AN APPLICATION OF AN ANALOG COMPUTER TO SOLVE THE TWO-POINT BOUNDARY-VALUE PROBLEM FOR A FOURTH ORDER OPTIMAL CONTROL PROBLEM.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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The application of Pontryagins Maximum Principle to trajectory optimization problems results in a two-point boundary-value problem. An analog computer is used in conjunction with a human operator who has a display of the phase planes of the admissible trajectories. The human operator, having a general knowledge of the behavior of the system, adjusts control law parameters until the boundary conditions of the system are satisfied. This technique was applied to a time-optimal rendezvous with bounds on rocket thrust and fuel available and demonstrated that accurate analog computer solutions are possible. Author
- Numerical Mathematics
- Spacecraft Trajectories and Reentry