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《Flight Dynamics》 2012-02
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Automatic differentiation and its application to trajectory optimization

WANG Chen-xi,LI Xin-guo (College of Astronautics,Northwestern Polytechnical University,Xi'an 710072,China)  
The automatic differentiation(AD) technology combined with an interior point method was used to solve the nonlinear programming problem from a direct collocation method.The automatic differentiation forward mode was adapted to calculate the derivative by the ADOL-C which is a C/C++library based on an operator overloading method.The classical case on reentry trajectory optimization problems of a space shuttle was solved.The automatic differentiation method(ADM) was compared with the finite differentiation method(FDM) respect to derivative efficiency.The results demonstrate that the ADM improves precision and efficiency of derivative information calculation,which can boost both the convergence rate and robustness of NLP numerical algorithm.
【CateGory Index】: V212
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