A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval
文献类型：期刊论文
| 作者 | Masoumnezhad, Mojtaba3; Saeedi, Mohammadhossein5; Yu, Haijun2,4 ; Nik, Hassan Saberi1
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| 刊名 | AUTOMATIKA
 |
| 出版日期 | 2020 |
| 卷号 | 61期号:3页码:461-474 |
| 关键词 | Laguerre method collocation method optimal control problems spectral homotopy analysis method (SHAM) semi-infinite interval |
| ISSN号 | 0005-1144 |
| DOI | 10.1080/00051144.2020.1774724 |
| 英文摘要 | This paper presents a Laguerre homotopy method for quadratic optimal control problems in semi-infinite intervals (LaHOC), with particular interests given to nonlinear interconnected largescale dynamic systems. In LaHOC, the spectral homotopy analysis method is used to derive an iterative solver for the nonlinear two-point boundary value problem derived from Pontryagin's maximum principle. A proof of local convergence of the LaHOC is provided. Numerical comparisons are made between the LaHOC, Matlab BVP5C generated results and results from the literature for two nonlinear optimal control problems. The results show that LaHOC is superior in both accuracy and efficiency. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000566495400001 |
| 出版者 | KOREMA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52084]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Nik, Hassan Saberi |
| 作者单位 | 1.Islamic Azad Univ, Dept Math, Neyshabur Branch, Neyshabur, Iran 2.Acad Math & Syst Sci, Beijing, Peoples R China 3.Tech & Vocat Univ TVU, Fac Chamran, Dept Mech Engn, Guilan Branch, Tehran, Iran 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 5.Texas Tech Univ, Dept Ind Mfg & Syst Engn, Lubbock, TX 79409 USA |
| 推荐引用方式 GB/T 7714 | Masoumnezhad, Mojtaba,Saeedi, Mohammadhossein,Yu, Haijun,et al. A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval[J]. AUTOMATIKA,2020,61(3):461-474. |
| APA | Masoumnezhad, Mojtaba,Saeedi, Mohammadhossein,Yu, Haijun,&Nik, Hassan Saberi.(2020).A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval.AUTOMATIKA,61(3),461-474. |
| MLA | Masoumnezhad, Mojtaba,et al."A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval".AUTOMATIKA 61.3(2020):461-474. |
入库方式： OAI收割
来源：数学与系统科学研究院
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