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Optimal control of time-delay fractional equations via a joint application of radial basis functions and collocation method

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成果类型:
期刊论文
作者:
Chen, Shu-Bo;Soradi-Zeid, Samaneh;Jahanshahi, Hadi;Alcaraz, Raul*;Gomez-Aguilar, Jose Francisco;...
通讯作者:
Alcaraz, Raul;Chu, Yu-Ming
作者机构:
[Chen, Shu-Bo] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China.
[Soradi-Zeid, Samaneh] Univ Sistan & Baluchestan, Fac Ind & Min Khash, Zahedan 98155987, Iran.
[Jahanshahi, Hadi] Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada.
[Alcaraz, Raul] Univ Castilla La Mancha UCLM, Res Grp Elect Biomed & Telecommun Engn, Cuenca 16071, Spain.
[Gomez-Aguilar, Jose Francisco] CONACyT Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico.
通讯机构:
[Alcaraz, Raul] U
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Univ Castilla La Mancha UCLM, Res Grp Elect Biomed & Telecommun Engn, Cuenca 16071, Spain.
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
语种:
英文
关键词:
Collocation points;Delay system;Direct optimization;Fractional optimal control problem;Nonlinear programming problem;Radial basis function
期刊:
Entropy
ISSN:
1099-4300
年:
2020
卷:
22
期:
11
页码:
1-17
基金类别:
Acknowledgments: The research was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 11401192, 61673169, 11701176, 11626101, 11601485), as well as by the Department of Electrical, Electronic, Automatic, and Communication Engineering, UCLM.
机构署名:
本校为第一机构
摘要:
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 propo...

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