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A group of cooperative agents can finish complicated missions that are difficult for a large machine. In the past two decades, spacecraft attitude coordination has attracted significant research attention owing to its wide potential applications. This paper presents a survey of recent research progress on the spacecraft attitude consensus problem, paying particular attention to the papers published in major aerospace, dynamics, automation, and robotics journals since 2015. Attitude consensus concepts for centralized, decentralized, and distributed cases are reviewed. This overview summarizes results on system dynamics and consensus algorithms based on frequently used attitude representations, such as Euler angles, modified Rodrigues parameters, unit quaternions, and rotation matrices. Studies conducted under complicated operating conditions are also covered. Experimental results on attitude consensus are discussed. In the final section, the main conclusions are drawn and several potential research directions are provided.
A group of cooperative agents can finish complicated missions that are difficult for a large machine. In the past two decades, spacecraft attitude coordination has attracted significant research attention owing to its wide potential applications. This paper presents a survey of recent research progress on the spacecraft attitude consensus problem, paying particular attention to the papers published in major aerospace, dynamics, automation, and robotics journals since 2015. Attitude consensus concepts for centralized, decentralized, and distributed cases are reviewed. This overview summarizes results on system dynamics and consensus algorithms based on frequently used attitude representations, such as Euler angles, modified Rodrigues parameters, unit quaternions, and rotation matrices. Studies conducted under complicated operating conditions are also covered. Experimental results on attitude consensus are discussed. In the final section, the main conclusions are drawn and several potential research directions are provided.
Wang, Q. L., Gao, H. J., Alsaadi, F., Hayat, T. An overview of consensus problems in constrained multi-agent coordination. Systems Science & Control Engineering, 2014, 2(1): 275–284.
Abdulghafor, R., Abdullah, S. S., Turaev, S., Othman, M. An overview of the consensus problem in the control of multi-agent systems. Automatika, 2018, 59(2): 143–157.
Cao, Y. C., Yu, W. W., Ren, W., Chen, G. R. An overview of recent progress in the study of distributed multi-agent coordination. IEEE Transactions on Industrial Informatics, 2013, 9(1): 427–438.
Yu, W. W., Wang, H., Hong, H. F., Wen, G. H. Distributed cooperative anti-disturbance control of multi-agent systems: An overview. Science China Information Sciences, 2017, 60(11): 1–14.
Chung, S. J., Miller, D. W., de Weck, O. L. ARGOS testbed: Study of multidisciplinary challenges of future spaceborne interferometric arrays. Optical Engineering, 2004, 43: 2156–2167.
Chen, T., Wen, H., Hu, H. Y., Jin, D. P. Output consensus and collision avoidance of a team of flexible spacecraft for on-orbit autonomous assembly. Acta Astronautica, 2016, 121: 271–281.
Bandyopadhyay, S., Foust, R., Subramanian, G. P., Chung, S. J., Hadaegh, F. Y. Review of formation flying and constellation missions using nanosatellites. Journal of Spacecraft and Rockets, 2016, 53(3): 567–578.
Kristiansen, R., Nicklasson, P. J. Spacecraft formation flying: A review and new results on state feedback control. Acta Astronautica, 2009, 65(11–12): 1537–1552.
Sullivan, J., Grimberg, S., D'Amico, S. Comprehensive survey and assessment of spacecraft relative motion dynamics models. Journal of Guidance, Control, and Dynamics, 2017, 40(8): 1837–1859.
Du, H. B., Li, S. H. Attitude synchronization for flexible spacecraft with communication delays. IEEE Transactions on Automatic Control, 2016, 61(11): 3625–3630.
Du, H. B., Li, S. H. Attitude synchronization control for a group of flexible spacecraft. Automatica, 2014, 50(2): 646–651.
Chen, T., Shan, J. J. Rotation-matrix-based attitude tracking for multiple flexible spacecraft with actuator faults. Journal of Guidance, Control, and Dynamics, 2018, 42(1): 181–188.
Ding, L., Han, Q. L., Ge, X. H., Zhang, X. M. An overview of recent advances in event-triggered consensus of multiagent systems. IEEE Transactions on Cybernetics, 2018, 48(4): 1110–1123.
