PID Kontrolörün Kazanç Katsayılarının Optimizasyonu için Farklı Yöntemlerin Karşılaştırılması

Gülten Yilmaz
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Abstract

Proportional-Integral-Derivative (PID) controller is widely used in technical applications due to its robustness and ease of application. The gain values of a PID controller have a strong impact on performance criteria such as settling time, rise time, and overshoot. Systems that possess at least one of these criteria are considered strong control systems. Adjusting the parameters to obtain the best step response of closed loop control systems is a complex operation. While long known methods such as the Ziegler-Nichols (ZN) method were initially used to compute parameter values, today, metaheuristic algorithms are employed. This article focuses on the tuning of gain parameters of a PID controller using metaheuristic algorithms for the control of a system with a third-order transfer function. The proposed algorithms are Fuzzy Logic (FL), Genetic Algorithm (GA), and Particle Swarm Optimization (PSO). The comparison results concluded that GA is the best algorithm for optimization.
不同 PID 控制器增益系数优化方法的比较
比例-积分-微分(PID)控制器因其稳健性和易用性而广泛应用于技术领域。PID 控制器的增益值对稳定时间、上升时间和过冲等性能指标有很大影响。至少具备其中一个标准的系统被认为是强控制系统。调整参数以获得闭环控制系统的最佳阶跃响应是一项复杂的操作。虽然诸如 Ziegler-Nichols (ZN) 方法等众所周知的方法最初被用于计算参数值,但如今,元启发式算法已被采用。本文的重点是使用元启发式算法调整 PID 控制器的增益参数,以控制具有三阶传递函数的系统。提出的算法包括模糊逻辑 (FL)、遗传算法 (GA) 和粒子群优化 (PSO)。比较结果表明,遗传算法是最佳的优化算法。
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