CN113002803B - Multi-star and ultra-long baseline compound formation method - Google Patents

Multi-star and ultra-long baseline compound formation method Download PDF

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CN113002803B
CN113002803B CN202110299274.5A CN202110299274A CN113002803B CN 113002803 B CN113002803 B CN 113002803B CN 202110299274 A CN202110299274 A CN 202110299274A CN 113002803 B CN113002803 B CN 113002803B
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刘磊
熊子珺
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Abstract

The invention relates to a multi-satellite ultra-long baseline composite formation method, and belongs to the technical field of spaceflight. The satellite body is connected with the load modules through a separated driving platform, the ultra-static ultra-stable satellite is composed of the two load modules and a service module, and ultra-long baseline composite formation is achieved through coarse and fine two-stage formation. Firstly, the satellite body and the load module are electromagnetically locked or actively controlled to realize rigid connection, and the satellite body carries the load module to enter a preset orbit and perform relative motion and pointing control between the satellite bodies. And then, the separated electromagnetic actuator is released and used as an actuating mechanism to generate three-axis control force and three-axis control moment in a matching manner, so that the relative motion and the pointing direction between the load modules are controlled. And finally, releasing the non-dragging checking quality, realizing non-dragging control of the load module through a separated electromagnetic actuator, following the load module by the satellite body through an on-satellite executing mechanism, and simultaneously controlling a plurality of satellites to realize the ultra-long baseline composite formation system.

Description

多星超长基线复合编队方法Multi-star and ultra-long baseline compound formation method

技术领域technical field

本发明属于航天技术领域,涉及一种多星飞行编队控制方法,特别涉及一种多星超长基线复合编队方法。The invention belongs to the field of aerospace technology, and relates to a multi-star flight formation control method, in particular to a multi-star ultra-long baseline composite formation method.

背景技术Background technique

由于地面引力波实验难以隔离低频扰动,近年来对天基多星引力波探测的需求不断增加。天基引力波探测是在十万公里级轨道高度多星进行编队飞行,星间基线在十万至上百万公里,卫星两两形成一干涉仪,通过激光测距仪精确测量相邻卫星搭载的检验质量间的距离变化。为了保证超长基线的激光测距性能,星间指向精度需要控制在纳弧度量级,这对卫星的超静超稳设计和高精度控制要求极高。Due to the difficulty of isolating low-frequency disturbances in ground-based gravitational wave experiments, the demand for space-based multi-star gravitational wave detection has been increasing in recent years. Space-based gravitational wave detection is a formation flight of multiple stars at an orbital altitude of 100,000 kilometers. The baseline between stars is between 100,000 and millions of kilometers. Two satellites form an interferometer, and the laser rangefinder is used to accurately measure the satellites carried by adjacent satellites. The distance between the inspection masses varies. In order to ensure the laser ranging performance of the ultra-long baseline, the inter-satellite pointing accuracy needs to be controlled at the nanoradian level, which requires extremely high requirements for the ultra-static and ultra-stable design and high-precision control of the satellite.

为满足这类超长基线空间科学任务的编队超精指向及超静超稳要求,传统的引力波探测卫星采用无拖曳控制技术,卫星本体要求进行超静超稳设计,包括采用高刚性结构来防止柔性附件的耦合振动,以及为避免旋转部件产生微振动,卫星姿态控制采用微牛级微推力器控制,增加了卫星系统设计的复杂度和难度。为了降低卫星平台的设计复杂度,进一步提高编队控制精度,本发明针对超长基线多星高精度编队应用背景,提出一种采用分离式卫星的多星复合编队方法。分离式设计能隔离卫星平台扰动,卫星本体无需进行超静超稳设计,载荷模块可实现星间超高精度指向控制及超静无拖曳控制。In order to meet the ultra-precise pointing and ultra-static and ultra-stable requirements of formations for such ultra-long baseline space science missions, traditional gravitational wave detection satellites use drag-free control technology, and the satellite body requires ultra-static and ultra-stable design, including the use of high-rigidity structures to To prevent the coupling vibration of the flexible accessories and avoid the micro-vibration of the rotating parts, the satellite attitude control is controlled by a Webull-level micro-thrust, which increases the complexity and difficulty of the satellite system design. In order to reduce the design complexity of the satellite platform and further improve the formation control accuracy, the present invention proposes a multi-satellite composite formation method using separate satellites for the application background of the ultra-long baseline multi-satellite high-precision formation. The separate design can isolate the disturbance of the satellite platform, and the satellite body does not need to be designed for ultra-static and ultra-stable.

文献“申请公布号是CN107554817A的中国发明专利”公开了一种卫星复合编队方法,针对主从式编队卫星姿轨控制问题,分别通过卫星本体的微推力器及在卫星本体与载荷之间设计的分离式主动隔振与六自由度控制系统进行两级粗精复合编队,对卫星本体和载荷的六自由度均进行精确控制。该编队方式只适合短基线的分布式光学成像等领域,在超长基线下应用受限。The document "Chinese invention patent with the application publication number of CN107554817A" discloses a satellite composite formation method, aiming at the problem of attitude and orbit control of the master-slave formation satellite, respectively through the micro thruster of the satellite body and the design between the satellite body and the load. The separate active vibration isolation and six-degree-of-freedom control system conducts a two-stage rough-fine composite formation to precisely control the six-degree-of-freedom of the satellite body and the payload. This formation method is only suitable for short-baseline distributed optical imaging and other fields, and its application under ultra-long baselines is limited.

发明内容SUMMARY OF THE INVENTION

要解决的技术问题technical problem to be solved

为了克服现有引力波干涉卫星超静超稳编队设计的不足,不能实现超长基线下复合编队,本发明提供一种多星超长基线复合编队方法。In order to overcome the deficiencies in the ultra-quiet and ultra-stable formation design of the existing gravitational wave interference satellites, which cannot realize the composite formation under the ultra-long baseline, the invention provides a multi-satellite ultra-long baseline composite formation method.

