引用本文:张雪敏,富月.基于补偿控制的自适应模型预测控制[J].控制理论与应用,2025,42(3):455~462.[点击复制]
ZHANG Xue-min,FU Yue.Adaptive model predictive control based on compensation control[J].Control Theory and Technology,2025,42(3):455~462.[点击复制]
基于补偿控制的自适应模型预测控制
Adaptive model predictive control based on compensation control
摘要点击 49  全文点击 6  投稿时间:2023-05-05  修订日期:2024-10-07
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DOI编号  10.7641/CTA.2023.30292
  2025,42(3):455-462
中文关键词  模型预测控制  补偿控制  自适应控制  参数估计  电熔镁砂
英文关键词  model predictive control  compensation control  adaptive control  parameter estimation  fused magnesia
基金项目  国家自然科学基金项目(62333004, 61991400, 61825301, 61991403)资助.
作者单位E-mail
张雪敏 东北大学 zm60186@163.com 
富月* 东北大学自动研究中心 fuyue@mail.neu.edu.cn 
中文摘要
      针对参数未知、外部干扰未知并且带有输入、输出约束的离散时间仿射非线性系统,本文基于高阶干扰观测器的投影算法与模型预测控制和补偿控制相结合,提出了一种基于补偿控制的自适应模型预测控制方法.利用基于高阶干扰观测器的投影算法对未知参数和外部干扰同步估计,根据干扰观测值和参数估计值设计补偿控制量,使系统输入和输出满足约束条件,从而保证模型预测控制优化问题的可行性,并使系统的输出收敛到标称系统的输出.最后,将所提方法应用到电熔镁砂熔炼过程中电极电流控制的仿真实验中,通过仿真验证所提方法的有效性.
英文摘要
      For discrete-time affine nonlinear systems with unknown system parameters, unknown external disturbances and input and output constraints, an adaptive model predictive control method based on compensation control is proposed by combining compensation control, parameter estimation and model predictive control. The projection algorithm based on high-order disturbance observer is used to estimate the unknown parameters and external disturbance synchronously. According to the disturbance observation values and parameter estimation values, the compensation control variables are designed to make the input and output of the system meet the constraints, thus ensuring the feasibility of the model predictive control optimization problem and making the output of the system converge to the output of the nominal system. Finally, the proposed method is applied to the simulation experiment of electrode current control in fused magnesia smelting process, and the effectiveness of the proposed method is verified by simulation.