Zuo, Z. Y., Han, Q. L., Ning, B. D., Ge, X. H., Zhang, X. M. An overview of recent advances in fixed-time cooperative control of multiagent systems. IEEE Transactions on Industrial Informatics, 2018, 14(6): 2322–2334.
Ma, L., Min, H. B., Wang, S. C., Liu, Y., Liao, S. Y. An overview of research in distributed attitude coordination control. IEEE/CAA Journal of Automatica Sinica, 2015, 2(2): 121–133.
Lewis, F. L., Zhang, H. W., Hengster-Movric, K., Das, A. Cooperative Control of Multi-Agent Systems: Optimal and Adaptive Design Approaches. London: Springer London, 2014.
Li, Z. K., Duan, Z. Cooperative Control of Multi-Agent Systems: A Consensus Region Approach. Boca Raton, USA: CRC Press, 2017.
Ye, D., Zou, A. M., Sun, Z. W. Predefined-time predefined-bounded attitude tracking control for rigid spacecraft. IEEE Transactions on Aerospace and Electronic Systems, 2022, 58(1): 464–472.
Xiao, Y., de Ruiter, A., Ye, D., Sun, Z. W. Adaptive fault-tolerant attitude tracking control for flexible spacecraft with guaranteed performance bounds. IEEE Transactions on Aerospace and Electronic Systems, 2021, doi: 10.1109/TAES.2021.3123295.
Chaturvedi, N. A., Sanyal, A. K., McClamroch, N. H. Rigid-body attitude control. IEEE Control Systems Magazine, 2011, 31(3): 30–51.
Chen, T., Shan, J. J. Continuous constrained attitude regulation of multiple spacecraft on SO(3). Aerospace Science and Technology, 2020, 99: 105769.
Zhou, J. K., Ma, G. F., Hu, Q. L. Delay depending decentralized adaptive attitude synchronization tracking control of spacecraft formation. Chinese Journal of Aeronautics, 2012, 25(3): 406–415.
Wu, B. L., Wang, D. W., Poh, E. K. Decentralized sliding-mode control for attitude synchronization in spacecraft formation. International Journal of Robust and Nonlinear Control, 2013, 23(11): 1183–1197.
Zhou, J. K., Hu, Q., Ma, G. Decentralized adaptive output feedback attitude synchronization tracking control of satellite formation flying. International Journal of Innovative Computing, Information and Control, 2012, 8(1B): 977–988
Min, H. B., Wang, S. C., Sun, F. C., Gao, Z. J., Zhang, J. S. Decentralized adaptive attitude synchronization of spacecraft formation. Systems & Control Letters, 2012, 61(1): 238–246.
Zhang, Z., Zhang, Z. X., Zhang, H. Decentralized robust attitude tracking control for spacecraft networks under unknown inertia matrices. Neurocomputing, 2015, 165: 202–210.
Xu, C., Wu, B. L., Wang, D. W., Zhang, Y. C. Decentralized event-triggered finite-time attitude consensus control of multiple spacecraft under directed graph. Journal of the Franklin Institute, 2021, 358(18): 9794–9817.
VanDyke, M. C., Hall, C. D. Decentralized coordinated attitude control within a formation of spacecraft. Journal of Guidance, Control, and Dynamics, 2006, 29(5): 1101–1109.
Sarlette, A., Sepulchre, R., Leonard, N. E. Cooperative attitude synchronization in satellite swarms: A consensus approach. IFAC Proceedings Volumes, 2007, 40(7): 223–228.
Ren, W. Formation keeping and attitude alignment for multiple spacecraft through local interactions. Journal of Guidance, Control, and Dynamics, 2007, 30(2): 633–638.
Zou, A. M. Distributed attitude synchronization and tracking control for multiple rigid bodies. IEEE Transactions on Control Systems Technology, 2014, 22(2): 478–490.
Guo, Y. H., Lu, P. L., Liu, X. D. Attitude coordination for spacecraft formation with multiple communication delays. Chinese Journal of Aeronautics, 2015, 28(2): 527–534.