技术方案Technical solutions

本发明的卫星本体与载荷模块之间采用分离式驱动平台相连接,由两个载荷模块和一个服务模块组成超静超稳卫星,通过粗精两级编队实现超长基线复合编队。首先将卫星本体与载荷模块进行电磁锁紧或主动控制实现刚性连接,卫星本体携带载荷模块进入预定轨道并进行卫星本体间相对运动及指向控制。其后,分离式电磁作动器释放,作为执行机构配合生成三轴控制力和三轴控制力矩,控制载荷模块间相对运动及指向。最后释放无拖曳检验质量,载荷模块通过分离式电磁作动器实现无拖曳控制,卫星本体通过星上执行机构对载荷模块进行跟随,多颗卫星同时进行以上控制,实现超长基线复合编队系统。The satellite body and the load module of the present invention are connected by a separate drive platform, two load modules and one service module form an ultra-static and ultra-stable satellite, and the ultra-long baseline composite formation is realized through two-level formation of rough and fine. First, the satellite body and the load module are electromagnetically locked or actively controlled to realize a rigid connection. The satellite body carries the load module into a predetermined orbit and performs relative motion and pointing control between the satellite bodies. After that, the separate electromagnetic actuator is released, and cooperates as an actuator to generate a three-axis control force and a three-axis control torque to control the relative movement and orientation of the load modules. Finally, the non-drag inspection mass is released. The load module realizes non-drag control through the separate electromagnetic actuator. The satellite body follows the load module through the on-board actuator, and multiple satellites perform the above control at the same time to realize the ultra-long baseline composite formation system.

一种多星超长基线复合编队方法,其特征在于:一颗卫星搭载两个载荷模块,每个载荷模块上装有一引力波检测质量块,卫星本体与两个载荷模块之间分别通过8个分离式电磁作动器相连接;分离式连接界面采用八杆各向同性构型;步骤如下:A multi-satellite ultra-long baseline composite formation method, which is characterized in that: a satellite is equipped with two load modules, each load module is equipped with a gravitational wave detection mass block, and the satellite body and the two load modules are separated by eight separations respectively. connected with electromagnetic actuators; the separate connection interface adopts an eight-bar isotropic configuration; the steps are as follows:

步骤1:在粗编队阶段,卫星本体与两个载荷模块间的分离式电磁作动器分别刚性连接;卫星两两之间建立当地参考轨道坐标系,描述双星本体及载荷相对运动,建立星间指向运动模型;所述的当地参考轨道坐标系为:Step 1: In the rough formation stage, the separate electromagnetic actuators between the satellite body and the two load modules are rigidly connected respectively; a local reference orbit coordinate system is established between the satellites to describe the relative motion of the double star body and the payload, and establish an inter-satellite coordinate system. Pointing to the kinematic model; the local reference orbit coordinate system is:

Figure BDA0002985563880000021
Figure BDA0002985563880000021

其中,Δr12=r1-r2,r1、r2分别为两颗卫星在惯性坐标系的位置矢量,xF、yF、zF分别为当地参考轨道坐标系的三个轴,三轴遵从右手定则;Among them, Δr 12 =r 1 -r 2 , r 1 and r 2 are the position vectors of the two satellites in the inertial coordinate system, respectively, x F , y F , and z F are the three axes of the local reference orbit coordinate system, respectively. The axis obeys the right-hand rule;

步骤2:以运行在地球中心引力场的编队卫星为例,卫星i在地心轨道坐标系的轨道动力学方程为:Step 2: Taking the formation satellite running in the gravitational field at the center of the earth as an example, the orbital dynamics equation of satellite i in the coordinate system of the earth's center orbit is:

Figure BDA0002985563880000031
Figure BDA0002985563880000031

其中,ri、vi分别为卫星i的位移和速度矢量,di为其所受扰动;Among them, ri and vi are the displacement and velocity vector of satellite i , respectively , and d i is the disturbance;

卫星i的姿态动力学方程为The attitude dynamics equation of satellite i is:

Figure BDA0002985563880000032
Figure BDA0002985563880000032

其中,Tic、Tid分别为卫星本体所受的控制力矩及扰动力矩;Among them, T ic and T id are the control torque and disturbance torque of the satellite body, respectively;

卫星相对运动学方程可通过相对坐标系变换得到,其中,6自由度矢量的相对变化率可由式(4)得到;已知矢量相对固定参考坐标的变化率,等于矢量在动坐标的变化率和动坐标相对参考坐标的转速矢量ω与该矢量的×积之和:The relative kinematics equation of the satellite can be obtained through the transformation of the relative coordinate system, in which the relative change rate of the 6-DOF vector can be obtained by formula (4); the change rate of the known vector relative to the fixed reference coordinate is equal to the change rate of the vector in the moving coordinate and The sum of the speed vector ω of the moving coordinate relative to the reference coordinate and the product of this vector:

Figure BDA0002985563880000033
Figure BDA0002985563880000033

通过测量编队卫星间的相对位置和相对姿态,根据上述推导得到的运动学与动力学模型通过常规位姿控制方法控制编队卫星本体间的相对运动,确定当地参考轨道坐标系,并控制卫星的指向初步跟踪当地参考轨道坐标系原点;By measuring the relative positions and relative attitudes of the formation satellites, the kinematics and dynamics models derived from the above are used to control the relative motion between the formation satellites through the conventional pose control method, determine the local reference orbit coordinate system, and control the pointing of the satellites Preliminarily track the origin of the local reference orbit coordinate system;

步骤3:在卫星本体相对运动稳定、星间粗指向精度满足载荷模块工作域要求时,分离式电磁作动器开始工作,进入精编队阶段;分离式电磁作动器解锁,载荷模块与卫星本体不再维持刚性连接状态,卫星本体与两个载荷模块由连接状态转换为分离状态,此时从卫星平台到载荷模块的微振动传递路径从物理上被隔离,载荷模块实现超静超稳;卫星i的两个载荷模块分别指向相邻卫星的载荷模块;Step 3: When the relative motion of the satellite body is stable and the coarse pointing accuracy between the satellites meets the requirements of the working domain of the load module, the separate electromagnetic actuator starts to work and enters the fine formation stage; the separate electromagnetic actuator is unlocked, and the load module and the satellite body are unlocked. The rigid connection state is no longer maintained, and the satellite body and the two load modules are converted from the connected state to the separated state. At this time, the micro-vibration transmission path from the satellite platform to the load module is physically isolated, and the load module realizes ultra-static and ultra-stable; The two load modules of i point to the load modules of the adjacent satellites respectively;

