A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval

doi:10.1080/00051144.2020.1774724

	A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval
	Masoumnezhad, Mojtaba 1; Saeedi, Mohammadhossein 2; Yu, Haijun3,4 ; Nik, Hassan Saberi 5
	2020
发表期刊	AUTOMATIKA
ISSN	0005-1144
卷号	61 期号:3 页码:461-474
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.
关键词	Laguerre method collocation method optimal control problems spectral homotopy analysis method (SHAM) semi-infinite interval
DOI	10.1080/00051144.2020.1774724
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000566495400001
出版者	KOREMA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52085
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.Tech & Vocat Univ TVU, Fac Chamran, Dept Mech Engn, Guilan Branch, Tehran, Iran 2.Texas Tech Univ, Dept Ind Mfg & Syst Engn, Lubbock, TX 79409 USA 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Acad Math & Syst Sci, Beijing, Peoples R China 5.Islamic Azad Univ, Dept Math, Neyshabur Branch, Neyshabur, Iran
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.