Thunberg, J., Goncalves, J., Hu, X. M. Consensus and formation control on SE(3) for switching topologies. Automatica, 2016, 66: 109–121.
Meng, Z. Y., Dimarogonas, D. V., Johansson, K. H. Attitude coordinated control of multiple underactuated axisymmetric spacecraft. IEEE Transactions on Control of Network Systems, 2017, 4(4): 816–825.
Tsiotras, P., Corless, M., Longuski, J. M. A novel approach to the attitude control of axisymmetric spacecraft. Automatica, 1995, 31(8): 1099–1112.
Ma, X., Sun, F. C., Li, H. B., He, B. Neural-network-based sliding-mode control for multiple rigid-body attitude tracking with inertial information completely unknown. Information Sciences, 2017, 400–401: 91–104.
Zhang, Z., Zhang, Z. X., Zhang, H. Distributed attitude control for multispacecraft via Takagi–Sugeno fuzzy approach. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(2): 642–654.
Zhang, C. X., Wang, J. H., Sun, R., Zhang, D. X., Shao, X. W. Multi-spacecraft attitude cooperative control using model-based event-triggered methodology. Advances in Space Research, 2018, 62(9): 2620–2630.
Zou, A. M., Fan, Z. Distributed fixed-time attitude coordination control for multiple rigid spacecraft. International Journal of Robust and Nonlinear Control, 2020, 30(1): 266–281.
Yu, Y. J., Li, Z. H., Yang, Z. H., Ding, Z. T. Distributed back-stepping consensus protocol for attitude synchronization and tracking on undirected graphs. Unmanned Systems, 2019, 7(1): 25–32.
Xu, C., Wu, B. L., Cao, X. B., Zhang, Y. C. Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft. Nonlinear Dynamics, 2019, 95(4): 2625–2638.
Liu, X. P., Zou, Y., Meng, Z. Y., You, Z. Coordinated attitude synchronization and tracking control of multiple spacecraft over a communication network with a switching topology. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(2): 1148–1162.
Jin, X., Shi, Y., Tang, Y., Wu, X. T. Event-triggered attitude consensus with absolute and relative attitude measurements. Automatica, 2020, 122: 109245.
Crnkić, A., Jaćimović, M., Jaćimović, V., Mijajlović, N. Consensus and coordination on groups SO(3) and S3 over constant and state-dependent communication graphs. Automatika, 2021, 62(1): 76–83.
Yang, H. J., You, X., Hua, C. C. Attitude tracking control for spacecraft formation with time-varying delays and switching topology. Acta Astronautica, 2016, 126: 98–108.
Mehrabian, A., Khorasani, K. Distributed and cooperative quaternion-based attitude synchronization and tracking control for a network of heterogeneous spacecraft formation flying mission. Journal of the Franklin Institute, 2015, 352(9): 3885–3913.
Zou, A. M., de Ruiter, A. H. J., Kumar, K. D. Distributed finite-time velocity-free attitude coordination control for spacecraft formations. Automatica, 2016, 67: 46–53.
Hu, D. Y., Zhang, S. J., Zou, A. M. Velocity-free fixed-time attitude cooperative control for spacecraft formations under directed graphs. International Journal of Robust and Nonlinear Control, 2021, 31(8): 2905–2927.
Xu, M., Fang, Y. M., Li, J. X., Zhao, X. D. Chattering free distributed consensus control for attitude tracking of spacecraft formation system with unmeasurable angular velocity. International Journal of Control, Automation and Systems, 2020, 18(9): 2277–2288.
Long, J., Wang, W., Liu, K. X., Lü, J. H. Distributed adaptive attitude synchronization of multiple spacecraft with event-triggered communication. IEEE Transactions on Aerospace and Electronic Systems, 2022, 58(1): 262–274.
Huang, Y., Meng, Z. Y. Global finite-time distributed attitude synchronization and tracking control of multiple rigid bodies without velocity measurements. Automatica, 2021, 132: 109796.
Abdessameud, A., Tayebi, A., Polushin, I. G. Attitude synchronization of multiple rigid bodies with communication delays. IEEE Transactions on Automatic Control, 2012, 57(9): 2405–2411.