通过测量系统解算得到相邻卫星的不同载荷模块与其当地轨道坐标系的相对姿态偏差,通过分离式电磁作动器控制载荷模块的姿态跟踪当地轨道坐标系;The relative attitude deviations of different load modules of adjacent satellites and their local orbit coordinate systems are obtained through the calculation of the measurement system, and the attitude of the load modules is controlled by a separate electromagnetic actuator to track the local orbit coordinate system;

根据分离式电磁作动器的结构布局方式,各分离式电磁作动器在载荷模块不同位置输出力,最终获得各自由度的控制力与控制力矩;According to the structure and layout of the separate electromagnetic actuators, each separate electromagnetic actuator outputs force at different positions of the load module, and finally obtains the control force and control torque of each degree of freedom;

载荷模块的动力学方程为The dynamic equation of the load module is

Figure BDA0002985563880000041
Figure BDA0002985563880000041

其中,χB=(xB,yB,zBBBB)T为卫星本体的广义坐标,χP=(xP,yP,zPPPP)T为分离式载荷模块的广义坐标,MP为载荷模块的惯性矩阵,C、K分别代表作动器的等效阻尼与等效刚度矩阵,其中,下标B、P分别表示卫星本体及载荷模块;载荷模块间的相对运动通过载荷模块的绝对运动方程进行相对坐标系变换获得,Fic、Tic分别为控制力及控制力矩,FiPd、TiPd分别为扰动力及扰动力矩;有Among them, χ B = (x B , y B , z B , α B , β B , γ B ) T is the generalized coordinate of the satellite ontology, χ P = (x P , y P , z P , α P , β PP ) T is the generalized coordinate of the separate load module, M P is the inertia matrix of the load module, C and K represent the equivalent damping and equivalent stiffness matrices of the actuator, respectively, where the subscripts B and P represent satellites, respectively Body and load module; the relative motion between load modules is obtained by transforming the relative coordinate system of the absolute motion equation of the load module, F ic and T ic are the control force and control torque, respectively, F iPd , T iPd are the disturbance force and disturbance torque, respectively ;Have

Figure BDA0002985563880000042
Figure BDA0002985563880000042

其中,F为8个分离式电磁作动器输出力组成的向量;单个分离式电磁作动器输出力大小F与电流I的关系由下式给出:Among them, F is the vector composed of the output forces of 8 separate electromagnetic actuators; the relationship between the output force F of a single separate electromagnetic actuator and the current I is given by the following formula:

F=kBLI (7)F=kBLI (7)

其中,L为导线有效长度,B为磁场强度,k为导线的感性系数;Among them, L is the effective length of the wire, B is the magnetic field strength, and k is the inductive coefficient of the wire;

步骤4:在载荷模块运动及星间指向满足引力波测量条件后,解锁检测质量块,采用位移模式或加速度模式测量载荷模块所受的非引力加速度,对载荷模块的六自由度运动进行解耦,对两个载荷模块共12个自由度选择6个自由度为敏感自由度,其余6个自由度为非敏感自由度;此时载荷模块的控制分为敏感自由度无拖曳控制与指向控制、非敏感自由度稳定控制;对载荷模块敏感自由度通过分离式电磁作动器同时进行无拖曳控制与星间指向控制,无拖曳控制用于跟随检测质量,消除科学任务测量频段的载荷模块所受的非引力加速度;指向控制用于在非测量频段控制相邻卫星的载荷模块间的指向,保证激光测量精度;对于载荷模块的6个非敏感自由度通过分离式电磁作动器进行稳定控制;载荷模块在无拖曳控制、指向控制及稳定控制同时作用下,实现科学探测所需的超静力学环境和超高精度星间指向;卫星本体通过常规位姿控制方法跟踪两个载荷模块,进行卫星本体与载荷模块间的相对运动保持控制,避免发生与载荷模块的碰撞,干扰测量结果;多个卫星组成超长基线复合编队系统。Step 4: After the motion of the load module and the direction between the stars meet the gravitational wave measurement conditions, unlock the detection mass, measure the non-gravitational acceleration of the load module in the displacement mode or the acceleration mode, and decouple the six-degree-of-freedom motion of the load module , select 6 degrees of freedom as sensitive degrees of freedom for a total of 12 degrees of freedom of the two load modules, and the remaining 6 degrees of freedom as non-sensitive degrees of freedom; at this time, the control of the load module is divided into sensitive degrees of freedom without drag control and pointing control, Stable control of non-sensitive degrees of freedom; non-drag control and inter-satellite pointing control are simultaneously performed for the sensitive degrees of freedom of the load module through separate electromagnetic actuators. The non-gravitational acceleration; the pointing control is used to control the pointing between the load modules of adjacent satellites in the non-measurement frequency band to ensure the accuracy of laser measurement; the six non-sensitive degrees of freedom of the load module are stably controlled by separate electromagnetic actuators; Under the simultaneous action of non-drag control, pointing control and stability control, the payload module realizes the ultra-static environment and ultra-high-precision inter-satellite pointing required for scientific exploration; the satellite body tracks the two payload modules through the conventional attitude and attitude control method, and conducts satellite tracking. The relative movement between the body and the load module is kept under control to avoid collision with the load module and interfere with the measurement results; multiple satellites form an ultra-long baseline composite formation system.

