Abstract
In this paper, we study the leader-following attitude consensus problem for multi-rigid-body systems under jointly connected topologies coupled with time-varying communication delays. By associating an auxiliary vector for each follower, the control algorithm is designed, and the stability of the whole system is proved by using Lyapunov Krasovskii function and contradiction method. In terms of linear matrix inequalities, we derive sufficient conditions that guarantee all followers asymptotically converge to the leader.
This work is supported by National Natural Science Foundation of China (Grant No. 61203354).
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References
Li S, Du H, Shi P (2014) Distributed attitude control for multiple spacecraft with communication delays. IEEE Trans Aerosp Electron Syst 50(3):1765–1773
Guo Y, Lu P, Liu X (2015) Attitude coordination for spacecraft formation with multiple communication delays. Chin J Aeronaut 28(1):527–534
Abdessameud A, Tayebi A, Polushin IG (2012) Attitude synchronization of multiple rigid bodies with communication delays. IEEE Trans Autom Control 57(9):2405–2411
Zhou JK, Ma GF, Hu QL (2012) Delay depending decentralized adaptive attitude synchronization tracking control of spacecraft formation. Chin J Aeronaut 25(3):406–415
Li GM, Liu LD (2012) Coordinated multiple spacecraft attitude control with communication time delays and uncertainties. Chin J Aeronaut 25(5):698–708
Meng ZY, You Z, Li GH, Fan CS (2010) Cooperative attitude control of multiple rigid bodies with multiple time-varying delays and dynamically changing topologies. Math Probl Eng 2010 Article ID: 621594 :1–19. doi:10.1155/2010/621594
Jin ED, Sun ZW (2009) Robust attitude synchronisation controllers design for spacecraft formation. IET Control Theory Appl 3(3):325–339
Zhang BQ, Song SM, Chen XL (2012) Robust coordinated control for formation flying satellites with time delays and switching topologies. J Astronaut 33(7):910–919
Thunberg J, Song WJ, Montijano E, Hong YG, Hu XM (2014) Distributed attitude synchronization control of multi-agent systems with switching topologies. Automatica 50(3):832–840
Chen S, Shi P, Zhang WG, Zhao LD (2014) Finite-time consensus on strongly convex balls of Riemannian manifolds with switching directed communication topologies. J Math Anal Appl 409(2):663–675
Du H, Li S, Qian C (2011) Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Trans Autom Control 56(11):2711–2717
Su Y, Huang J (2012) Stability of a class of linear switching systems with applications to two consensus problems. IEEE Trans Autom Control 57:1420–1430
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Ma, L., Wang, S., Min, H. (2017). Leader-Following Attitude Consensus for Multi-rigid-body Systems with Time-Varying Communication Delays and Jointly Connected Topologies. In: Balas, V., Jain, L., Zhao, X. (eds) Information Technology and Intelligent Transportation Systems. Advances in Intelligent Systems and Computing, vol 454. Springer, Cham. https://doi.org/10.1007/978-3-319-38789-5_51
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DOI: https://doi.org/10.1007/978-3-319-38789-5_51
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