Chen, T. Continuous leaderless synchronization control of multiple spacecraft on SO(3). Astrodynamics, 2021, 5(3): 279–291.
Li, Z. K., Duan, Z. S. Distributed adaptive attitude synchronization of multiple spacecraft. Science China Technological Sciences, 2011, 54(8): 1992–1998.
Gui, H. C., Vukovich, G. Distributed almost global finite-time attitude consensus of multiple spacecraft without velocity measurements. Aerospace Science and Technology, 2018, 75: 284–296.
Wang, Y. Q., Yu, C. B. Distributed attitude and translation consensus for networked rigid bodies based on unit dual quaternion. International Journal of Robust and Nonlinear Control, 2017, 27(17): 3971–3989.
Rezaee, H., Abdollahi, F. Almost sure attitude consensus in multispacecraft systems with stochastic communication links. IFAC-PapersOnLine, 2017, 50(1): 9392–9397.
Chen, T., Shan, J. J. Koopman-operator-based attitude dynamics and control on SO(3). Journal of Guidance, Control, and Dynamics, 2020, 43(11): 2112–2126.
Yang, D. P., Chen, Z., Liu, X. D. Distributed adaptive attitude tracking of multiple spacecraft with a leader of non-zero input. International Journal of Control, Automation and Systems, 2013, 11(5): 938–946.
Yang, D. P., Liu, X. D. Distributed robust attitude tracking of multiple spacecraft with disturbances and unmodelled dynamics. Mathematical Problems in Engineering, 2015, 2015: 941697.
He, X. Y., Wang, Q. Y., Yu, W. W. Finite-time distributed cooperative attitude tracking control for multiple rigid spacecraft. Applied Mathematics and Computation, 2015, 256: 724–734.
Zhu, Z. H., Guo, Y., Zhong, C. X. Distributed attitude coordination tracking control for spacecraft formation with time-varying delays. Transactions of the Institute of Measurement and Control, 2018, 40(6): 2082–2087.
Chen, T., Shan, J. J., Wen, H. Distributed passivity-based control for multiple flexible spacecraft with attitude-only measurements. Aerospace Science and Technology, 2019, 94: 105408.
Zhu, Z. H., Guo, Y., Gao, Z. Distributed coordinated attitude regulation control for multiple spacecraft with time-varying uncertainties. Journal of Circuits, Systems and Computers, 2020, 29(1): 2050018.
Wang, T. Q., Huang, J. Consensus of multiple spacecraft systems over switching networks by attitude feedback. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(3): 2018–2025.
Cui, B., Xia, Y. Q., Liu, K., Wang, Y. J., Zhai, D. H. Velocity-observer-based distributed finite-time attitude tracking control for multiple uncertain rigid spacecraft. IEEE Transactions on Industrial Informatics, 2020, 16(4): 2509–2519.
Wang, T. Q., Huang, J. Leader-following consensus of multiple spacecraft systems with disturbance rejection over switching networks by adaptive learning control. International Journal of Robust and Nonlinear Control, 2022, 32(5): 3001–3020.
Zhou, J. K., Hu, Q. L., Friswell, M. I. Decentralized finite time attitude synchronization control of satellite formation flying. Journal of Guidance, Control, and Dynamics, 2013, 36(1): 185–195.
Ma, L., Wang, S. C., Min, H. B., Liu, Y., Liao, S. Y. Distributed finite-time attitude dynamic tracking control for multiple rigid spacecraft. IET Control Theory & Applications, 2015, 9(17): 2568–2573.
Liu, T., Huang, J. Leader-following attitude consensus of multiple rigid body systems subject to jointly connected switching networks. Automatica, 2018, 92: 63–71.
Gui, H. C., de Ruiter, A. H. J. Global finite-time attitude consensus of leader-following spacecraft systems based on distributed observers. Automatica, 2018, 91: 225–232.
Hu, Q. L., Zhang, J., Zhang, Y. M. Velocity-free attitude coordinated tracking control for spacecraft formation flying. ISA Transactions, 2018, 73: 54–65.
