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Distributed and cooperative quaternion-based attitude synchronization and tracking control for a network of heterogeneous spacecraft formation flying mission. (English) Zbl 1395.93426

Summary: Distributed control strategies for the attitude synchronization and set-point tracking control of multiple heterogeneous spacecraft (SC) in a formation flying mission are proposed in this work. The first scheme requires feedback and exchange of angular velocity measurements among the SC in the formation. However, the second scheme does not require measurement and exchange of angular velocities (or their estimates) among the SC in the formation. We have employed unit-quaternion, which is a singularity free attitude representation, to describe the SC attitude so that large attitude maneuvers can be executed. We have also developed two constrained control schemes for attitude synchronization and set-point tracking control for (i) a single SC with and without angular velocity feedback, and (ii) SC formation flying with and without angular velocity feedback. A number of simulation case studies are provided to demonstrate the advantages and benefits of our proposed algorithms as compared to the available results in the literature.

MSC:

93C95 Application models in control theory
93D15 Stabilization of systems by feedback
93C15 Control/observation systems governed by ordinary differential equations
Full Text: DOI

References:

[1] S. Unwin, C. Beichman, Terrestrial planet finder: science and technology overview, SPIE Astronomical Telescopes and Instrumentation, 2004.
[2] B. Mennesson, Expected science capabilities of the tpf interferometer, SPIE Astronomical Telescopes and Instrumentation, 2004.
[3] L. Kaltenegger, Search for extra-terrestrial planets: The DARWIN mission - target stars and array architectures (Ph.D. dissertation), Karl Franzens University, Graz, Austria, 2004.
[4] Beard, R.; Lawton, J.; Hadaegh, F. Y., A coordination architecture for spacecraft formation control, IEEE Trans. Control Syst. Technol., 9, 6, 777-789, (2001)
[5] Wang, P.; Hadaegh, F., Coordination and control of multiple microspacecraft moving in formation, J. Astron. Sci., 44, 3, 315-355, (1996)
[6] Wang, P.; Hadaegh, F.; Lau, K., Synchronized formation rotation and attitude control of multiple free-flying spacecraft, J. Guid. Control Dyn., 22, 1, 28-35, (1999)
[7] V. Kapilal, A.G. Sparks, J.M. Buffington, D.P.Q. Yan, Spacecraft formation flying: dynamics and control, in: American Control Conference, vol. 6, 1999, pp. 4137-4141.
[8] H.-H.Y.W. Kang, A. Sparks, Coordinated control of relative attitude for satellite formation, in: AIAA Guidance, Navigation, and Control Conference, 2001.
[9] Ren, W.; Beard, R., Decentralized scheme for spacecraft formation flying via the virtual structure approach, AIAA J. Guid. Control Dyn., 27, 1, 73-82, (2004)
[10] R.B.J. Lawton, F. Hadaegh, Elementary attitude formation maneuvers via leader-following and behavior-based control, in: AIAA Guidance, Navigation, and Control Conference, 2000.
[11] VanDyke, M.; Hall, C. D., Decentralized coordinated attitude control within a formation of spacecraft, J. Guid. Control Dyn., 29, 5, 1101-1109, (2006)
[12] Lawton, R. B.J. R., Synchronized multiple spacecraft rotations, Automatica, 38, 8, 1359-1364, (2002) · Zbl 1032.93553
[13] Abdessameud, A.; Tayebi, A., Attitude synchronization of a group of spacecraft without velocity measurements, IEEE Trans. Autom. Control, 54, 11, 2642-2648, (2009) · Zbl 1367.93413
[14] Ren, W., Distributed cooperative attitude synchronization and tracking for multiple rigid bodies, IEEE Trans. Control Syst. Technol., 18, 2, 383-392, (2010)
[15] Kristiansena, R.; Loria, A.; Chailletc, A.; Nicklasson, P.-J., Spacecraft relative rotation tracking without angular velocity measurements, Automatica, 45, 3, 750-756, (2009) · Zbl 1168.93333
[16] Kang, W.; Yeh, H.-H., Co-ordinated attitude control of multi-satellite systems, Int. J. Robust Nonlinear Control, 12, 2-3, 185-205, (2002) · Zbl 0999.93048
[17] W. Kang, A. Sparks, Coordinated attitude and formation control of multisatellite systems, in: AIAA Guidance, Navigation, and Control Conference, 2002.
[18] Lizarralde, F.; Wen, J., Attitude control without angular velocity measurementsa passivity approach, IEEE Trans. Autom. Control, 41, 3, 468-472, (1996) · Zbl 0846.93065
