作者
Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, Raúl Alcaraz, José Francisco Gómez-Aguilar, Stelios Bekiros, Yu-Ming Chu
发表日期
2020/11
期刊
Entropy
卷号
22
期号
11
页码范围
1213
出版商
Multidisciplinary Digital Publishing Institute
简介
A novel approach to solve optimal control problems dealing simultaneously with fractional differential equations and time delay is proposed in this work. More precisely, a set of global radial basis functions are firstly used to approximate the states and control variables in the problem. Then, a collocation method is applied to convert the time-delay fractional optimal control problem to a nonlinear programming one. By solving the resulting challenge, the unknown coefficients of the original one will be finally obtained. In this way, the proposed strategy introduces a very tunable framework for direct trajectory optimization, according to the discretization procedure and the range of arbitrary nodes. The algorithm’s performance has been analyzed for several non-trivial examples, and the obtained results have shown that this scheme is more accurate, robust, and efficient than most previous methods.
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