Wang, W. J., Li, C. J., Sun, Y. C., Ma, G. F. Distributed coordinated attitude tracking control for spacecraft formation with communication delays. ISA Transactions, 2019, 85: 97–106.
Peng, X. H., Geng, Z. Y. Distributed observer-based leader-follower attitude consensus control for multiple rigid bodies using rotation matrices. International Journal of Robust and Nonlinear Control, 2019, 29(14): 4755–4774.
Xu, C., Wu, B. L., Wang, D. W., Zhang, Y. C. Distributed fixed-time output-feedback attitude consensus control for multiple spacecraft. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(6): 4779–4795.
Huang, Y., Meng, Z. Y. Global distributed attitude tracking control of multiple rigid bodies via quaternion-based hybrid feedback. IEEE Transactions on Control of Network Systems, 2021, 8(1): 367–378.
Dong, Y., Chen, J. Nonlinear observer-based approach for cooperative control of networked rigid spacecraft systems. Automatica, 2021, 128: 109552.
Zhu, Z. H., Gao, Z., Guo, Y. Distributed global velocity-free attitude coordination control for multiple spacecraft without unwinding. International Journal of Control, Automation and Systems, 2022, 20(2): 411–420.
Chen, T., Shan, J. J., Wen, H. Distributed adaptive attitude control for networked underactuated flexible spacecraft. IEEE Transactions on Aerospace and Electronic Systems, 2019, 55(1): 215–225.
Bayezit, İ., Fidan, B. Distributed cohesive motion control of flight vehicle formations. IEEE Transactions on Industrial Electronics, 2013, 60(12): 5763–5772.
Wang, Y. Q., Wu, Q. H., Wang, Y., Yu, D. Consensus algorithm for multiple quadrotor systems under fixed and switching topologies. Journal of Systems Engineering and Electronics, 2013, 24(5): 818–827.
Zhao, W. B., Liu, H., Wang, B. H. Model-free attitude synchronization for multiple heterogeneous quadrotors via reinforcement learning. International Journal of Intelligent Systems, 2021, 36(6): 2528–2547.
Ren, W. Distributed cooperative attitude synchronization and tracking for multiple rigid bodies. IEEE Transactions on Control Systems Technology, 2010, 18(2): 383–392.
Meng, Z. Y., Ren, W., You, Z. Distributed finite-time attitude containment control for multiple rigid bodies. Automatica, 2010, 46(12): 2092–2099.
Du, H. B., Li, S. H., Qian, C. J. Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transactions on Automatic Control, 2011, 56(11): 2711–2717.
Zou, A. M., Kumar, K. D. Robust attitude coordination control for spacecraft formation flying under actuator failures. Journal of Guidance, Control, and Dynamics, 2012, 35(4): 1247–1255.
Zou, A. M., Kumar, K. D. Neural network-based distributed attitude coordination control for spacecraft formation flying with input saturation. IEEE Transactions on Neural Networks and Learning Systems, 2012, 23(7): 1155–1162.
Wang, H. L. Weighted average attitude consensus of multiple spacecraft on directed graphs. IFAC Proceedings Volumes, 2013, 46(20): 503–507.
Lyu, J. T., Gao, D. Attitude synchronization for multiple spacecraft with input constraints. Chinese Journal of Aeronautics, 2014, 27(2): 321–327.
Ma, L., Wang, S. C., Min, H. B., Liao, S. Y., Liu, Z. G. Distributed attitude consensus for multiple rigid spacecraft under jointly connected switching topologies. Journal of Control Science and Engineering, 2016, 2016: 2540914.
Du, H. B., Chen, M. Z. Q., Wen, G. H. Leader-following attitude consensus for spacecraft formation with rigid and flexible spacecraft. Journal of Guidance, Control, and Dynamics, 2016, 39(4): 944–951.
Cheng, Y. Y., Du, H. B., He, Y. G., Jia, R. T. Distributed finite-time attitude regulation for multiple rigid spacecraft via bounded control. Information Sciences, 2016, 328: 144–157.
Li, D. Y., Ma, G. F., Li, C. J., He, W., Mei, J., Ge, S. S. Distributed attitude coordinated control of multiple spacecraft with attitude constraints. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(5): 2233–2245.