[19] Akella, M. R., Rigid body attitude tracking without velocity feedback, Syst. Control Lett., 42, 321-326, (2001) · Zbl 1032.93048
[20] Tayebi, A., Unit quaternion-based output feedback for the attitude tracking problem, IEEE Trans. Autom. Control, 53, 6, 1516-1520, (2008) · Zbl 1367.93541
[21] Bing Xiao, Q. H.; Zhang, Y., Fault-tolerant attitude control for flexible spacecraft without angular velocity magnitude measurement, AIAA J. Guid. Control Dyn., 34, 5, 1556-1561, (2011)
[22] Bing Xiao, Q. H.; Zhang, Y., Fault-tolerant attitude control for spacecraft under loss of actuator effectiveness, AIAA J. Guid. Control Dyn., 34, 3, 927-932, (2011)
[23] W. Ren, R. Beard, Virtual structure based spacecraft formation control with formation feedback, in: AIAA Guidance, Navigation, and Control Conference, 2002.
[24] VanDyke, M.; Hall, C., Decentralized coordinated attitude control within a formation of spacecraft, AIAA J. Guid. Control Dyn., 29, 5, 1101-1109, (2006)
[25] Erdonga, J.; Xiaoleib, J.; Zhaoweia, S., Robust decentralized attitude coordination control of spacecraft formation, Syst. Control Lett., 57, 7, 567-577, (2008) · Zbl 1140.93008
[26] Dimarogonas, D. V.; Tsiotras, P.; Kyriakopoulos, K. J., Leader-follower cooperative attitude control of multiple rigid bodies, Syst. Control Lett., 58, 6, 429-435, (2009) · Zbl 1161.93002
[27] Z. Meng, W. Ren, Z. You, Decentralized cooperative attitude tracking using modified rodriguez parameters, in: IEEE Conference on Decision and Control, 2009, pp. 853-858.
[28] Zhang, K.; Demetriou, M. A., Adaptive attitude synchronization control of spacecraft formation with adaptive synchronization gains, J. Guid. Control Dyn., 37, 5, 1644-1651, (2014)
[29] S. Weng, D. Yue, Distributed event-triggered cooperative attitude control of multiple rigid bodies with leader-follower architecture, Int. J. Syst. Sci. 2014, http://dx.doi.org/10.1080/00207721.2014.891777. · Zbl 1333.93021
[30] Zou, A.-M.; Kumar, K. D., Quaternion-based distributed output feedback attitude coordination control for spacecraft formation flying, J. Guid. Control Dyn., 36, 2, 548-556, (2013)
[31] Ortega, R.; Nicklasson, P. J.; Sira-Ramirez, H., Passivity-based control of Euler-Lagrange systems: mechanical, electrical, and electromechanical applications, (1998), Springer-Verlag New York, NY
[32] Moosavian, S. A.A.; Papadopoulos, E., Explicit dynamics of space free-flyers with multiple manipulators via spacemaple, J. Adv. Robot., 18, 2, 223-244, (2004)
[33] S. Sagatun, T. Fossen, Lagrangian formulation of underwater vehicles׳ dynamics, in: IEEE International Conference on Systems, Man, and Cybernetics, vol. 2, 1991, pp. 1029-1034.
[34] Schaub, H.; Junkins, J. L., Analytical mechanics of aerospace systems, (2003), AIAA Reston, VA
[35] Wie, B., Space vehicle dynamics and control, (1998), AIAA Education Series Reston, VA · Zbl 0973.70001
[36] Ahmed, J.; Coppola, V. T.; Bernstein, D., Adaptive asymptotic tracking of spacecraft attitude motion with inertia matrix identification, AIAA J. Guid. Navig. Control, 21, 5, 684-691, (1998)
[37] T. Krogstad, J. Gravdahl, 6-dof mutual synchronization of formation flying spacecraft, in: IEEE Conference on Decision and Control, 2006, pp. 5706-5711.
[38] Chung, S.-J.; Ahsun, U.; Slotine, J.-J., Application of synchronization to formation flying Spacecraftlagrangian approach, AIAA J. Guid. Control Dyn., 32, 2, 512-526, (2009)
[39] Godsil, C.; Royle, G., Algebraic graph theory, (2001), Springer-Verlag New York, NY · Zbl 0968.05002
[40] C. Wu, Agreement and consensus problems in groups of autonomous agents with linear dynamics, in: IEEE International Symposium on Circuits and Systems, 2005, pp. 292-295.
[41] Tanner, H.; Jadbabaie, A.; Pappas, G. J., Flocking in fixed and switching networks, IEEE Trans. Autom. Control, 52, 5, 863-868, (2007) · Zbl 1366.93414
[42] Kim, Y.; Mesbahi, M., Quadratically constrained attitude control via semidefinite programming, IEEE Trans. Autom. Control, 49, 731-735, (2014) · Zbl 1365.70037
[43] Khalil, H. K., Nonlinear systems, (2002), Prentice Hall Upper Saddle River, NJ · Zbl 1003.34002
[44] Angeli, D.; Sontag, E. D.; Wang, Y., A characterization of integral input-to-state stability, IEEE Trans. Autom. Control, 45, 6, 1082-1096, (2000) · Zbl 0979.93106
[45] Sontag, E., Input to state stabilitybasic concepts and results, Nonlinear Optim. Control Theory, 1932, 163-220, (2008) · Zbl 1175.93001
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