Minimum Terminal Energy Optimizations of Hypersonic Vehicles Using Indirect Methods

In this investigation, relevant aerospace problems of interest that involve solutions with minimum terminal energies are solved using indirect methods. The required considerations to solve this class of problems is discussed, and the solutions verify that the phugoiding trajectories of high energy systems satisfy the necessary conditions of optimality. An example footprint analysis and boost-glide reconnaissance application demonstrate the quality of solutions obtained using the indirect methodology. Comparisons with a modern trajectory optimization tool, DIDO, validate the indirect optimization framework used to construct solutions in this investigation.

[1]  Robert D. Braun,et al.  Rapid Indirect Trajectory Optimization for Conceptual Design of Hypersonic Missions , 2015 .

[2]  Cristiana J. Silva,et al.  Smooth Regularization of Bang-Bang Optimal Control Problems , 2010, IEEE Transactions on Automatic Control.

[3]  Anil V. Rao,et al.  Practical Methods for Optimal Control Using Nonlinear Programming , 1987 .

[4]  Anil V. Rao,et al.  Constrained Trajectory Optimization Using Pseudospectral Methods , 2008 .

[5]  D. B. Doman,et al.  Modeling issues in footprint generation for reusable vehicles , 2003, 2003 IEEE Aerospace Conference Proceedings (Cat. No.03TH8652).

[6]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[7]  Richard G. Cobb,et al.  Three-Dimensional Trajectory Optimization Satisfying Waypoint and No-Fly Zone Constraints , 2009 .

[8]  Amitabh Saraf,et al.  Landing Footprint Computation for Entry Vehicles , 2004 .

[9]  Michael J. Grant,et al.  Rapid simultaneous hypersonic aerodynamic and trajectory optimization for conceptual design , 2012 .

[10]  Richard G. Cobb,et al.  Multiple Method 2-D Trajectory Optimization Satisfying Waypoints and No-Fly Zone Constraints , 2008 .

[11]  John T. Betts,et al.  Practical Methods for Optimal Control and Estimation Using Nonlinear Programming , 2009 .

[12]  Ping Lu,et al.  Rapid Generation of Accurate Entry Landing Footprints , 2009 .

[13]  I. Michael Ross,et al.  Rapid Verification Method for the Trajectory Optimization of Reentry Vehicles , 2003 .