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切换非线性系统全局优化运行的经济预测控制

杨亚茹 李少远

杨亚茹, 李少远. 切换非线性系统全局优化运行的经济预测控制. 自动化学报, 2017, 43(6): 1017-1027. doi: 10.16383/j.aas.2017.c170112
引用本文: 杨亚茹, 李少远. 切换非线性系统全局优化运行的经济预测控制. 自动化学报, 2017, 43(6): 1017-1027. doi: 10.16383/j.aas.2017.c170112
YANG Ya-Ru, LI Shao-Yuan. Economic Model Predictive Control for Global Optimal Operation of Nonlinear Switching Systems. ACTA AUTOMATICA SINICA, 2017, 43(6): 1017-1027. doi: 10.16383/j.aas.2017.c170112
Citation: YANG Ya-Ru, LI Shao-Yuan. Economic Model Predictive Control for Global Optimal Operation of Nonlinear Switching Systems. ACTA AUTOMATICA SINICA, 2017, 43(6): 1017-1027. doi: 10.16383/j.aas.2017.c170112

切换非线性系统全局优化运行的经济预测控制

doi: 10.16383/j.aas.2017.c170112
基金项目: 

国家自然科学基金 61590924

国家重点基础研究发展计划(973计划) 2013CB035500

国家自然科学基金 61233004

详细信息
    作者简介:

    杨亚茹   上海交通大学电子信息与电气工程学院自动化系博士研究生.2015年获得上海交通大学电子信息与电气工程学院自动化系学士学位.主要研究方向为预测控制.E-mail:yangyr@sjtu.edu.cn

    通讯作者:

    李少远   上海交通大学电子信息与电气工程学院自动化系教授.1997年于南开大学计算机与系统科学系获得博士学位, 2000年在上海交通大学控制科学与工程博士后出站后留校.主要研究方向为自适应控制, 满意优化控制, 预测控制.本文通信作者.E-mail:syli@sjtu.edu.cn

Economic Model Predictive Control for Global Optimal Operation of Nonlinear Switching Systems

Funds: 

National Natural Science Foundation of China 61590924

National Basic Research Program of China (973 Program) 2013CB035500

National Natural Science Foundation of China 61233004

More Information
    Author Bio:

      Ph. D. candidate at Shanghai Jiao Tong University. She received her bachelor degree from Shanghai Jiao Tong University in 2015. Her main research interest is model predictive control

    Corresponding author: LI Shao-Yuan   Professor at the School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University. He received his Ph. D. degree from the Deptartment of Computer and System Science, Nankai University in 1997. He has been a postdoctor in the Department of Automation, Shanghai Jiao Tong University from 2000 to 2002. His research interest covers adaptive control, satisfying optimization, and predictive control. Corresponding author of this paper
  • 摘要: 切换非线性系统在不同模式间平稳切换和经济切换是全局优化运行的主要需求.针对不同模式有限时域下控制算法可行域未必存在交集的系统,提出了对应的经济预测控制算法(Economic model predictive control,EMPC)及切换策略.切换发生时,该方法在实时优化层求解和更新可行中间点,并构造基于耗散的局部EMPC辅助性能指标,在考虑中间点稳定性问题上使其尽可能逼近原经济性能.在先进控制层,利用局部EMPC将状态逐次稳定至中间点,同时利用中间点问题得到的最优轨迹保证模式间的经济切换.最后,分析了切换过程的暂态经济性.该方法实际可操作性强,仿真结果说明了方法的有效性.
  • 图  1  模式间切换策略

    Fig.  1  Modes switching strategy

    图  2  $({\pmb x}_i^s,u_i^s)$ 在不同控制器下的稳定性

    Fig.  2  Stability of $({\pmb x}_i^s,u_i^s)$ under different controller

    图  3  $({\pmb x}_{i+1}^*,u_{i+1}^*)$ 在不同控制器下的稳定性

    Fig.  3  Stability of $({\pmb x}_{i+1}^*,u_{i+1}^*)$ under different controller

    图  4  采用NMPC及所提策略控制下的切换轨迹

    Fig.  4  Comparing between proposed method and NMPC

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出版历程
  • 收稿日期:  2017-03-02
  • 录用日期:  2017-05-06
  • 刊出日期:  2017-06-20

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