普通阶与分数阶pid控制器在基于遗传算法的工业系统建模与控制中的比较研究

Mohamed S. Essa, M. Aboelela, M. Hassan
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引用次数: 14

摘要

本文将遗传算法作为一种寻优技术应用于液压伺服系统的经典控制器和分数阶控制器的最优参数求解。根据控制液压伺服系统的物理规律,建立了液压伺服系统的非线性数学模型。众所周知,液压伺服系统在不同领域的工业应用中发挥着重要作用。此外,所研究的液压系统由于油缸与活塞之间的摩擦、流体的可压缩性和阀的动力学而具有非线性效应。由于这些影响,仿真结果表明,当使用分数阶控制器时,它比传统的比例积分导数PID (Proportional-Integral- derivative PID)/比例积分(PI)控制器具有更好的响应,更好的性能指标,更好的抗干扰性能和识别正弦轨迹。
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A comparative study between ordinary and fractional order pid controllers for modelling and control of an industrial system based on Genetic Algorithm
This paper applies the Genetic Algorithm as an optimization technique to find the optimal parameters of classical and fractional order controllers for the Hydraulic Servo System (HSS). It also presents the implementation of a non-linear mathematical model of Hydraulic Servo System based on the physical laws which govern that system. It is known that, the Hydraulic Servo System plays an elegant role in industrial applications in different fields. Furthermore, the studied hydraulic system has a nonlinear effect due to the friction between cylinders and pistons, fluid compressibility and valve dynamics. Due to these effects, the simulation results show that when using fractional order controllers, it gives better response, better performance indices, improved disturbance rejection behaviour, and distinguished sinusoidal trajectory than the conventional Proportional-Integral-Derivative PID)/Proportional-Integral (PI) controllers.
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