Original scientific paper
https://doi.org/10.1080/00051144.2020.1774724
A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval
Mojtaba Masoumnezhad
; Department of Mechanical Engineering, Faculty of Chamran, Guilan Branch, Technical and Vocational University (TVU), Tehran, Iran
Mohammadhossein Saeedi
; Department of Industrial, Manufacturing and Systems Engineering, Texas Tech University, Lubbock, TX, USA
Haijun Yu
; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People’s Republic of China
Hassan Saberi Nik
; Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran
Abstract
This paper presents a Laguerre homotopy method for quadratic optimal control problems in semi-infinite intervals (LaHOC), with particular interests given to nonlinear interconnected large-scale 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.
Keywords
Laguerre method; collocation method; optimal control problems; spectral homotopy analysis method (SHAM); semi-infinite interval
Hrčak ID:
239886
URI
Publication date:
25.6.2020.
Visits: 684 *