本发明技术方案更进一步的说:所述的分离式电磁作动器选用音圈作动器,通过在线圈中通入直流电流实现力的输出,通过调节输入电流的大小和方向改变输出力的大小和方向。The technical solution of the present invention further states that the separate electromagnetic actuator uses a voice coil actuator, which realizes the output of force by passing a DC current into the coil, and changes the output force by adjusting the magnitude and direction of the input current. size and orientation.

本发明技术方案更进一步的说:步骤1卫星本体与两个载荷模块间的分离式电磁作动器的刚性连接方式为电磁锁紧或主动控制。The technical solution of the present invention further states that in step 1, the rigid connection mode of the separate electromagnetic actuator between the satellite body and the two load modules is electromagnetic locking or active control.

本发明技术方案更进一步的说:8个分离式电磁作动器的动子和定子分别通过螺栓与卫星本体与载荷模块连接。The technical solution of the present invention further states that the movers and stators of the eight separate electromagnetic actuators are respectively connected with the satellite body and the load module through bolts.

有益效果beneficial effect

本发明提出的一种多星超长基线复合编队方法,该方法在多个卫星的本体和载荷模块之间设计分离式主动隔振与六自由度控制系统,首先将卫星本体与载荷模块之间进行电磁锁紧或主动控制实现刚性连接,采用常规方法对多个卫星之间进行粗编队及粗指向,针对超长基线编队卫星姿态及轨道控制问题,根据绝对运动方程推导获得卫星本体间的相对运动和当地参考轨道坐标系,对卫星本体间相对运动和星间指向利用常规位姿控制方法进行控制。其后释放分离式系统,根据载荷模块绝对运动方程推导获得载荷模块间相对运动及指向信息,利用8个分离式电磁作动器配合生成控制力及控制力矩,对载荷的三自由度位移进行稳定控制,对载荷模块的姿态进行控制以实现星间的高精度指向。结合无拖曳控制技术,对载荷模块进行无拖曳与星间指向协调控制,卫星本体跟踪载荷模块运动,满足科学探测所需的超静力学环境和超高精度星间指向要求,控制多星实现超长基线复合编队系统。The invention proposes a multi-satellite ultra-long baseline composite formation method. The method designs a separate active vibration isolation and six-degree-of-freedom control system between the bodies and load modules of multiple satellites. Carry out electromagnetic locking or active control to achieve rigid connection, and use conventional methods to perform rough formation and rough pointing between multiple satellites. For the attitude and orbit control problems of ultra-long baseline formation satellites, the relative relationship between satellite bodies is derived according to the absolute motion equation. The motion and the local reference orbit coordinate system are used to control the relative motion between satellite bodies and the inter-satellite pointing using conventional pose control methods. After that, the separate system is released, and the relative motion and orientation information between the load modules are derived according to the absolute motion equation of the load modules, and 8 separate electromagnetic actuators are used to cooperate to generate the control force and control torque to stabilize the three-degree-of-freedom displacement of the load. Control the attitude of the payload module to achieve high-precision pointing between satellites. Combined with the no-drag control technology, the payload module is controlled without drag and inter-satellite pointing, and the satellite body tracks the motion of the payload module to meet the ultra-static environment and ultra-high-precision inter-satellite pointing requirements required for scientific exploration, and to control multiple satellites to achieve ultra-high accuracy. Long Baseline Compound Formation System.

在卫星本体和载荷模块之间设计分离式主动隔振与六自由度控制系统,分离式界面可以从物理上全频带隔离卫星本体各种微振动对精密载荷的干扰,卫星本体可采用传统卫星设计,降低卫星设计难度和复杂度。A separate active vibration isolation and six-degree-of-freedom control system is designed between the satellite body and the load module. The separate interface can physically isolate the interference of various micro-vibrations of the satellite body to the precision load in the full frequency band. The satellite body can adopt traditional satellite design. , reduce the difficulty and complexity of satellite design.

分离式主动隔振与六自由度控制系统能提供超精的载荷模块控制,在卫星本体粗编队及粗指向的基础上对载荷进行二次编队稳定和指向控制,进一步提高编队及指向精度,满足科学探测的超精指向要求。The separate active vibration isolation and six-degree-of-freedom control system can provide ultra-precise load module control, perform secondary formation stabilization and pointing control of the load on the basis of the rough formation and rough pointing of the satellite body, and further improve the formation and pointing accuracy. The ultra-precise pointing requirement of scientific exploration.

分离式界面能为载荷模块提供超静力学环境,结合无拖曳控制进一步满足科学探测的超静需求。The separated interface can provide a hyperstatic environment for the load module, and combined with the drag-free control, it can further meet the hyperstatic requirements of scientific exploration.

本发明可突破基线限制,多星可在十万至百万公里量级基线上进行复合编队。The invention can break through the limitation of the baseline, and multiple satellites can form a composite formation on the baseline of the order of 100,000 to one million kilometers.

附图说明Description of drawings

图1是本发明多星超长基线复合编队方法的流程图。FIG. 1 is a flow chart of the multi-star and ultra-long baseline composite formation method of the present invention.

图2是本发明多星超长基线复合编队方法的示意图。FIG. 2 is a schematic diagram of the multi-star and ultra-long baseline composite formation method of the present invention.

图3是本发明方法中分离式主动隔振与六自由度控制系统示意图。3 is a schematic diagram of a separate active vibration isolation and six-degree-of-freedom control system in the method of the present invention.

图4是本发明方法中分离式主动隔振与六自由度控制系统俯视图。4 is a top view of a separate active vibration isolation and six-degree-of-freedom control system in the method of the present invention.

图5是本发明方法中载荷平台无拖曳与星间指向协调控制框图。FIG. 5 is a block diagram of the coordinated control of the load platform without drag and the inter-satellite pointing in the method of the present invention.

