TY - GEN
T1 - A new DMOC-based approach to solve Goddard rocket problem
AU - Zhang, Jiawei
AU - Zhang, Weizhong
AU - Shan, Jiayuan
PY - 2012
Y1 - 2012
N2 - A new methodology - DMOC (Discrete Mechanics and Optimal Control) is presented to solve the classic Goddard rocket problem. This method 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, which is modelled in AMPL (Advanced Mathematical Programming Language) and solved in a solver named as IPOPT (Interior Point Optimizer). Finally, the DMOC-based approach successfully solves the Goddard rocket problem, which is a terminal free, singular optimal control problem with path constrain; the results are proved reliable and effective by comparison with the results of conventional solution and statistical analysis.
AB - A new methodology - DMOC (Discrete Mechanics and Optimal Control) is presented to solve the classic Goddard rocket problem. This method 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, which is modelled in AMPL (Advanced Mathematical Programming Language) and solved in a solver named as IPOPT (Interior Point Optimizer). Finally, the DMOC-based approach successfully solves the Goddard rocket problem, which is a terminal free, singular optimal control problem with path constrain; the results are proved reliable and effective by comparison with the results of conventional solution and statistical analysis.
KW - AMPL
KW - DMOC
KW - Goddard rocket problem
KW - IPOPT
UR - http://www.scopus.com/inward/record.url?scp=84867596390&partnerID=8YFLogxK
U2 - 10.1109/ICMA.2012.6285678
DO - 10.1109/ICMA.2012.6285678
M3 - Conference contribution
AN - SCOPUS:84867596390
SN - 9781467312776
T3 - 2012 IEEE International Conference on Mechatronics and Automation, ICMA 2012
SP - 2165
EP - 2169
BT - 2012 IEEE International Conference on Mechatronics and Automation, ICMA 2012
T2 - 2012 9th IEEE International Conference on Mechatronics and Automation, ICMA 2012
Y2 - 5 August 2012 through 8 August 2012
ER -