Optimal Fractional Order PID Controller Design for AVR System based on Improved Genetic Algorithm
首发时间:2020-05-21
Abstract:Reviews: Fractional order PID controllers have more flexibility in form and have better control effect when compared with conventional integral order PID controllers. The extra two parameters in fractional order PID controllers not only bring flexibility in controller designing but also challenge in parameter tuning. In this paper we propose an improved genetic algorithm for the tuning of fractional order PID controllers and apply the controllers to the automatic voltage stabilization (AVR) system. A lion group selection operator, which simulates the lion group reproduction mode, is proposed to relieve the contradiction between the convergence speed and premature in the genetic algorithm. In order to eliminate the divergence of parameters in the process of tuning, the penalty function with the maximum value of the controller output is added into the objective function. Numerical experiments show that the improved genetic algorithm-lion group genetic algorithm (LGA) has advantages in convergence speed and avoidance of local optimal solutions. Meanwhile, the parameters of fractional order controllers which are given by LGA under the proposed objective function in this paper have excellent convergence.
keywords: Cybernetics Fractional order PID controller AVR system Genetic algorithm Optimal control
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基于改进遗传算法的AVR系统最优分数阶PID控制器设计
摘要:综述文章:与常规积分PID控制器相比,分数阶PID控制器具有更大的形式灵活性和更好的控制效果。分数阶PID控制器中的额外两个参数不仅在控制器设计中带来了灵活性,而且在参数调整方面也带来了挑战。在本文中,我们提出了一种改进的遗传算法,用于调整分数阶PID控制器,并将该控制器应用于自动电压稳定(AVR)系统。提出了一种模拟狮子群繁殖方式的狮子群选择算子,以缓解遗传算法收敛速度与早熟之间的矛盾。为了消除调整过程中的参数差异,将具有控制器输出最大值的惩罚函数添加到目标函数中。数值实验表明,改进的遗传算法-狮子群遗传算法具有收敛速度快和避免局部最优解的优点。同时,本文提出的目标函数下由LGA给出的分数阶控制器的参数具有很好的收敛性。
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基于改进遗传算法的AVR系统最优分数阶PID控制器设计
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