Numerical method for solving constrained non-linear optimal control using the block pulse functions (BPFs)

被引：0
|
作者：
Boussiala, Noureddine [1 ]
Chaabi, Hafid
Liu, Wenyuan [2 ]
机构：
[1] Skikda Univ Algeria, Dept Electrotech, Skikda, Algeria
[2] Yanshan Univ, Sch Comp Sci & Technol, Qinhuangdao 066004, Hebei, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2008年 / 4卷 / 07期
关键词：
optimal control; block pulse functions; non-linear system;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the block pulse functions (BPFs) are used to solve linear and non-linear optimal control problems subject to terminal state constraints and saturation constraints on control. Based on BPFs, the optimal control problem is transformed to a non-linear programming problem. The resulting non-linear programming problem is solved using SNOPT which is interfaced through MATLAB via an optimization tool called TOMLAB. Concrete examples are studied where the simulation results show the efficiency of this method.
引用
收藏
页码：1733 / 1740
页数：8
相关论文
共 50 条
  • [21] Optimal Control Approach with Block Pulse Functions
    Aousgi, Ines Sansa
    Elloumi, Salwa
    Braiek, Naceur Benhadj
    14TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL & COMPUTER ENGINEERING STA 2013, 2013, : 331 - 336
  • [22] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Ghiat, Mourad
    Tair, Boutheina
    Ghuebbai, Hamza
    Kamouche, Soumia
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
  • [23] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Mourad Ghiat
    Boutheina Tair
    Hamza Ghuebbai
    Soumia Kamouche
    Computational and Applied Mathematics, 2023, 42
  • [24] Chebyshev inclusion functions based symplectic algorithm for solving non-linear optimal control problem with interval uncertainty
    Li, Chao
    Peng, Haijun
    Zhang, Sheng
    Chen, Biaosong
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (04) : 1343 - 1369
  • [25] A New Solving Method for Non-Linear Optimal Control Problem and Its Application to Automatic Berthing Problem
    Mizuno, N.
    Kita, T.
    Ishikawa, T.
    IECON 2018 - 44TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2018, : 2183 - 2188
  • [26] Application of genetic algorithm to high dimensional non linear optimal control via the block pulse functions (BPF)
    Department of Electrotechnics, University of Skikda, Constantine, Algeria
    不详
    WSEAS Trans. Syst., 2006, 4 (886-891):
  • [27] Optimal constrained non-linear control of batch processes: Application to corn drying
    Trelea, IC
    Trystram, G
    Courtois, F
    JOURNAL OF FOOD ENGINEERING, 1997, 31 (04) : 403 - 421
  • [28] Constrained optimal stochastic control of non-linear wave energy point absorbers
    Sichani, M. T.
    Chen, J. B.
    Kramer, M. M.
    Nielsen, S. R. K.
    APPLIED OCEAN RESEARCH, 2014, 47 : 255 - 269
  • [29] A generalization of the method of averaging for the optimal control of non-linear oscillations
    Akulenko, LD
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2005, 69 (01): : 1 - 11
  • [30] Solving non-linear optimal stopping problems by the method of time-change
    Pedersen, JL
    Peskir, G
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2000, 18 (05) : 811 - 835
12345