Attitude stabilization control method of space-tethered grabber based on fractional order differentiation in stages
A stable control method and fractional derivative technology, applied in attitude control, control/regulation system, non-electric variable control, etc., to achieve fast response, avoid collision, and save fuel.
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[0033] Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:
[0034] The technical scheme adopted in the present invention comprises the following steps:
[0035] 1) Establish the dynamic model of the recovery stage of the space tethered catcher;
[0036] 2) Design the PD controller based on the tether recovery rate in the recovery phase;
[0037] 3) In the recovery phase of the design, the PD is based on the recovery rate of the tether and the inner angle of the tether surface μ controller.
[0038] In the described step 1), the kinetic equation of the recovery stage of the space tether catcher is:
[0039]
[0040]
[0041]
[0042]
[0043]
[0044]
[0045]
[0046]
[0047] Wherein, in formulas (6) and (7), k=1, 2, 3, 4. When k=1,q=2,3,4; when k=2,q=1,3,4; when k=3,q=1,2,4; when k=4,q=1,2, 3. Λ, lw are the length of the connecting tether and flexible rope after dimensionless, θ, are the ...
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