河北科技师范学院学报2024,Vol.38Issue(2) :73-80.DOI:10.3969/J.ISSN.1672-7983.2024.02.011

在线优化可变基的非线性预测函数控制

Nonlinear Predictive Function Control of Variable Basis Function with Online Optimization

侯小秋 李丽华
河北科技师范学院学报2024,Vol.38Issue(2) :73-80.DOI:10.3969/J.ISSN.1672-7983.2024.02.011

在线优化可变基的非线性预测函数控制

Nonlinear Predictive Function Control of Variable Basis Function with Online Optimization

侯小秋 1李丽华1
扫码查看

作者信息

  • 1. 黑龙江科技大学电气与控制工程学院,黑龙江哈尔滨,150022
  • 折叠

摘要

针对基本预测函数控制只能用于线性系统控制的这一不足,给出基于实用随机NARMAX模型的非线性预测函数控制,采用可克服算法病态的非线性递推最小二乘法进行参数估计,利用在工作点处的动态切平面逼近方法,将实用随机NARMAX模型用线性时变CARMAX模型逼近,使非线性预测函数控制转化为线性模型下的预测函数控制,用线性优化算法求解控制输入,避免了复杂的非线性优化问题,并采用直接极小化指标函数优化算法对可变基函数的加权系数进行在线优化,提出在线优化参数的非线性预测函数控制.仿真研究表明,因算法具有优化可变基函数加权系数和预测函数控制功能,系统具有优良的控制响应.

Abstract

A nonlinear predictive function control based on practical random NARMAX model was developed so that the basic predictive function control can be applied but not limited to linear system control.The model parameter were estimated with the nonlinear recursive least squares method of overcoming algorithmic ill condi-tion,The original practical random NARMAX model was approximated into a linear time-varying CARMAX model with the method of dynamic cutting horizontal approximating at working point to transform the nonlinear predictive function to the linear predictive function control.The linear optimization algorithm improved compli-cated nonlinear optimization in control input,The weighting coefficient of variable basis function was optimized online with the direct minimization of index function optimization algorithm,and a nonlinear predictive func-tion control with online optimization parameter was proposed.Simulation results showed that the control re-sponse of the system was excellent due to the algorithm's optimized variable basis weighting coefficient and predictive function control.

关键词

预测函数控制/非线性控制/随机NARMAX模型/可变基函数/直接极小化指标函数优化算法

Key words

Predictive function control/nonlinear control/random NARMAX model,variable basis function/optimization algorithm for direct minimization of index function

引用本文复制引用

出版年

2024
河北科技师范学院学报
河北科技师范学院

河北科技师范学院学报

影响因子:0.414
ISSN:1672-7983
段落导航相关论文