Esmail Hesameddini - Department of Applied Mathematics, Faculty of Basic Sciences Shiraz University of Technology, Shiraz, Iran. Alireza Fakharzadeh Jahromi - Department of Applied Mathematics, Faculty of Basic Science, Shiraz University of Technology, Shiraz, Iran. Mohammad Soleimanivareki - Department of Mathematics, Faculty of Basic Sciences, Islamic Azad university–science research Ayatollah Amoli branch,Amol, Iran. Hajar Alimorad - Department of Applied Mathematics, Ph.D student Shiraz University of Technology, Modarres Blvd.
In this paper, the Differential Transformation Method (DTM) is suggested to solve a class of nonlinear optimal control problems. By applying the DTM, nonlinear two-point boundary value problem (TPBVP) which is derived from the Pontryagin’s maximum principle, will be transformed to a sequence of linear time-invariant TPBVP’s. Comparing the DTM to optimal homotopy perturbation method shows the efficiency and advantages of this method. In this method, a few iterations are required to find a suboptimal trajectory and control pair.
Esmail Hesameddini, Alireza Fakharzadeh Jahromi, Mohammad Soleimanivareki, Hajar Alimorad, Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems, Journal of Mathematics and Computer Science, 5 (2012), no. 1, 67-74
Hesameddini Esmail, Jahromi Alireza Fakharzadeh, Soleimanivareki Mohammad, Alimorad Hajar, Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems. J Math Comput SCI-JM. (2012); 5(1):67-74
Hesameddini, Esmail, Jahromi, Alireza Fakharzadeh, Soleimanivareki, Mohammad, Alimorad, Hajar. "Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems." Journal of Mathematics and Computer Science, 5, no. 1 (2012): 67-74
