A trajectory optimization method for spacecraft relative orbit transfer based on time-fuel optimal control
An optimal control, relative orbit technology, applied in attitude control and other directions, can solve the problem of not considering the limited thrust amplitude and only considering time.
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[0069] Specific embodiment one: based on time-fuel optimal control, the relative orbit transfer trajectory optimization method of the spacecraft comprises the following steps:
[0070] Step 1. Establish relative orbital motion dynamics model:
[0071] In the geocentric inertial coordinate system O-X I Y I Z I Among them, record the target spacecraft as s, and the tracking spacecraft as c; suppose the target spacecraft s is in a near-circular orbit, take the orbital coordinate system s-xyz of the target spacecraft as the relative motion coordinate system, and the tracking spacecraft as c The position where the target spacecraft is s is the relative position, and the coordinates of the relative position are established on the orbital coordinate system s-xyz; the orbital coordinate system s-xyz and the earth-centered inertial coordinate system O-X I Y I Z I relationship such as figure 1 shown;
[0072] Without considering the perturbation, the dynamic equations of the targ...
Embodiment
[0154]Taking the optimal transfer from 50km to 10km as an example, take [x 0 ,y 0 ,z 0 ] = [24000, 40000, 18000] m, [x f ,y f ,z f ]=[4800, 8000, 3600]m, the final state error is required to be less than 200m, and the control acceleration amplitude generated by the continuous thrust in each coordinate axis direction should not exceed 0.01m / s 2 .
[0155] Based on the relative motion dynamics model, build a simulation model in Simulink, such as Figure 4 As shown, the control quantity u in the direction of the three coordinate axes x , u y , u z According to the control laws shown in formula (16), they are designed respectively. The values of ρ are respectively selected as 0.015, 0.02, and 0.024 to represent the three situations of partial fuel, compromise, and partial time for simulation.
[0156] Taking ρ=0.015 as an example, the position of the three-axis direction changes with time as shown in Figure 5 As shown, the spatial trajectory of the orbital transfer i...
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