图中,1-卫星本体,2-第一载荷模块,3-第二载荷模块,4-检测质量块,5-载荷模块连接界面,6-卫星本体连接界面,7-第一分离式电磁作动器,8-第二分离式电磁作动器,9-第三分离式电磁作动器,10-第四分离式电磁作动器,11-第五分离式电磁作动器,12-第六分离式电磁作动器,13-第七分离式电磁作动器,14-第八分离式电磁作动器。In the figure, 1-satellite body, 2-first load module, 3-second load module, 4-detection mass, 5-load module connection interface, 6-satellite body connection interface, 7-first separate electromagnetic actuator Actuator, 8-second separate electromagnetic actuator, 9-third separate electromagnetic actuator, 10-fourth separate electromagnetic actuator, 11-fifth separate electromagnetic actuator, 12-th Six separate electromagnetic actuators, 13 - seventh separate electromagnetic actuator, 14 - eighth separate electromagnetic actuator.

具体实施方式Detailed ways

现结合实施例、附图对本发明作进一步描述:The present invention will now be further described in conjunction with the embodiments and accompanying drawings:

参照图1-5。Refer to Figures 1-5.

步骤一、分离式主动隔振与六自由度控制系统设计。一颗卫星搭载两个载荷模块,包含两个分离式主动隔振与六自由度控制系统,该系统由8个分离式电磁作动器组成,系统如图3所示。每个载荷模块上装有一引力波检测质量块,卫星本体与两个载荷模块之间分别通过8个分离式电磁作动器相连接。8个分离式电磁作动器的动子和定子分别通过螺栓与卫星本体与载荷模块连接。分离式连接界面采用一种八杆各向同性构型。Step 1. Design of separate active vibration isolation and six-degree-of-freedom control system. A satellite is equipped with two load modules, including two separate active vibration isolation and six-degree-of-freedom control systems. The system consists of eight separate electromagnetic actuators. The system is shown in Figure 3. Each load module is equipped with a gravitational wave detection mass block, and the satellite body and the two load modules are respectively connected by 8 separate electromagnetic actuators. The movers and stators of the eight separate electromagnetic actuators are respectively connected with the satellite body and the load module through bolts. The split connection interface adopts an eight-bar isotropic configuration.

步骤二、卫星本体粗编队相对运动及星间指向建模与粗控制。在粗编队阶段,卫星本体与两个载荷模块间的分离式电磁作动器分别进行电磁锁紧或主动控制实现刚性连接。卫星两两之间建立当地参考轨道坐标系,描述双星本体及载荷相对运动,建立星间指向运动模型。当地参考轨道坐标系由以下公式得到:Step 2: Modeling and rough control of relative motion of satellite body rough formation and inter-satellite pointing. In the rough formation stage, the separate electromagnetic actuators between the satellite body and the two load modules are respectively electromagnetically locked or actively controlled to achieve a rigid connection. A local reference orbit coordinate system is established between the satellites to describe the relative motion of the binary star itself and its payload, and a model of inter-satellite pointing motion is established. The local reference orbit coordinate system is obtained by the following formula:

Figure BDA0002985563880000071
Figure BDA0002985563880000071

其中,Δr12=r1-r2,r1、r2分别为两颗卫星在惯性坐标系的位置矢量,xF、yF、zF分别为当地参考轨道坐标系的三个轴,三轴遵从右手定则。Among them, Δr 12 =r 1 -r 2 , r 1 and r 2 are the position vectors of the two satellites in the inertial coordinate system, respectively, x F , y F , and z F are the three axes of the local reference orbit coordinate system, respectively. Axes obey the right-hand rule.

步骤三、以运行在地球中心引力场的编队卫星为例,卫星i在地心轨道坐标系的轨道动力学方程为:Step 3. Taking the formation satellite running in the gravitational field of the center of the earth as an example, the orbital dynamics equation of satellite i in the coordinate system of the earth's center orbit is:

Figure BDA0002985563880000072
Figure BDA0002985563880000072

其中,ri、vi分别为卫星i的位移和速度矢量,di为其所受扰动。Among them, ri and vi are the displacement and velocity vector of satellite i , respectively , and d i is the disturbance.

卫星i的姿态动力学方程为The attitude dynamics equation of satellite i is:

Figure BDA0002985563880000073
Figure BDA0002985563880000073

其中,Tic、Tid分别为卫星本体所受的控制力矩及扰动力矩。Among them, T ic and T id are the control torque and disturbance torque of the satellite body, respectively.

卫星相对运动学方程可通过相对坐标系变换得到。其中,6自由度矢量的相对变化率可由式(4)得到。已知矢量相对固定参考坐标的变化率,等于矢量在动坐标的变化率和动坐标相对参考坐标的转速矢量ω与该矢量的×积之和:The satellite relative kinematics equation can be obtained by transforming the relative coordinate system. Among them, the relative change rate of the 6-DOF vector can be obtained by equation (4). The rate of change of the known vector relative to the fixed reference coordinate is equal to the sum of the rate of change of the vector in the moving coordinate and the product of the speed vector ω of the moving coordinate relative to the reference coordinate and this vector:

Figure BDA0002985563880000081
Figure BDA0002985563880000081

通过测量编队卫星间的相对位置和相对姿态,根据上述推导得到的运动学与动力学模型通过常规位姿控制方法控制编队卫星本体间的相对运动,确定当地参考轨道坐标系,并控制卫星的指向初步跟踪当地参考轨道坐标系原点。By measuring the relative positions and relative attitudes of the formation satellites, the kinematics and dynamics models derived from the above are used to control the relative motion between the formation satellites through the conventional pose control method, determine the local reference orbit coordinate system, and control the pointing of the satellites Initially track the origin of the local reference orbit coordinate system.

步骤四、载荷模块精编队相对运动及星间指向建模与精控制。在卫星本体相对运动稳定、星间粗指向精度满足载荷模块工作域要求时,分离式电磁作动器开始工作,进入精编队阶段。分离式电磁作动器解锁或不再控制各支杆长度不变,卫星本体与两个载荷模块由连接状态转换为分离状态,此时从卫星平台到载荷模块的微振动传递路径从物理上被隔离,载荷模块实现超静超稳。卫星i的两个载荷模块分别指向相邻卫星的载荷模块。Step 4: Modeling and precise control of the relative motion and inter-satellite pointing of the fine formation of the load module. When the relative motion of the satellite body is stable and the coarse pointing accuracy between the satellites meets the requirements of the working domain of the load module, the separate electromagnetic actuator starts to work and enters the fine formation stage. The separate electromagnetic actuator is unlocked or the length of each strut is no longer controlled, and the satellite body and the two load modules are converted from the connected state to the separated state. At this time, the micro-vibration transmission path from the satellite platform to the load module is physically blocked. Isolation, the load module achieves ultra-static and ultra-stable. The two payload modules of satellite i respectively point to the payload modules of the adjacent satellites.

