@inproceedings{e77e325c049940c8a4b1b2f071ee41ec,
title = "DMOC approach to solve Goddard rocket problem in comparison with RPM",
abstract = "A new approach - DMOC (Discrete Mechanics and Optimal Control) is presented to solve the classic Goddard rocket problem, in comparison with RPM (Radau Pseudospectral Method). DMOC approach firstly discretizes the Lagrange-d'Alembert principle for the rocket system, the resulting forced discrete Euler-Lagrange equations then serve as constraints for the optimization of a given cost functional. Therefore the optimal control problem is converted into a nonlinear programming (NLP) problem. While RPM transcribes the optimal control problem to a NLP problem by parameterizing the state and control using global polynomials and collocating the differential-algebraic equations using nodes obtained from a Gaussian quadrature. Finally, DMOC approach and RPM both successfully solve the Goddard rocket problem, which is a terminal free, singular optimal control problem with path constrain; the results proved that DMOC approach and RPM each have its strong points.",
keywords = "DMOC, Goddard rocket problem, Optimal control, RPM",
author = "Jiawei Zhang and Weizhong Zhang and Jiayuan Shan",
year = "2013",
month = oct,
day = "18",
language = "English",
isbn = "9789881563835",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "2185--2189",
booktitle = "Proceedings of the 32nd Chinese Control Conference, CCC 2013",
address = "United States",
note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",
}