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非线性动态自适应旋转角的量子菌群算法
引用本文:刘璐,单梁,戴跃伟,戚志东.非线性动态自适应旋转角的量子菌群算法[J].控制与决策,2017,32(12):2137-2144.
作者姓名:刘璐  单梁  戴跃伟  戚志东
作者单位:南京理工大学自动化系,南京210094,南京理工大学自动化系,南京210094,南京理工大学自动化系,南京210094,南京理工大学自动化系,南京210094
基金项目:国家自然科学基金项目(61374153).
摘    要:量子菌群算法是将量子理论引入到细菌觅食算法中的一种相对较新的组合优化算法,虽然该算法在收敛速度上取得了一些重大的进步,但是依然存在寻优时间较长的问题.鉴于此,设计一种非线性动态自适应旋转角,并将其作用于细菌觅食算法的趋化操作,提出一种非线性自适应旋转角的量子菌群算法.基准函数的性能测试验证了该算法的正确性.将所提出算法用于分数阶伺服系统的PID参数整定,整定结果表明,所提出的算法能有效地对伺服系统的PID控制器参数进行整定.

关 键 词:量子理论  菌群算法  旋转角  非线性  分数阶  伺服系统

Nonlinear notation angle for dynamic adaptation in quantum bacterial foraging optimization algorithm
LIU Lu,SHAN Liang,DAI Yue-wei and QI Zhi-dong.Nonlinear notation angle for dynamic adaptation in quantum bacterial foraging optimization algorithm[J].Control and Decision,2017,32(12):2137-2144.
Authors:LIU Lu  SHAN Liang  DAI Yue-wei and QI Zhi-dong
Affiliation:School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China,School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China,School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China and School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China
Abstract:The quantum bacterial foraging algorithm is a relatively new combinatorial algorithm which combines the quantum evolutionary algorithm and the bacterial foraging algorithm. Although the algorithm has made some significant progress in the convergence speed, the algorithm still has the problem of longer searching time. In view of this, a quantum bacterial foraging algorithm with a nonlinear adaptive rotation angle is proposed. The performance test of the benchmark function proves the correctness of the algorithm. The proposed algorithm is applied to tune the PID parameters of the fractional-order servo system. The results show that the proposed algorithm can effectively tune the parameters of the PID controller in the servo system.
Keywords:
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