通过测量系统解算得到相邻卫星的不同载荷模块与其当地轨道坐标系的相对姿态偏差,通过分离式音圈作动器控制载荷模块的姿态跟踪当地轨道坐标系,实现星间的高精度指向,并保持载荷模块的三自由度位移运动稳定。The relative attitude deviation of different load modules of adjacent satellites and their local orbital coordinate system is obtained through the calculation of the measurement system, and the attitude of the load module is controlled by the separate voice coil actuator to track the local orbital coordinate system to achieve high-precision pointing between satellites. And keep the three-degree-of-freedom displacement motion of the load module stable.

分离式电磁作动器一般可选用音圈作动器,通过在线圈中通入直流电流实现力的输出,通过调节输入电流的大小和方向改变输出力的大小和方向。根据步骤一中作动器的结构布局方式,各作动器在载荷模块不同位置输出力,最终获得各自由度的控制力与控制力矩。Separable electromagnetic actuators generally use voice coil actuators, which can realize the output of force by passing a DC current into the coil, and change the magnitude and direction of the output force by adjusting the magnitude and direction of the input current. According to the structure and layout of the actuators in step 1, each actuator outputs force at different positions of the load module, and finally obtains the control force and control torque of each degree of freedom.

载荷模块的动力学方程为The dynamic equation of the load module is

Figure BDA0002985563880000082
Figure BDA0002985563880000082

其中,χB=(xB,yB,zBBBB)T为卫星本体的广义坐标,χP=(xP,yP,zPPPP)T为分离式载荷模块的广义坐标,MP为载荷模块的惯性矩阵,C、K分别代表作动器的等效阻尼与等效刚度矩阵,其中,下标B、P分别表示卫星本体及载荷模块。载荷模块间的相对运动通过载荷模块的绝对运动方程进行相对坐标系变换获得,Fic、Tic分别为控制力及控制力矩,FiPd、TiPd分别为扰动力及扰动力矩。有Among them, χ B = (x B , y B , z B , α B , β B , γ B ) T is the generalized coordinate of the satellite ontology, χ P = (x P , y P , z P , α P , β PP ) T is the generalized coordinate of the separate load module, M P is the inertia matrix of the load module, C and K represent the equivalent damping and equivalent stiffness matrices of the actuator, respectively, where the subscripts B and P represent satellites, respectively Body and load modules. The relative motion between the load modules is obtained by transforming the relative coordinate system of the absolute motion equation of the load modules. F ic and T ic are the control force and the control torque, respectively, and F iPd and T iPd are the disturbance force and the disturbance torque, respectively. Have

Figure BDA0002985563880000091
Figure BDA0002985563880000091

其中,F为8个音圈作动器输出力组成的向量。单个音圈作动器输出力大小F与电流I的关系由下式给出:Among them, F is the vector composed of the output force of 8 voice coil actuators. The relationship between the output force F of a single voice coil actuator and the current I is given by the following formula:

F=kBLI (7)F=kBLI (7)

其中,L为导线有效长度,B为磁场强度,k为导线的感性系数。Among them, L is the effective length of the wire, B is the magnetic field strength, and k is the inductive coefficient of the wire.

步骤五、载荷模块无拖曳及指向控制与卫星本体跟随控制。在载荷模块运动及星间指向满足引力波测量条件后,解锁检测质量块,采用位移模式或加速度模式测量载荷模块所受的非引力加速度,对载荷模块的六自由度运动进行解耦,对两个载荷模块共12个自由度选择6个自由度为敏感自由度,其余6个自由度为非敏感自由度。此时载荷模块的控制分为敏感自由度无拖曳控制与指向控制、非敏感自由度稳定控制。对载荷模块敏感自由度通过分离式电磁作动器同时进行无拖曳控制与星间指向控制,无拖曳控制用于跟随检测质量,消除科学任务测量频段的载荷模块所受的非引力加速度;指向控制用于在非测量频段控制相邻卫星的载荷模块间的指向,保证激光测量精度。对于载荷模块的6个非敏感自由度通过分离式电磁作动器进行稳定控制。载荷模块在无拖曳控制、指向控制及稳定控制同时作用下,实现科学探测所需的超静力学环境和超高精度星间指向。卫星本体通过常规位姿控制方法跟踪两个载荷模块,进行卫星本体与载荷模块间的相对运动保持控制,避免发生与载荷模块的碰撞,干扰测量结果。Step 5. The load module has no drag and pointing control and satellite body follow control. After the motion of the load module and the inter-satellite pointing meet the gravitational wave measurement conditions, unlock the detection mass, measure the non-gravitational acceleration of the load module in the displacement mode or the acceleration mode, and decouple the six-degree-of-freedom motion of the load module, so that the two There are a total of 12 degrees of freedom in each load module, and 6 degrees of freedom are selected as sensitive degrees of freedom, and the remaining 6 degrees of freedom are non-sensitive degrees of freedom. At this time, the control of the load module is divided into the non-drag control of the sensitive degree of freedom, the pointing control, and the stable control of the non-sensitive degree of freedom. Sensitive degrees of freedom of the load module. Simultaneous non-drag control and inter-satellite pointing control through separate electromagnetic actuators. The non-drag control is used to follow the detection mass and eliminate the non-gravitational acceleration of the load module in the measurement frequency band of scientific missions; pointing control It is used to control the pointing between the load modules of adjacent satellites in the non-measurement frequency band to ensure the accuracy of laser measurement. The six insensitive degrees of freedom of the load module are stably controlled by separate electromagnetic actuators. Under the simultaneous action of no-drag control, pointing control and stability control, the payload module realizes the ultra-static environment and ultra-high-precision inter-satellite pointing required for scientific exploration. The satellite body tracks the two load modules through the conventional pose control method, and controls the relative motion between the satellite body and the load module to avoid collision with the load module and interfere with the measurement results.

