利用蜂群算法为 CE152 磁悬浮系统设计稳健的最优比例-积分-微分控制器

Hassan S. Al-Nahhal, Moayed Almobaied
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引用次数: 0

摘要

在工业控制系统中,向控制回路提供反馈的最常用方法之一是比例-积分-派生(PID)控制器。然而,工程师们目前正在研究如何调整 PID 控制器。本研究为 CE152 磁悬浮系统提出了一种稳健的 PID 控制器。磁悬浮通常被称为磁悬浮,是一种利用磁场将汽车或火车等物体悬浮在轨道上的技术。通过利用磁力抵消重力和惯性力,磁悬浮系统可以实现无摩擦运动,与传统的轮式运输相比,速度可能更高。本研究采用参数空间法和边缘定理,在参数不确定的情况下计算仿射线性特征多项式的所有稳定 PID 控制器增益,从而实现鲁棒 PID 控制器。参数空间法的结果是 PID 增益的范围(参数 𝑃 ,参数 𝐷 ,参数 𝐼 )。在此,通过人工蜂群优化算法选择最佳 PID 增益,以获得 CE152 磁悬浮的最佳性能。该研究定义了一个特定的性能指标函数,用于量化系统的时域阶跃响应标准(过冲百分比小,沉降和上升时间显著最小化)。该指数函数与所需的性能标准成反比,旨在优化系统性能。MATLAB 仿真验证并证明了所提出的图形方法在增强磁悬浮系统稳定性方面的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Design a Robust Optimal Proportional-Integral-Derivative Controller for CE152 Magnetic Levitation System Using Bee Colony Algorithm
One of the most popular methods for giving feedback to the control loop in industrial control systems is the proportional-integral-derivative (PID) controller. The tuning of the PID controller, however, is currently being researched by engineers. In this research, a robust PID controller is proposed for the CE152 magnetic levitation system. Magnetic levitation, commonly referred to as maglev, is a technology that uses magnetic fields to levitate an object, such as a vehicle or train, above a track. By using magnetic forces to counteract gravitational and inertial forces, maglev systems can achieve frictionless movement and potentially higher speeds compared to conventional wheeled transportation. In this research, the robust PID controller is involved by computing all stabilized PID controller gains for the affine linear characteristic polynomial in the presence of uncertain parameters using the parameter space approach and the edge theorem. The results of the parameter space approach are ranges of PID gains (𝐾 𝑃 , 𝐾 𝐷 , 𝐾 𝐼 ) . Here, the optimal PID gains were chosen by the Artificial Bee Colony optimization algorithm to get optimal performance for CE152 magnetic levitation. The research defines a specific performance index function that quantifies the system's time-domain step response criteria (small overshoot percentage with significant minimization of both settling and rising times). This index function is inversely proportional to the desired performance criteria, aiming to optimize the system's performance. MATLAB simulations are used to validate and demonstrate the efficiency of the proposed graphical method for enhancing stability in the maglev system.
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