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自聚合飞蛾火焰优化算法对PID参数优化研究
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国家自然科学基金面上项目(51975130);辽宁省自然科学基金项目(20180550002);辽宁省重点研发计划项目(2017225016)


Research on Optimization of PID Parameters by Self-Aggregating Moth Flame Optimization Algorithm
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    摘要:

    PID控制器的控制对象通常具有高阶非线性等特点,在参数整定时容易使控制器出现超调、振荡、性能变差等缺陷。为解决此问题,提出一种自聚合飞蛾火焰优化(SMFO)算法对PID参数进行优化。在常规飞蛾火焰优化(MFO)算法中引入萤火虫算法中的光强吸引特性,以提高算法的寻优性能。采用高斯分布对火焰种群适宜个体进行选取,其利用光强吸引特性周期性地对适宜火焰的位置进行调整,强化火焰之间的联系,增强算法的局部勘探能力。将改进算法用于PID控制参数优化实验,以PID参数作为算法中的个体,以ITAE为适应度函数,进行PID参数优化。仿真结果表明:SMFO算法具有较好的寻优性能,相比于MFO算法和Z-N法,其超调量至少减少26.3%、调节时间至少减少69.6%,保证了控制系统的稳定性。

    Abstract:

    The control object of the PID controller often has the characteristics of highorder nonlinearity. It is easy to make the controller overshoot, oscillate, and deteriorate performance when the parameters are adjusted. To solve this problem, a selfaggregating moth flame optimization(SMFO) algorithm was proposed to optimize the PID parameters. The light intensity attraction characteristic of firefly algorithm was introduced into the conventional moth flame optimization(MFO) algorithm to improve the optimization performance.The Gaussian distribution was used to select suitable individuals in the flame population, and the position of suitable flames were periodically adjusted by using the light intensity attraction characteristic to strengthen the relationship between the flames and enhance the algorithm’s local exploration capability. The improved algorithm was used in PID control parameter optimization experiments. PID parameters were used as individuals in the algorithm, and the ITAE was used as the fitness function to optimize the PID parameters. Simulation results show that the selfaggregating moth flame optimization algorithm has better performance, compared with the moth flame optimization algorithm and Z-N method, the overshot and adjustment time are reduced by at least 26.3% and 69.6% respectively, which ensures the stability of the control system.

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刘万正,安冬,须颖,邵萌,刘振鹏,邹德芳.自聚合飞蛾火焰优化算法对PID参数优化研究[J].机床与液压,2021,49(16):24-28.
LIU Wanzheng, AN Dong, XU Ying, SHAO Meng, LIU Zhenpeng, ZOU Defang. Research on Optimization of PID Parameters by Self-Aggregating Moth Flame Optimization Algorithm[J]. Machine Tool & Hydraulics,2021,49(16):24-28

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  • 在线发布日期: 2023-03-16
  • 出版日期: 2021-08-28