Design method of switching controller for constrained space vehicle orbital rendezvous system
An orbital rendezvous and design method technology, applied in the aerospace field, can solve problems such as the failure of the spacecraft rendezvous mission, and achieve the effect of improving the convergence speed, meeting the requirements of fast convergence performance, and reducing the amount of calculation.
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[0064] A switching controller design method for constrained spacecraft orbital rendezvous, the design of the controller specifically includes the following steps:
[0065] a) The nonlinear differential equation of the spacecraft orbital rendezvous system is established, as follows:
[0066]
[0067] Among them, x, y, z, Respectively represent the relative distance and relative speed of the tracking spacecraft relative to the target spacecraft on the X, Y, and Z axes, a X , a Y and a Z Respectively represent the acceleration in the X, Y, Z axis, ω>0 ( η is the gravitational constant, R is the target orbital radius) is the orbital angular velocity of the target spacecraft. where the non-linear term
[0068] (b) Using Taylor series expansion, the nonlinear term Linearize and preserve to first-order terms, while selecting the state vector The following state space expression can be obtained
[0069]
[0070] where Sat represents an asymmetric saturation function,...
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