1. Optimization of Glide Trajectory of Guided Bombs Using a Radau Pseudo-spectral Method.
- Author
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YUAN Yan-bo, ZHANG Ke, and XUE Xiao-dong
- Subjects
- *
GUIDED bombs , *MATHEMATICAL optimization , *NONLINEAR programming , *SPECTRUM analysis , *SIMULATION methods & models - Abstract
The problem of optimizing the maximum range of a glide guided bomb is studied based on the principle of solving optimal control problems using the Radau pseudo-spectral method. The dynamic model of the guided bomb is nondimensionalized. Combining with the Pontryagin minimum principle, the analytic solution of the optimal control and the first-order necessary condition are derived. The trajectory optimization problem is translated to a nonlinear programming via the Radau pseudo-spectral method. Based on covector mapping principle, an optimality verification method is presented for the numerical solution. Simulation results show that the Radau pseudo-spectral method can provide a highly valuable optimal solution for engineering application. Compared with the conventional maximum lift-to-drag ratio gliding trajectory, the trajectory after optimization can be extended by more than 10%. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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