Distributed Finite-Time Control Method for Formation Flying

Abstract

In this paper，a dynamic model of single spacecraft is simulated by a double integrator and the communication topology is assumed fixed. Based on the information exchanges among neighbors，the distributed finite-time control protocol is designed and mathematically verified. Adopt the presented control protocol and combined with virtual structure and hierarchical protocol，the formation algorithm is designed，where in a group spacecraft on a lower level takes orders from spacecraft on a higher level. The numerical simulation is conducted，verifying the effectiveness of the proposed method.

Keywords

distributed control / formation flying / finite-time stable / hierarchical control

References

[1] Lim H C,Bang H. Adaptive control for satellite formation flying under thrust misalignment[J]. Acta Astronautica,2009,65(1):112-122
[2] De Queiroz M S,Kapila V,Yan Q. Adaptive nonlinear control of multiple spacecraft formation flying[J]. Journal of Guidance,Control,and Dynamics,2000,23(3):385-390
[3] Slater G L,Byram S M,Williams T W. Collision avoidance for satellites in formation flight[J]. Journal of Guidance,Control,and Dynamics,2006,29(5):1140-1146
[4] Ulybyshev Y. Long-term formation keeping of satellite constellation using linear-quadratic controller[J]. Journal of Guidance,Control,and Dynamics,1998,21(1):109-115
[5] Sun Y G,Wang L. Consensus problems in networks of agents with double-integrator dynamics and time-varying delays[J]. International Journal of Control,2009,82(10):1937-1945
[6] Guo W,Lv J,Chen S,et al. Second-order tracking control for leader–follower multi-agent flocking in directed graphs with switching topology[J]. Systems & Control Letters,2011,60(12):1051-1058
[7] Lu X,Chen S,Lv J. Finite-time tracking for double-integrator multi-agent systems with bounded control input[J]. IET Control Theory & Applications,2013,7(11):1562-1573
[8] Hong Y,Chen G,Bushnell L. Distributed observers design for leader-following control of multi-agent networks[J]. Automatica,2008,44(3):846-850
[9] Cong B L,Liu X D,Chen Z. Distributed attitude synchronization of formation flying via consensus-based virtual structure[J]. Acta Astronautica,2011,68(11):1973-1986
[10] Xiao F,Wang L,Chen J,et al. Finite-time formation control for multi-agent systems[J]. Automatica,2009,45(11):2605-2611
[11] Ni W,Cheng D. Leader-following consensus of multi-agent systems under fixed and switching topologies[J]. Systems & Control Letters,2010,59(3):209-217
[12] Zhou D,Sun S,Teo K L. Guidance laws with finite time convergence[J]. Journal of Guidance,Control,and Dynamics,2009,32(6):1838-1846