A Laguerre homotopy method for optimal control of nonlinear systems in semi-infinite interval
For researchers working on optimal control of nonlinear systems, this method offers improved accuracy and efficiency, though it is an incremental improvement over existing homotopy and spectral methods.
The paper introduces a Laguerre homotopy method (LaHOC) for solving optimal control problems in semi-infinite intervals, particularly for nonlinear interconnected large-scale systems. Numerical comparisons show LaHOC outperforms Matlab BVP5C and literature results in accuracy and efficiency.
This paper presents a Laguerre homotopy method for optimal control problems in semi-infinite intervals (LaHOC), with particular interests given to nonlinear interconnected large-scale dynamic systems. In LaHOC, spectral homotopy analysis method is used to derive an iterative solver for the nonlinear two-point boundary value problem derived from Pontryagins 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 literature for two nonlinear optimal control problems. The results show that LaHOC is superior in both accuracy and efficiency.