Claims (4)

1.一种多星超长基线复合编队方法,其特征在于:一颗卫星搭载两个载荷模块,每个载荷模块上装有一引力波检测质量块,卫星本体与两个载荷模块之间分别通过8个分离式电磁作动器相连接;分离式连接界面采用八杆各向同性构型;步骤如下:1. A multi-star super-long baseline composite formation method is characterized in that: a satellite is equipped with two load modules, each load module is equipped with a gravitational wave detection mass block, and the satellite body and the two load modules pass through 8 The separate electromagnetic actuators are connected; the separate connection interface adopts an eight-bar isotropic configuration; the steps are as follows: 步骤1:在粗编队阶段,卫星本体与两个载荷模块间的分离式电磁作动器分别刚性连接;卫星两两之间建立当地参考轨道坐标系,描述双星本体及载荷相对运动,建立星间指向运动模型;所述的当地参考轨道坐标系为:Step 1: In the rough formation stage, the separate electromagnetic actuators between the satellite body and the two load modules are rigidly connected respectively; a local reference orbit coordinate system is established between the satellites to describe the relative motion of the double star body and the payload, and establish an inter-satellite coordinate system. Pointing to the kinematic model; the local reference orbit coordinate system is:
Figure FDA0003812231160000011
Figure FDA0003812231160000011
其中,Δr12=r1-r2,r1、r2分别为两颗卫星在惯性坐标系的位置矢量,xF、yF、zF分别为当地参考轨道坐标系的三个轴,三轴遵从右手定则;Among them, Δr 12 =r 1 -r 2 , r 1 and r 2 are the position vectors of the two satellites in the inertial coordinate system, respectively, x F , y F , and z F are the three axes of the local reference orbit coordinate system, respectively. The axis obeys the right-hand rule; 步骤2:以运行在地球中心引力场的编队卫星为例,卫星i在地心轨道坐标系的轨道动力学方程为:Step 2: Taking the formation satellite running in the gravitational field at the center of the earth as an example, the orbital dynamics equation of satellite i in the coordinate system of the earth's center orbit is:
Figure FDA0003812231160000012
Figure FDA0003812231160000012
其中,ri、vi分别为卫星i的位置矢量和速度矢量,di为其所受扰动;Among them, ri and vi are the position vector and velocity vector of satellite i , respectively , and d i is the disturbance; 卫星i的姿态动力学方程为The attitude dynamics equation of satellite i is:
Figure FDA0003812231160000013
Figure FDA0003812231160000013
其中,Tic、Tid分别为卫星本体所受的控制力矩及扰动力矩;Among them, T ic and T id are the control torque and disturbance torque of the satellite body, respectively; 卫星相对运动学方程可通过相对坐标系变换得到,其中,6个自由度矢量的相对变化率可由式(4)得到;已知矢量相对固定参考坐标的变化率,等于矢量在动坐标的变化率和动坐标相对参考坐标的转速矢量ωi与该矢量的叉积之和:The relative kinematics equation of the satellite can be obtained through the transformation of the relative coordinate system, in which the relative rate of change of the six degree-of-freedom vectors can be obtained from equation (4); the rate of change of the known vector relative to the fixed reference coordinate is equal to the rate of change of the vector in the moving coordinate The sum of the cross product of the rotational speed vector ω i of the moving coordinate relative to the reference coordinate and the vector:
Figure FDA0003812231160000014
Figure FDA0003812231160000014
通过测量编队卫星间的相对位置和相对姿态,根据上述推导得到的运动学与动力学模型通过常规位姿控制方法控制编队卫星本体间的相对运动,确定当地参考轨道坐标系,并控制卫星的指向初步跟踪当地参考轨道坐标系原点;By measuring the relative positions and relative attitudes of the formation satellites, the kinematics and dynamics models derived from the above are used to control the relative motion between the formation satellites through the conventional pose control method, determine the local reference orbit coordinate system, and control the pointing of the satellites Preliminarily track the origin of the local reference orbit coordinate system; 步骤3:在卫星本体相对运动稳定、星间粗指向精度满足载荷模块工作域要求时,分离式电磁作动器开始工作,进入精编队阶段;分离式电磁作动器解锁,载荷模块与卫星本体不再维持刚性连接状态,卫星本体与两个载荷模块由连接状态转换为分离状态,此时从卫星平台到载荷模块的微振动传递路径从物理上被隔离,载荷模块实现超静超稳;卫星i的两个载荷模块分别指向相邻卫星的载荷模块;Step 3: When the relative motion of the satellite body is stable and the coarse pointing accuracy between the satellites meets the requirements of the working domain of the load module, the separate electromagnetic actuator starts to work and enters the fine formation stage; the separate electromagnetic actuator is unlocked, and the load module and the satellite body are unlocked. The rigid connection state is no longer maintained, and the satellite body and the two load modules are converted from the connected state to the separated state. At this time, the micro-vibration transmission path from the satellite platform to the load module is physically isolated, and the load module realizes ultra-static and ultra-stable; The two load modules of i point to the load modules of the adjacent satellites respectively; 通过测量系统解算得到相邻卫星的不同载荷模块与其当地轨道坐标系的相对姿态偏差,通过分离式电磁作动器控制载荷模块的姿态跟踪当地轨道坐标系;The relative attitude deviations of different load modules of adjacent satellites and their local orbit coordinate systems are obtained through the calculation of the measurement system, and the attitude of the load modules is controlled by a separate electromagnetic actuator to track the local orbit coordinate system; 根据分离式电磁作动器的结构布局方式,各分离式电磁作动器在载荷模块不同位置输出力,最终获得各自由度的控制力与控制力矩;According to the structure and layout of the separate electromagnetic actuators, each separate electromagnetic actuator outputs force at different positions of the load module, and finally obtains the control force and control torque of each degree of freedom; 载荷模块的动力学方程为The dynamic equation of the load module is
