Free final time fractional optimal control problems

被引：37

作者：

Biswas, Raj Kumar ^{[1
]}

Sen, Siddhartha ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect Engn, Kharagpur 721302, W Bengal, India

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 02期

关键词：

HAMILTONIAN-FORMULATION; LINEAR VELOCITIES; NUMERICAL SCHEME;

D O I：

10.1016/j.jfranklin.2013.09.024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A formulation and solution scheme of free final time fractional optimal control problems is presented in this paper. The dynamic constraint is described by a fractional differential equation. Performance index considered is a function of both the state and control variables. The necessary conditions of optimality and the transversality condition are obtained using Lagrange multiplier technique. A numerical technique similar to Shooting method is used for solving the optimal conditions. Numerical example is provided to show the effectiveness of the formulation and numerical solution scheme. It is interesting to note that the final time changes with the interchange of the boundary conditions, which does not occur in classical optimal control problems. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：941 / 951

页数：11

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