State Difference Sensitivity-based Control Vector Parameterization Refinement Approach for Optimal Control Problems

被引：0
|
作者：
Qiu, Guoqing [1 ]
Liu, Hang [1 ]
Nie, Chuanjie [1 ]
Fan, Li [1 ]
Liu, Ping [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Chongqing, Peoples R China
来源：
2019 CHINESE AUTOMATION CONGRESS (CAC2019) | 2019年
关键词：
Control vector parameterization; State Difference Sensitivity; time grid; optimal control; OPTIMIZATION;
D O I：
10.1109/cac48633.2019.8997041
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
To improve the optimization performance of control vector parameterization (CVP) method for optimal control problems, a refinement CVP method based on the state difference sensitivity is proposed. According to the influence of the state vector on the control vector, the state difference of the adjacent time grid nodes makes the control vector sensitive, so new time grid nodes can be selected. Finally, the control parameters obtained with the non-uniform grid are analyzed accordingly. A new NLP problem is obtained with the refined time grid and simulation tests are carried out on a classical optimal control problem.The results show that the proposed method can effectively shorten the calculation time and increase the calculation accuracy compared with the traditional CVP method.
引用
收藏
页码：1821 / 1825
页数：5
相关论文
共 50 条
  • [1] A new sensitivity-based adaptive control vector parameterization approach for dynamic optimization of bioprocesses
    Liwei Wang
    Xinggao Liu
    Zeyin Zhang
    [J]. Bioprocess and Biosystems Engineering, 2017, 40 : 181 - 189
  • [2] A new sensitivity-based adaptive control vector parameterization approach for dynamic optimization of bioprocesses
    Wang, Liwei
    Liu, Xinggao
    Zhang, Zeyin
    [J]. BIOPROCESS AND BIOSYSTEMS ENGINEERING, 2017, 40 (02) : 181 - 189
  • [3] Control vector parameterization with sensitivity based refinement applied to baking optimization
    Hadiyanto, H.
    Esveld, D. C.
    Boom, R. M.
    Van Straten, G.
    van Boxtel, A. J. B.
    [J]. FOOD AND BIOPRODUCTS PROCESSING, 2008, 86 (C2) : 130 - 141
  • [4] STATE PARAMETERIZATION APPROACH TO THE SOLUTION OF OPTIMAL-CONTROL PROBLEMS
    SIRISENA, HR
    CHOU, FS
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 1981, 2 (03): : 289 - 298
  • [5] A SENSITIVITY-BASED EXTRAPOLATION TECHNIQUE FOR THE NUMERICAL SOLUTION OF STATE-CONSTRAINED OPTIMAL CONTROL PROBLEMS
    Hintermueller, Michael
    Yousept, Irwin
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (03) : 503 - 522
  • [6] A novel non-uniform control vector parameterization approach with time grid refinement for flight level tracking optimal control problems
    Liu, Ping
    Li, Guodong
    Liu, Xinggao
    Xiao, Long
    Wang, Yalin
    Yang, Chunhua
    Gui, Weihua
    [J]. ISA TRANSACTIONS, 2018, 73 : 66 - 78
  • [7] Solving Fractional Optimal Control Problems Using Control Vector Parameterization
    Idiri, Ghania
    Djennoune, Said
    Bettayeb, Maamar
    [J]. 2013 INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2013, : 555 - 560
  • [8] STEADY-STATE SECURITY CONTROL USING A SENSITIVITY-BASED APPROACH
    CHANG, CL
    HSU, YY
    [J]. ELECTRIC POWER SYSTEMS RESEARCH, 1990, 18 (01) : 1 - 10
  • [9] Optimal control for polymer flooding based on control vector parameterization
    Zhang Xiaodong
    Li Shurong
    [J]. Proceedings of the 24th Chinese Control Conference, Vols 1 and 2, 2005, : 903 - 907
  • [10] A Sensitivity-Based Approach for the Control of Repetitive Processes
    Rauh, Andreas
    Senkel, Luise
    Dittrich, Christina
    Aschemann, Harald
    Galkowski, Krzysztof
    Dabkowski, Pawel
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS (ICM), 2013,
12345