Volume 44 Issue 9
Sep.  2018
Turn off MathJax
Article Contents
MA Mingyu, DONG Chaoyang, WANG Qing, et al. Cooperative attitude control on SO(3) for multiple spacecraft with time-varying gain ESO[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9): 1797-1807. doi: 10.13700/j.bh.1001-5965.2017.0719(in Chinese)
Citation: MA Mingyu, DONG Chaoyang, WANG Qing, et al. Cooperative attitude control on SO(3) for multiple spacecraft with time-varying gain ESO[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9): 1797-1807. doi: 10.13700/j.bh.1001-5965.2017.0719(in Chinese)

Cooperative attitude control on SO(3) for multiple spacecraft with time-varying gain ESO

doi: 10.13700/j.bh.1001-5965.2017.0719
Funds:

National Natural Science Foundation of China 61374012

Science Foundation of China 2016ZA51011

More Information
  • Corresponding author: DONG Chaoyang, E-mail:dongchaoyang@buaa.edu.cn
  • Received Date: 21 Nov 2017
  • Accepted Date: 02 Mar 2018
  • Publish Date: 20 Sep 2018
  • This paper is concerned with the cooperative attitude control of multiple spacecraft, and the control design method on special orthogonal group (SO(3)) with disturbance is studied. The multiple spacecraft system is modeled using SO(3) method and directed communication topology. Then, a time-varying gain extended state observer (ESO) is proposed to estimate the total disturbance in the system, and it lessens the peaking phenomenon. The control commands are formulated in the form of rotation matrices using the information of adjacent spacecraft. Thus, the cooperative controller based on SO(3) method is designed, and at the same time ESO output is used to compensate the disturbance on the system. The convergence of the ESO and the stability of the closed-loop system are analyzed in this paper, which shows that the attitudes of the multiple spacecraft could reach stable consensus. Simulation is conducted to verify the effectiveness of the proposed method.

     

  • loading
  • [1]
    张保群, 宋申民, 陈兴林.考虑控制饱和的编队飞行卫星姿态协同控制[J].宇航学报, 2011, 32(5):1060-1069. doi: 10.3873/j.issn.1000-1328.2011.05.015

    ZHANG B Q, SONG S M, CHEN X L.Attitude coordination control of formation flying satellites under control saturation[J].Journal of Astronautics, 2011, 32(5):1060-1069(in Chinese). doi: 10.3873/j.issn.1000-1328.2011.05.015
    [2]
    胡勇, 徐李佳, 解永春.针对失控翻滚目标航天器的交会对接控制[J].宇航学报, 2015, 36(1):47-57. doi: 10.3873/j.issn.1000-1328.2015.01.007

    HU Y, XU L J, XIE Y C.Control for rendezvous and docking with a tumbling target spacecraft[J].Journal of Astronautics, 2015, 36(1):47-57(in Chinese). doi: 10.3873/j.issn.1000-1328.2015.01.007
    [3]
    王有亮, 李明涛, 郑建华, 等.编队卫星法向机动的切向耦合效应补偿方法[J].北京航空航天大学学报, 2017, 43(6):1165-1172. http://bhxb.buaa.edu.cn/CN/abstract/abstract14086.shtml

    WANG Y L, LI M T, ZHENG J H, et al.Compensation method of in-track coupling effect of cross-track maneuver for formation-flying satellites[J].Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(6):1165-1172(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract14086.shtml
    [4]
    ZHANG K W, DEMETRIOU M A.Adaptation and optimization of the synchronization gains in the adaptive spacecraft attitude synchronization[J].Aerospace Science and Technology, 2015, 46:116-123. doi: 10.1016/j.ast.2015.06.002
    [5]
    RAN D C, CHEN X Q, MISRA A K, et al.Relative position coordinated control for spacecraft formation flying with communication delays[J].Acta Astronautica, 2017, 137:302-311. doi: 10.1016/j.actaastro.2017.04.011
    [6]
    连克非, 董云峰.电磁航天器编队位置跟踪自适应协同控制[J].北京航空航天大学学报, 2017, 43(10):2154-2162. http://bhxb.buaa.edu.cn/CN/abstract/abstract14213.shtml

    LIAN K F, DONG Y F.Adaptive cooperative control for electromagnetic spacecraft formation flight position tracking[J].Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10):2154-2162(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract14213.shtml
    [7]
    THAKUR D, SRIKANT S, AKELLA M R.Adaptive attitude-tracking control of spacecraft with uncertain time-varying inertia parameters[J].Journal of Guidance, Control, and Dynamics, 2014, 38(1):41-52. doi: 10.2514/1.G000457
    [8]
    ZHANG H, FANG J.Robust backstepping control for agile sa-tellite using double-gimbal variable-speed control moment gyroscope[J].Journal of Guidance, Control, and Dynamics, 2013, 36(5):1356-1363. doi: 10.2514/1.59327
    [9]
    LU K F, XIA Y Q, ZHU Z, et al.Sliding mode attitude tracking of rigid spacecraft with disturbances[J].Journal of the Franklin Institute, 2012, 349(2):413-440. doi: 10.1016/j.jfranklin.2011.07.019
    [10]
    HUANG D, WANG Q, DUAN Z.Distributed attitude control for multiple flexible spacecraft under actuator failures and saturation[J].Nonlinear Dynamics, 2017, 88(1):529-546. doi: 10.1007/s11071-016-3258-3
    [11]
    王青, 龚立纲, 董朝阳.基于时变增益ESO的航天器无源姿态跟踪控制[J].控制与决策, 2018, 33(2):193-202. http://d.old.wanfangdata.com.cn/Periodical/kzyjc201802001

