基于准ARX模型和SVR算法的非线性系统切换控制  

Switching Control of Nonlinear Systems Based on the Quasi-ARX Model and the SVR Algorithm

作　　者：王兰 董宜平 曹进德 WANG Lan;DONG Yiping;CAO Jinde(Department of Fundamental Courses,Wuxi Insitute of Technology,Wuxi,Jiangsu 214121,P.R.China;China Key System Co.Ltd.,Wuxi,Jiangsu 214063,P.R.China;School of Mathematics,Southeast University,Nanjing 211189,P.R.China)

机构地区：[1]无锡职业技术学院基础课部,江苏无锡214121 [2]中科芯集成电路有限公司,江苏无锡214063 [3]东南大学数学学院,南京211189

出　　处：《应用数学和力学》2022年第11期1281-1287,共7页Applied Mathematics and Mechanics

基　　金：江苏省政策引导类计划(国际科技合作)项目(BZ2018031);江苏省“333”工程项目(BRA2018313)。

摘　　要：该文基于改进的含有外部输入项的准线性自回归(准ARX)径向基函数(RBF)网络模型和支持向量回归(SVR)算法,提出了一种非线性切换控制方法.改进的准ARX模型非线性部分采用RBF网络.控制系统设计过程分为三个部分:首先,利用聚类方法确定模型的非线性参数;然后,采用线性SVR算法来解决控制系统的鲁棒性问题;接下来,基于控制误差给出切换判定函数,确定切换律给出控制序列.最后通过数值仿真验证了该方法的有效性.A nonlinear switching control method was proposed based on an improved quasilinear autoregressive with exogenous inputs(quasi-ARX)radial basis function(RBF)network model and the support vector regression(SVR)algorithm.The RBF network was chosen as the nonlinear part of the improved quasi-ARX prediction model.The proposed controller design method was divided into 3 steps:firstly,the nonlinear parameters of the model were determined with the clustering method;secondly,the linear SVR algorithm was used to solve the robustness problem of the control system;thirdly,the switching criterion function was given based on the control error,and the control sequence were determined according to the switching law.Finally,a numerical example was given to verify the effectiveness of the proposed method.

关 键 词：准ARX模型 稳定性 支持向量回归 非线性切换控制 

分 类 号：O231.2[理学—运筹学与控制论]