Sui, W. S., Duan, G. R., Hou, M. Z., Zhang, M. R. Distributed fixed-time attitude coordinated tracking for multiple rigid spacecraft via a novel integral sliding mode approach. Journal of the Franklin Institute, 2020, 357(14): 9399–9422.
Hong, H. F., Anderson, B. D. O. Distributed fixed-time attitude tracking consensus for rigid spacecraft systems under directed graphs. IEEE Control Systems Letters, 2020, 4(3): 698–703.
Liu, H., Cheng, M., Meng, Q. Y., Tian, Y., Li, X. Robust fault-tolerant attitude synchronization control for formation flying satellites. International Journal of Adaptive Control and Signal Processing, 2022, 36(3): 503–520.
Dimarogonas, D. V., Tsiotras, P., Kyriakopoulos, K. J. Leader-follower cooperative attitude control of multiple rigid bodies. Systems & Control Letters, 2009, 58(6): 429–435.
Yu, L. Y., Ye, D., Sun, Z. W. Finite-time resilient attitude coordination control for multiple rigid spacecraft with communication link faults. Aerospace Science and Technology, 2021, 111: 106560.
Xu, C., Wu, B. L., Zhang, Y. C. Distributed prescribed-time attitude cooperative control for multiple spacecraft. Aerospace Science and Technology, 2021, 113: 106699.
Cong, B. L., Liu, X. D., Chen, Z. Distributed attitude synchronization of formation flying via consensus-based virtual structure. Acta Astronautica, 2011, 68(11–12): 1973–1986.
Abdessameud, A., Tayebi, A. Attitude synchronization of a group of spacecraft without velocity measurements. IEEE Transactions on Automatic Control, 2009, 54(11): 2642–2648.
Wang, Q. L., Gao, H. J., Qin, J. H., Yu, C. B. Attitude coordinated tracking of multiple spacecraft with control input saturation. IFAC Proceedings Volumes, 2014, 47(3): 9203–9208.
Cai, H., Huang, J. The leader-following attitude control of multiple rigid spacecraft systems. Automatica, 2014, 50(4): 1109–1115.
Cai, H., Huang, J. Leader-following attitude consensus of multiple rigid body systems by attitude feedback control. Automatica, 2016, 69: 87–92.
Wang, Y. Q., Yu, C. B., Yu, F. M., Gao, L. Quaternion-based attitude synchronisation for multiple rigid bodies in the presence of actuator saturation. International Journal of Systems Science, 2017, 48(3): 505–514.
Cai, H., Huang, J. Leader-following attitude consensus of multiple uncertain spacecraft systems subject to external disturbance. International Journal of Robust and Nonlinear Control, 2017, 27(5): 742–760.
Zong, Q., Shao, S. K., Tian, B. L., Zhang, X. Y., Liu, W. J. Finite-time output feedback attitude synchronization for multiple spacecraft. Transactions of the Institute of Measurement and Control, 2018, 40(10): 3023–3039.
Zhu, Z. H., Guo, Y. Adaptive fault-tolerant attitude tracking control for spacecraft formation with unknown inertia. International Journal of Adaptive Control and Signal Processing, 2018, 32(1): 13–26.
Zhang, C. X., Wang, J. H., Zhang, D. X., Shao, X. W. Fault-tolerant adaptive finite-time attitude synchronization and tracking control for multi-spacecraft formation. Aerospace Science and Technology, 2018, 73: 197–209.
Zhu, Z. H., Guo, Y. Robust adaptive attitude tracking coordination control for spacecraft formation with unknown time-varying inertia. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2019, 233(1): 310–323.
Zhu, Z. H., Guo, Y. Robust adaptive finite-time attitude tracking and synchronization control for multi-spacecraft with actuator saturation. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2019, 233(2): 629–640.
Lu, M. B., Liu, L. Leader-following attitude consensus of multiple rigid spacecraft systems under switching networks. IEEE Transactions on Automatic Control, 2020, 65(2): 839–845.