Figure FDA0003812231160000021
Figure FDA0003812231160000021
其中,χB=(xB,yB,zBBBB)T为卫星本体的广义坐标,χP=(xP,yP,zPPPP)T为分离式载荷模块的广义坐标,MP为载荷模块的惯性矩阵,C、K分别代表作动器的等效阻尼与等效刚度矩阵,其中,下标B、P分别表示卫星本体及载荷模块;载荷模块间的相对运动通过载荷模块的绝对运动方程进行相对坐标系变换获得,Fic、Tic分别为控制力及控制力矩,FiPd、TiPd分别为扰动力及扰动力矩;有Among them, χ B = (x B , y B , z B , α B , β B , γ B ) T is the generalized coordinate of the satellite ontology, χ P = (x P , y P , z P , α P , β PP ) T is the generalized coordinate of the separate load module, M P is the inertia matrix of the load module, C and K represent the equivalent damping and equivalent stiffness matrices of the actuator, respectively, where the subscripts B and P represent satellites, respectively Body and load module; the relative motion between load modules is obtained by transforming the relative coordinate system of the absolute motion equation of the load module, F ic and T ic are the control force and control torque, respectively, F iPd , T iPd are the disturbance force and disturbance torque, respectively ;Have
Figure FDA0003812231160000022
Figure FDA0003812231160000022
其中,F为8个分离式电磁作动器输出力组成的向量;单个分离式电磁作动器输出力大小F与电流I的关系由下式给出:Among them, F is the vector composed of the output forces of 8 separate electromagnetic actuators; the relationship between the output force F of a single separate electromagnetic actuator and the current I is given by the following formula: F=kBLI (7)F=kBLI (7) 其中,L为导线有效长度,B为磁场强度,k为导线的感性系数;Among them, L is the effective length of the wire, B is the magnetic field strength, and k is the inductive coefficient of the wire; 步骤4:在载荷模块运动及星间指向满足引力波测量条件后,解锁检测质量块,采用位移模式或加速度模式测量载荷模块所受的非引力加速度,对载荷模块的六自由度运动进行解耦,对两个载荷模块共12个自由度选择6个自由度为敏感自由度,其余6个自由度为非敏感自由度;此时载荷模块的控制分为敏感自由度无拖曳控制与指向控制、非敏感自由度稳定控制;对载荷模块敏感自由度通过分离式电磁作动器同时进行无拖曳控制与星间指向控制,无拖曳控制用于跟随检测质量,消除科学任务测量频段的载荷模块所受的非引力加速度;指向控制用于在非测量频段控制相邻卫星的载荷模块间的指向,保证激光测量精度;对于载荷模块的6个非敏感自由度通过分离式电磁作动器进行稳定控制;载荷模块在无拖曳控制、指向控制及稳定控制同时作用下,实现科学探测所需的超静力学环境和超高精度星间指向;卫星本体通过常规位姿控制方法跟踪两个载荷模块,进行卫星本体与载荷模块间的相对运动保持控制,避免发生与载荷模块的碰撞,干扰测量结果;多个卫星组成超长基线复合编队系统。Step 4: After the motion of the load module and the direction between the stars meet the gravitational wave measurement conditions, unlock the detection mass, measure the non-gravitational acceleration of the load module in the displacement mode or the acceleration mode, and decouple the six-degree-of-freedom motion of the load module , for the total 12 degrees of freedom of the two load modules, 6 degrees of freedom are selected as sensitive degrees of freedom, and the remaining 6 degrees of freedom are non-sensitive degrees of freedom; at this time, the control of the load module is divided into sensitive degrees of freedom without drag control and pointing control, Stable control of non-sensitive degrees of freedom; non-drag control and inter-satellite pointing control are simultaneously performed for the sensitive degrees of freedom of the load module through separate electromagnetic actuators. The non-gravitational acceleration; the pointing control is used to control the pointing between the load modules of adjacent satellites in the non-measurement frequency band to ensure the accuracy of laser measurement; the six non-sensitive degrees of freedom of the load module are stably controlled by separate electromagnetic actuators; Under the simultaneous action of non-drag control, pointing control and stability control, the payload module realizes the ultra-static environment and ultra-high-precision inter-satellite pointing required for scientific exploration; the satellite body tracks the two payload modules through the conventional attitude and attitude control method, and conducts satellite tracking. The relative movement between the body and the load module is kept under control to avoid collision with the load module and interfere with the measurement results; multiple satellites form an ultra-long baseline composite formation system.
2.根据权利要求1所述的一种多星超长基线复合编队方法,其特征在于所述的分离式电磁作动器选用音圈作动器,通过在线圈中通入直流电流实现力的输出,通过调节输入电流的大小和方向改变输出力的大小和方向。2. a kind of multi-star super-long baseline compound formation method according to claim 1, it is characterized in that described separate electromagnetic actuator selects voice coil actuator, realizes the force of force by feeding direct current in coil. Output, the magnitude and direction of the output force can be changed by adjusting the magnitude and direction of the input current. 3.根据权利要求1所述的一种多星超长基线复合编队方法,其特征在于步骤1卫星本体与两个载荷模块间的分离式电磁作动器的刚性连接方式为电磁锁紧或主动控制。3. a kind of multi-satellite ultra-long baseline compound formation method according to claim 1, is characterized in that the rigid connection mode of the separate electromagnetic actuator between step 1 satellite body and two load modules is electromagnetic locking or active control. 4.根据权利要求1所述的一种多星超长基线复合编队方法,其特征在于8个分离式电磁作动器的动子和定子分别通过螺栓与卫星本体与载荷模块连接。4. A kind of multi-satellite ultra-long baseline composite formation method according to claim 1 is characterized in that the mover and the stator of 8 separate electromagnetic actuators are respectively connected with the satellite body and the load module through bolts.
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