    WANG Q, GONG L G, DONG C Y.Passive attitude tracking control of spacecraft based on time-varying gain ESO[J].Control and Decision, 2018, 33(2):193-202(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/kzyjc201802001
    [12]
    何朕, 王广雄.姿态控制中的散开现象[J].机电与控制学报, 2015, 19(7):101-105. http://d.old.wanfangdata.com.cn/Periodical/djykzxb201507015

    HE Z, WANG G X.Unwinding phenomenon in attitude control[J].Electric Machines and Control, 2015, 19(7):101-105(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/djykzxb201507015
    [13]
    SANYAL A, FOSBURY A, CHATURVEDI N, et al.In-ertia-free spacecraft attitude tracking with disturbance rejection and almost global stabilization[J].Journal of Guidance, Control, and Dynamics, 2009, 32(4):1167-1178. doi: 10.2514/1.41565
    [14]
    LEE T.Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers[J].Systems and Control Letters, 2012, 61(1):231-237. doi: 10.1016/j.sysconle.2011.10.017
    [15]
    郑重, 宋申民.基于旋转矩阵描述的航天器无角速度测量姿态跟踪无源控制[J].控制与决策, 2014, 29(9):1628-1632. http://d.old.wanfangdata.com.cn/Periodical/kzyjc201409015

    ZHENG Z, SONG S M.Rotation matrix based passive attitude tracking control of spacecraft without angular velocity measurements[J].Control and Decision, 2014, 29(9):1628-1632(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/kzyjc201409015
    [16]
    LEE T.Global exponential attitude tracking controls on SO(3)[J].IEEE Transactions on Automatic Control, 2015, 60(10):2837-2842. doi: 10.1109/TAC.2015.2407452
    [17]
    董晓光, 曹喜滨, 张锦绣, 等.卫星编队飞行的鲁棒自适应控制方法[J].自动化学报, 2013, 39(2):132-141. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK201300099807

    DONG X G, CAO X B, ZHANG J X, et al.A robust adaptive control law for satellite formation flying[J].Acta Automatica Sinica, 2013, 39(2):132-141(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK201300099807
    [18]
    李冬柏, 解延浩, 吴宝林.考虑执行器安装偏差的航天器姿态跟踪控制[J].宇航学报, 2017, 38(6):598-604. http://d.old.wanfangdata.com.cn/Periodical/yhxb201706006

    LI D B, XIE Y H, WU B L.Robust spacecraft attitude tracking control with actuator misalignments[J].Journal of Astronautics, 2017, 38(6):598-604(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/yhxb201706006
    [19]
    GUO B Z, ZHAO Z L.On convergence of non-linear extended state observer for multi-input multi-output systems with uncertainty[J].IET Control Theory & Applications, 2012, 6(15):2375-2386. http://ieeexplore.ieee.org/document/6397128/
    [20]
    GUO B Z, WU Z H, ZHOU H C.Active disturbance rejection control approach to output-feedback stabilization of a class of uncertain nonlinear systems subject to stochastic disturbance[J].IEEE Transactions on Automatic Control, 2016, 61(6):1613-1618. doi: 10.1109/TAC.2015.2471815
    [21]
    TAN W, FU C.Linear active disturbance-rejection control:Analysis and tuning via IMC[J].IEEE Transactions on Industrial Electronics, 2016, 63(4):2350-2359. http://ieeexplore.ieee.org/document/7347404/
    [22]
    杨明, 董晨, 王松艳, 等.基于有限时间输出反馈的线性扩张状态观测器[J].自动化学报, 2015, 41(1):59-66. http://d.old.wanfangdata.com.cn/Periodical/zdhxb201501006

    YANG M, DONG C, WANG S Y, et al.Linear extended state observer based on finite-time output feedback[J].Acta Automatica Sinica, 2015, 41(1):59-66(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/zdhxb201501006
    [23]
    CHANG X, LI Y, ZHANG W, et al.Active disturbance rejection control for a flywheel energy storage system[J].IEEE Transactions on Industrial Electronics, 2015, 62(2):991-1001. doi: 10.1109/TIE.2014.2336607
    [24]
    KHALIL H K, PRALY L.High-gain observers in nonlinear feedback control[J].International Journal of Robust and Nonlinear Control, 2014, 24(6):993-1015. doi: 10.1002/rnc.v24.6
    [25]
    PU Z Q, YUAN R Y, YI J Q, et al.A class of adaptive extended state observers for nonlinear disturbed systems[J].IEEE Transa-ctions on Industrial Electronics, 2015, 62(9):5858-5869. doi: 10.1109/TIE.2015.2448060
    [26]
    邵龙飞, 师鹏, 赵育善.电磁航天器编队动力学建模与运动规划方法[J].北京航空航天大学学报, 2015, 41(4):738-743. http://bhxb.buaa.edu.cn/CN/abstract/abstract13229.shtml

    SHAO L F, SHI P, ZHAO Y S.Dynamics modeling and motion programming for electromagnetic formation flight[J].Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(4):738-743(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13229.shtml
    [27]
    LEE H C, CHOI J W.Linear time-varying eigenstructure assignment with flight control application[J].IEEE Transactions on Aerospace and Electronic Systems, 2004, 40(1):145-157. doi: 10.1109/TAES.2004.1292149
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(5)  / Tables(1)

    Article Metrics

    Article views(965) PDF downloads(292) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return