Gao, Z., Zhu, Z. H., Guo, Y. Distributed finite-time coordinated attitude tracking control for multiple spacecraft with actuator saturation. Journal of Circuits, Systems and Computers, 2020, 29(13): 2050212.
Zhang, Z., Shi, Y., Yan, W. S. A novel attitude-tracking control for spacecraft networks with input delays. IEEE Transactions on Control Systems Technology, 2021, 29(3): 1035–1047.
Wang, S. M., Shu, Z., Chen, T. W. Event-triggered attitude synchronization of multiple rigid-body systems. Systems & Control Letters, 2021, 149: 104879.
Bohn, J., Sanyal, A. K. Almost global finite-time stabilization of rigid body attitude dynamics using rotation matrices. International Journal of Robust and Nonlinear Control, 2016, 26(9): 2008–2022.
Wang, S. Q., Hoagg, J. B., Seigler, T. M. Orientation control on SO(3) with piecewise sinusoids. Automatica, 2019, 100: 114–122.
Berkane, S., Abdessameud, A., Tayebi, A. Hybrid output feedback for attitude tracking on SO(3). IEEE Transactions on Automatic Control, 2018, 63(11): 3956–3963.
Sanyal, A., Fosbury, A., Chaturvedi, N., Bernstein, D. S. Inertia-free spacecraft attitude tracking with disturbance rejection and almost global stabilization. Journal of Guidance, Control, and Dynamics, 2009, 32(4): 1167–1178.
Zou, Y., Meng, Z. Y. Velocity-free leader–follower cooperative attitude tracking of multiple rigid bodies on SO(3). IEEE Transactions on Cybernetics, 2019, 49(12): 4078–4089.
Zheng, Z., Shen, M. Q. Inertial vector measurements based attitude synchronization control for multiple spacecraft formation. Aerospace Science and Technology, 2019, 93: 105309.
Chen, T., Shan, J. J. Distributed adaptive fault-tolerant attitude tracking of multiple flexible spacecraft on SO(3). Nonlinear Dynamics, 2019, 95(3): 1827–1839.
Tan, C., Xu, G. D., Dong, L. M., Xie, Y. E., He, Y. S., Hao, Y., Han, F. Rotation matrix-based finite-time attitude coordinated control for spacecraft. Advances in Space Research, 2022, 69(2): 976–988.
Shi, X. N., Zhou, D., Chen, X. W., Zhou, Z. G. Actor-critic-based predefined-time control for spacecraft attitude formation system with guaranteeing prescribed performance on SO(3). Aerospace Science and Technology, 2021, 117: 106898.
Sharma, M., Kar, I. Almost global attitude consensus of multi-agent rigid bodies on TSO(3)N in the presence of disturbances and directed topology. Nonlinear Dynamics, 2021, 104(4): 3617–3631.
Chen, T., Shan, J. J. Distributed spacecraft attitude tracking and synchronization under directed graphs. Aerospace Science and Technology, 2021, 109: 106432.
Maadani, M., Butcher, E. A. Pose consensus control of multi-agent rigid body systems with homogenous and heterogeneous communication delays. International Journal of Robust and Nonlinear Control, 2022, 32(6): 3714–3736.
Thunberg, J., Song, W. J., Montijano, E., Hong, Y. G., Hu, X. M. Distributed attitude synchronization control of multi-agent systems with switching topologies. Automatica, 2014, 50(3): 832–840.
Nazari, M., Butcher, E. A., Yucelen, T., Sanyal, A. K. Decentralized consensus control of a rigid-body spacecraft formation with communication delay. Journal of Guidance, Control, and Dynamics, 2016, 39(4): 838–851.
Zong, Q., Shao, S. K. Decentralized finite-time attitude synchronization for multiple rigid spacecraft via a novel disturbance observer. ISA Transactions, 2016, 65: 150–163.
Gao, H., Xia, Y. Q., Zhang, X. P., Zhang, G. C. Distributed fixed-time attitude coordinated control for multiple spacecraft with actuator saturation. Chinese Journal of Aeronautics, 2022, 35(4): 292–302.
