Numerical Solution of a Class of Nonlinear Optimal Control Problems

被引：0
|
作者：
Alavi, S. A. Saeed [1 ]
Heydari, Aghileh [1 ]
机构：
[1] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2015年 / 9卷 / 02期
关键词：
two-point boundary value problems; spectral methods; parametric iteration method; direct and indirect approaches;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a numerical approach for solving a class of nonlinear optimal control problems is presented. This approach is a combination of a spectral collocation method and the parametric iteration method. As will be shown, the proposed indirect strategy provides good approximations of all variables i.e. control, state and costate as opposed to the many direct methods. Several examples are considered to assess the accuracy and features of the presented method.
引用
收藏
页码：259 / 275
页数：17
相关论文
共 50 条
  • [31] NUMERICAL SOLUTION TO OPTIMAL CONTROL PROBLEMS OF OSCILLATORY PROCESSES
    Aida-Zade, Kamil
    Asadova, Jamila
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2022, 18 (06) : 4433 - 4445
  • [32] Numerical solution of constrained optimal control problems with parameters
    Fabien, BC
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1996, 80 (01) : 43 - 62
  • [33] On Numerical Solution of Singularly Perturbed Optimal Control Problems
    Vladimir Gaitsgory
    Matthias Gerdts
    [J]. Journal of Optimization Theory and Applications, 2017, 174 : 762 - 784
  • [34] On Numerical Solution of Singularly Perturbed Optimal Control Problems
    Gaitsgory, Vladimir
    Gerdts, Matthias
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (03) : 762 - 784
  • [35] The geometry of the solution set of nonlinear optimal control problems
    Osinga, Hinke M.
    Hauser, John
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2006, 18 (04) : 881 - 900
  • [36] The Geometry of the Solution Set of Nonlinear Optimal Control Problems
    Hinke M. Osinga
    John Hauser
    [J]. Journal of Dynamics and Differential Equations, 2006, 18 : 881 - 900
  • [37] Nonlinear approximations for the solution of team optimal control problems
    Baglietto, M
    Parisini, T
    Zoppoli, R
    [J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 4592 - 4594
  • [38] An Optimal Solution to Infinite Horizon Nonlinear Control Problems
    Mohamed, Mohamed Naveed Gul
    Goyal, Raman
    Chakravorty, Suman
    [J]. 2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 1643 - 1648
  • [39] ANALYTIC-APPROXIMATE SOLUTION FOR A CLASS OF NONLINEAR OPTIMAL CONTROL PROBLEMS BY HOMOTOPY ANALYSIS METHOD
    Effati, Sohrab
    Nik, Hassan Saberi
    Shirazian, Mohammad
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2013, 6 (02)
  • [40] Numerical solution of nonlinear periodic optimal control problems using a Fourier integral pseudospectral method
    Elgindy, Kareem T.
    [J]. Journal of Process Control, 2024, 144
12345