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Double-satellite system orbit keeping method based on linear quadratic type regulator

A linear quadratic orbit-keeping technology, applied in the aerospace field, can solve the problems of being unsuitable for binary star systems and poor tracking effects, and achieve the effects of high maintenance accuracy, low fuel consumption, and good convergence

Active Publication Date: 2018-06-08
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

However, because this method only constrains the end state, the actual orbit may be quite different from the nominal orbit except in the vicinity of the target, and the tracking effect is poor.
[0004] Prior technology [2] (see Pamela Woo, Arun K.Misra, etc., Bounded trajectories of aspacecraft near an equilibrium point of a binary asteroid system, 2015, 110, 313-323) by constructing a suitable Lyapunov function, the detector is realized in the binary asteroid system Feedback control of orbits near the balance point, but this method can only be applied to orbits near the balance point, not suitable for other orbits in the binary star system

Method used

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  • Double-satellite system orbit keeping method based on linear quadratic type regulator
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  • Double-satellite system orbit keeping method based on linear quadratic type regulator

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Embodiment 1

[0057] The double-star system orbit keeping method based on the linear quadratic regulator of the present embodiment comprises the following steps:

[0058] Step 1: According to the determined parameters of the target binary star system, the asteroid is simplified into a three-axis ellipsoid by ignoring the difference in the spin angular velocity of the two bodies, and a simplified dynamic model of the two bodies is established in the center of mass rotating coordinate system. The parameters of the binary system include the shape of the binary and the mass ratio μ.

[0059]

[0060] Where r=[x, y, z] represents the position vector from the detector to the center of mass, and ω is the rotational angular velocity of the system. u 1,2 represents the gravitational potential energy of the binary star

[0061]

[0062]

[0063]

[0064] Where α, β, γ are the lengths of the three main axes of the ellipsoid, assuming that the longest main axis of the star coincides with ...

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Abstract

The invention relates to an orbit keeping method of a double-satellite system, in particular to a method for adopting a linear quadratic type regulator for tracking control and achieving double-satellite system orbit keeping, and belongs to the technical field of aerospace. The implementation method comprises the steps of using a simplified two-body kinetic model to design a nominal orbit, then obtaining an actual orbit with an initial value of the nominal orbit under a precise two-body kinetic equation, calculating the deviation of the actual orbit and the nominal orbit, designing an optimalcontrol law based on the linear quadratic type regulator to obtain optimal accelerated speed, and applying continuous control to make the actual orbit converged around the nominal orbit, so that orbittracking and keeping under the double-satellite system is achieved. The method for adopting the linear quadratic type regulator for tracking control and achieving double-satellite system orbit keeping is applicable to double-satellite system orbit keeping under the condition of the presence of initial errors and model errors, and has the advantages of being high in convergence, high in keeping precision and the like.

Description

technical field [0001] The invention relates to an orbit keeping method of a double-star system, in particular to a method for realizing the orbit keeping of a double-star system by using a linear quadratic regulator tracking control, and belongs to the field of aerospace technology. Background technique [0002] The double asteroid system is a special type of asteroid. While the barycenter of the binary star system is revolving around the sun, the two asteroids also move in a circle or ellipse around the barycenter. Compared with the detection of single asteroids, the detection of double asteroid systems has more scientific returns. At the same time, the formation and evolution of binary star systems are still controversial. Therefore, the detection of binary star systems is one of the hot spots in future asteroid detection. Like a single asteroid, a double asteroid system also has the characteristics of irregular shape and uncertain spin state, which leads to a complex dyn...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): B64G1/24G06F17/50
CPCB64G1/24G06F30/20
Inventor 乔栋李翔宇韩宏伟杜燕茹胡勃钦尚海滨
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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