Shen, Q., Yue, C. F., Goh, C. H. Velocity-free attitude reorientation of a flexible spacecraft with attitude constraints. Journal of Guidance, Control, and Dynamics, 2017, 40(5): 1293–1299.
Lee, U., Mesbahi, M. Feedback control for spacecraft reorientation under attitude constraints via convex potentials. IEEE Transactions on Aerospace and Electronic Systems, 2014, 50(4): 2578–2592.
Di Gennaro, S. Passive attitude control of flexible spacecraft from quaternion measurements. Journal of Optimization Theory and Applications, 2003, 116(1): 41–60.
Hu, Q. L., Xiao, B. Intelligent proportional-derivative control for flexible spacecraft attitude stabilization with unknown input saturation. Aerospace Science and Technology, 2012, 23(1): 63–74.
Wang, Q. S., Duan, Z. S., Lv, Y. Z. Distributed attitude synchronization control for multiple flexible spacecraft without modal variable measurement. International Journal of Robust and Nonlinear Control, 2018, 28(10): 3435–3453.
Chen, T., Chen, G. R. Distributed adaptive tracking control of multiple flexible spacecraft under various actuator and measurement limitations. Nonlinear Dynamics, 2018, 91(3): 1571–1586.
Huang, D., Wang, Q. S., Duan, Z. S. Distributed attitude control for multiple flexible spacecraft under actuator failures and saturation. Nonlinear Dynamics, 2017, 88(1): 529–546.
Chen, T., Wen, H., Wei, Z. T. Distributed attitude tracking for multiple flexible spacecraft described by partial differential equations. Acta Astronautica, 2019, 159: 637–645.
Li, W. J., Cheng, D. Y., Liu, X. G., Wang, Y. B., Shi, W. H., Tang, Z. X., Gao, F., Zeng, F. M., Chai, H. Y., Luo, W. B. et al. On-orbit service (OOS) of spacecraft: A review of engineering developments. Progress in Aerospace Sciences, 2019, 108: 32–120.
McCamish, S. B., Romano, M., Nolet, S., Edwards, C. M., Miller, D. W. Flight testing of multiple-spacecraft control on SPHERES during close-proximity operations. Journal of Spacecraft and Rockets, 2009, 46(6): 1202–1213.
Liu, T. Y., Wu, Q. P., Sun, B. Q., Han, F. T. Microgravity level measurement of the Beijing drop tower using a sensitive accelerometer. Scientific Reports, 2016, 6: 31632.
Selig, H., Dittus, H., Lämmerzahl, C. Drop tower microgravity improvement towards the nano-g level for the MICROSCOPE payload tests. Microgravity Science and Technology, 2010, 22(4): 539–549.
Sawada, H., Ui, K., Mori, M., Yamamoto, H., Hayashi, R., Matunaga, S., Ohkami, Y. Micro-gravity experiment of a space robotic arm using parabolic flight. Advanced Robotics, 2004, 18(3): 247–267.
Sun, C., Chen, S. Y., Yuan, J. P., Zhu, Z. X. A six-DOF buoyancy tank microgravity test bed with active drag compensation. Microgravity Science and Technology, 2017, 29(5): 391–402.
Rybus, T., Seweryn, K. Planar air-bearing microgravity simulators: Review of applications, existing solutions and design parameters. Acta Astronautica, 2016, 120: 239–259.
Jung, J., Park, S. Y., Kim, S. W., Eun, Y., Chang, Y. K. Hardware-In-the-Loop Simulations of spacecraft attitude synchronization using the State-Dependent Riccati Equation technique. Advances in Space Research, 2013, 51(3): 434–449.
Jung, J., Park, S. Y., Eun, Y., Kim, S. W., Park, C. Hardware simulations of spacecraft attitude synchronization using Lyapunov-based controllers. International Journal of Aeronautical and Space Sciences, 2018, 19(1): 120–138.
This work was supported by the National Natural Science Foundation of China under Grant No. 12102174, the Science and Technology on Space Intelligent Control Laboratory (Grant No. 2021-JCJQ-LB-010-17), the Fundamental Research Funds for the Central Universities (No. NP2022301), and the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) (Grant No. MCMS-I-0122K01).