基于模糊RBF神经网络的分数阶滑模控制器优化设计Optimization design of fractional-order sliding mode controller based on fuzzy RBF neural network
余潇,黄辉先
摘要(Abstract):
针对神经滑模控制系统中存在的对先验数据依赖性较强的问题,结合RBF神经网络的泛化能力和自学习能力以及模糊推理算法的强适应能力,提出基于模糊RBF神经网络的永磁同步电机分数阶速度控制系统。模糊推理的引入为神经网络的不确定性提供了有效的指导作用,同时,分数阶微积分算子的引入增加了传统滑模控制器的自由度,从而对该控制器进行了进一步的优化。仿真结果表明,相比RBF神经滑模控制器,提出的模糊RBF神经分数阶滑模控制器具有更好的控制性能。
关键词(KeyWords): 永磁同步电机;滑模控制器;RBF神经网络;分数阶;模糊推理;自由度
基金项目(Foundation): 湖南省教育厅重点项目资助(12A136)~~
作者(Author): 余潇,黄辉先
DOI: 10.16652/j.issn.1004-373x.2018.11.020
参考文献(References):
- [1]高为炳.变结构控制的理论及设计方法[M].北京:科学出版社,1996.GAO Weibing.Theory and design method of variable structure control[M].Beijing:Science Press,1996.
- [2]陈杰,李志平,张国柱.不确定非线性系统的高阶滑模控制器设计[J].控制理论与应用,2010,27(5):563-569.CHEN Jie,LI Zhiping,ZHANG Guozhu.Design of high order sliding mode controller for uncertain nonlinear systems[J].Control theory and application,2010,27(5):563-569.
- [3]BELTRAN B,AHMED-ALI T,BENBOUZID M.High order sliding mode control of variable speed wind turbines[J].IEEE transactions on industrial electronics,2009,56(9):3314-3321.
- [4]FRANCESCO D,ANTONELLA F.Higher order sliding mode controllers with optimal reaching[J].IEEE transactions on automatica control,2009,54(9):98-104.
- [5]李政,胡广大,崔家瑞,等.永磁同步电机调速系统的积分型滑模变结构控制[J].中国电机工程学报,2014,34(3):431-437.LI Zheng,HU Guangda,CUI Jiarui,et al.Integral sliding mode variable structure control of permanent magnet synchronous motor speed control system[J].Proceedings of the CSEE,2014,34(3):431-437.
- [6]HAN H C.LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems[J].IEEE transactions on automatic control,2007,52(4):736-742.
- [7]王丽梅,郑浩,贾启.永磁同步平面电动机的滑模控制器设计[J].电机与控制学报,2014,18(7):101-106.WANG Limei,ZHENG Hao,JIA Qi.Design of sliding mode controller for permanent magnet synchronous planar motor[J].Journal of motor and control,2014,18(7):101-106.
- [8]刘治钢,王军政,赵江波.永磁同步电机神经网络自适应滑模控制器设计[J].电机与控制学报,2009,13(2):290-295.LIU Zhigang,WANG Junzheng,ZHAO Jiangbo.Design of adaptive sliding mode controller for permanent magnet synchronous motor neural network[J].Journal of motor and control,2009,13(2):290-295.
- [9]HSIAO M Y,Li T H S,LEE J Z,et al.Design of interval type-2 fuzzy sliding-mode controller[J].Information sciences,2008,178(6):1696-1716.
- [10]逄海萍,江姝妍.伺服系统模糊滑模控制器的设计与仿真[J].系统仿真学报,2005,17(12):2972-2974.PANG Haiping,JIANG Shuyan.Design and simulation of fuzzy sliding mode controller for servo systems[J].Journal of system simulation,2005,17(12):2972-2974.