyunggoro, A. Cahyadi
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Abstract

DC motors are widely applied in industrial sector, especiallyprocesses of automation and robotics. Given its role in the sector, DC motor operation needs to be optimized. One of optimization steps is controlling speed using several control methods, for example conventional PID methods, PID Ziegler Nichols, PID based on ITAE polynomials, and Hybrid PID-Fuzzy. From these methods, Hybrid PID-Fuzzy was chosen as a method to be proposed in this paper because it can anticipate shortcomings of PID controllers and fuzzy controllers so as to produce system responses that are fast and adaptive to errors. This paper aimed to design a Hybrid PID-Fuzzy system based on ITAE polynomials (Hybrid-ITAE), to analyze its performance parameters values, and tp compare Hybrid-ITAE performance with conventional PID method. Working parameters being reviewed include overshoot, rise time, settling time, and ITAE. First of all, JGA25-370 DC motor was modeled in a form of a third order transfer function equation. Based on the transfer function, PID parameters were calculated using PID Output Feedback and ITAE polynomial methods. The best ITAE polynomial PID controllers were then be combined with a Fuzzy Logic Controller to form a Hybrid-ITAE system. Simulation and experimental stages were carried out in two conditions, namely no load and loaded. Simulation and experimental results showed that Hybrid-ITAE (l = 0.85) was the best controller for no-load simulation conditions. For loaded simulation Hybrid-ITAE (l=1) was a better controller. In no-loads experiment, the best controller was Hybrid PID-Ziegler Nichols, while for loaded condition the best controller was Hybrid PID-Ziegler Nichols.
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基于ITAE多项式起始的混合pid -模糊直流电机转速控制
直流电机广泛应用于工业领域,特别是自动化和机器人过程。鉴于其在行业中的作用,直流电机的运行需要优化。优化步骤之一是使用几种控制方法控制速度,例如传统PID方法,PID Ziegler Nichols方法,基于ITAE多项式的PID,以及混合PID-模糊控制方法。在这些方法中,本文选择了混合PID-模糊方法,因为它可以预测PID控制器和模糊控制器的缺点,从而产生快速且自适应误差的系统响应。本文旨在设计一种基于ITAE多项式的混合PID-模糊系统(Hybrid-ITAE),分析其性能参数值,并将Hybrid-ITAE与传统PID方法进行性能比较。检查的工作参数包括超调、上升时间、稳定时间和ITAE。首先,将JGA25-370直流电机建模为三阶传递函数方程。基于传递函数,采用PID输出反馈法和ITAE多项式法计算PID参数。然后将最佳ITAE多项式PID控制器与模糊逻辑控制器相结合,形成混合ITAE系统。仿真和实验阶段分别在空载和加载两种工况下进行。仿真和实验结果表明,Hybrid-ITAE (l = 0.85)是空载仿真条件下的最佳控制器。在加载仿真中,Hybrid-ITAE (l=1)是较好的控制器。在空载条件下,最佳控制器为Hybrid PID-Ziegler Nichols;在负载条件下,最佳控制器为Hybrid PID-Ziegler Nichols。
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