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The code is for the manuscript:
Higher Derivative Methods for Hamiltonian Boundary Value Control Problems
Dayaram Sonawane, Jerry Chen, Venkatasailanathan Ramadesigan, Kishalay Mitra, and Venkat R. Subramanian
Abstract
This paper presents an algorithm based on Higher Derivative Method (HDM) for the indirect solution of equality constrained optimal control problems. The first order necessary conditions for the indirect formulation of such problems leads to two-point boundary value problems (BVPs). The HDM approach uses nth derivative to get 2n order accuracy at each node. The proposed HDM approach enables high accuracy with small number of elements/nodes in the discretization. Examples are presented to illustrate the efficacy of the proposed HDM approach.
Examples
Code: HDM.txt
The hypersensitive HBVP problem is taken form this paper.
Ref: Rao, A. V. and Mease, K. D. (2000), Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems. Optim. Control Appl. Meth., 21: 1–19.
Demo for tf =25 [mws][pdf]
Note:
- Please put the code and the *.mws file under the same directory or redirect the code to “HDM.txt” file.
- *.mws file is executable by Maple (Maplesoft)
- Right click on the link and choose "save link as ..." to download the Maple codes
Please feel free to contact Dr. Venkat Subramanian for any comments.
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