The multi-agent system composed of multiple carriers is more adaptable to complex environments and can accomplish tasks that traditional single carriers cannot. For the problem of multi-agent formation assembly and formation movement tracking, an improved new algorithm for multi-agent formation cooperative control is proposed. First, based on the task background that the follower agent can only measure relative bearing information through optical sensors in the denial environment, a control law based on relative bearing information and single distance measurement is proposed for the multi-agent formation of the "leader-first follower" structure. Then, the first follower agent can follow the moving leader agent, and the overall team shape of the formation can be zoomed and controlled by changing the distance from the first follower agent to the leader agent. Second, an improved distributed control law is proposed to enable the rest of the follower agents to complete formation flying through only two relative position information. Then, according to the second method of Lyapunov, the energy function of the system is constructed, and the stability of the proposed algorithm is verified. Finally, the effectiveness of the proposed algorithm is confirmed by numerical simulation experiments, which show that the multi-agent system based on the control law can complete the tasks of formation assembly, formation zooming and formation flying.
YE Jiesong
,
GONG Baichun
,
LI Shuang
,
DU Yanli
,
HAO Mingrui
. Multi-agent formation cooperative control using relative bearing information and single-spacing measurement[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021
, 42(7)
: 324610
-324610
.
DOI: 10.7527/S1000-6893.2020.24610
[1] ZHAO S Y, ZELAZO D. Bearing rigidity theory and its applications for control and estimation of network systems:Life beyond distance rigidity[J]. IEEE Control Systems Magazine, 2019, 39(2):66-83.
[2] MOSHTAGH N, MICHAEL N, JADBABAIE A, et al. Bearing-only control laws for balanced circular formations of ground robots[C]//Robotics:Science and Systems IV, 2008.
[3] BISHOP A N. A very relaxed control law for bearing-only triangular formation control[J]. IFAC Proceedings Volumes, 2011, 44(1):5991-5998.
[4] BISHOP A N. Distributed bearing-only quadrilateral formation control[J]. IFAC Proceedings Volumes, 2011, 44(1):4507-4512.
[5] BASIRI M, BISHOP A N, JENSFELT P. Distributed control of triangular formations with angle-only constraints[J]. Systems & Control Letters, 2010, 59(2):147-154.
[6] GUO J, ZHANG C X, LIN M J. Angle-based cooperation control of triangle formation[C]//2015 34th Chinese Control Conference (CCC). Piscataway:IEEE Press, 2015:7386-7391.
[7] ZHAO S Y, LIN F, PENG K M, et al. Distributed control of angle-constrained cyclic formations using bearing-only measurements[J]. Systems & Control Letters, 2014, 63:12-24.
[8] EREN T. Formation shape control based on bearing rigidity[J]. International Journal of Control, 2012, 85(9):1361-1379.
[9] TRINH M H, OH K K, JEONG K, et al. Bearing-only control of leader first follower formations[J]. IFAC-PapersOnLine, 2016, 49(4):7-12.
[10] VAN TRAN Q, TRINH M H, ZELAZO D, et al. Finite-time bearing-only formation control via distributed global orientation estimation[J]. IEEE Transactions on Control of Network Systems, 2019, 6(2):702-712.
[11] TRINH M H, MUKHERJEE D, ZELAZO D, et al. Finite-time bearing-only formation control[C]//2017 IEEE 56th Annual Conference on Decision and Control (CDC). Piscataway:IEEE Press, 2017:1578-1583.
[12] VAN TRAN Q, PARK S H, AHN H S. Bearing-based formation control via distributed position estimation[C]//2018 IEEE Conference on Control Technology and Applications (CCTA).Piscataway:IEEE Press, 2018:658-663.
[13] LI Z H, TNUNAY H, ZHAO S Y, et al. Bearing-only formation control with prespecified convergence time[J]. IEEE Transactions on Cybernetics,2020, PP(99):1-10.
[14] ZHAO S Y, ZELAZO D. Bearing rigidity and almost global bearing-only formation stabilization[J]. IEEE Transactions on Automatic Control, 2016, 61(5):1255-1268.
[15] LI X L, LUO X Y, ZHAO S Y. Globally convergent distributed network localization using locally measured bearings[J]. IEEE Transactions on Control of Network Systems, 2020, 7(1):245-253.
[16] TRON R. Bearing-based formation control with second-order agent dynamics[C]//2018 IEEE Conference on Decision and Control (CDC).Piscataway:IEEE Press, 2018:446-452.
[17] BISHOP A N, SUMMERS T H, ANDERSON B D O. Stabilization of stiff formations with a mix of direction and distance constraints[C]//2013 IEEE International Conference on Control Applications (CCA). Piscataway:IEEE Press, 2013:1194-1199.
[18] FATHIAN K, RACHINSKⅡ D I, SPONG M W, et al. Globally asymptotically stable distributed control for distance and bearing based multi-agent formations[C]//2016 American Control Conference (ACC). Piscataway:IEEE Press, 2016:4642-4648.
[19] ZHAO S Y, ZELAZO D. Translational and scaling formation maneuver control via a bearing-based approach[J]. IEEE Transactions on Control of Network Systems, 2017, 4(3):429-438.
[20] TRINH M H, ZHAO S Y, SUN Z Y, et al. Bearing-based formation control of a group of agents with leader-first follower structure[J]. IEEE Transactions on Automatic Control, 2019, 64(2):598-613.
[21] ZHAO S Y, LI Z H, DING Z T. Bearing-only formation tracking control of multiagent systems[J]. IEEE Transactions on Automatic Control, 2019, 64(11):4541-4554.
[22] LIU G B, ZHANG J Y, LI C C. A leader-following formation control bearing-based approach[C]//2018 Chinese Automation Congress (CAC). Piscataway:IEEE Press, 2018:4075-4080.
[23] VAN TRAN Q, AHN H. Flocking control and bearing-based formation control[C]//2018 18th International Conference on Control, Automation and Systems (ICCAS 2018). Piscataway:IEEE Press, 2018:124-129
[24] SCHIANO F, GIORDANO P R. Bearing rigidity maintenance for formations of quadrotor UAVs[C]//2017 IEEE International Conference on Robotics and Automation (ICRA).Piscataway:IEEE Press, 2017:1467-1474.
[25] SCHIANO F, FRANCHI A, ZELAZO D, et al. A rigidity-based decentralized bearing formation controller for groups of quadrotor UAVs[C]//2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). Piscataway:IEEE Press, 2016:5099-5106.
[26] ZHAO S Y, SUN Z Y, ZELAZO D, et al. Laman graphs are generically bearing rigid in arbitrary dimensions[C]//2017 IEEE 56th Annual Conference on Decision and Control (CDC).Piscataway:IEEE Press, 2017:3356-3361.