Abstract
In this chapter, we consider coordination control of a group of UAV agents with constant and in general nonidentical speeds. The control input is designed to steer their orientations and the control objective is to achieve a desired formation configuration for all the agents subject to constant-speed constraints. Through a formation feasibility analysis by a three-agent example, we show that it is generally impossible to control and maintain a formation by constant-speed agents if target formation shapes are defined by agents’ actual positions. We then adopt a circular motion center as a virtual position for each agent to define the target formation shape. Two different formation design approaches, namely, a displacement-based approach and a distance-based approach, are discussed in detail to coordinate a group of constant-speed agents in achieving a target formation with stable circular motions via limited interactions.
G. S. Seyboth is now with Robert Bosch Automotive Steering GmbH.
Text and figures of this chapter were reproduced from Z. Sun and B.D.O. Anderson, Formation feasibility on coordination control of networked heterogeneous systems with drift terms, IEEE 55th Conference on Decision and Control (CDC), IEEE, 2016, 3462–3467. https://doi.org/10.1109/CDC.2016.7798788.
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Section 2.3 of this chapter includes material reproduced with permission from Sun, Z., Anderson, B.D.O.: Formation feasibility on coordination control of networked heterogeneous systems with drift terms. In: Proc. of the 55th Conference on Decision and Control, pp. 3462–3467. IEEE 2016.
References
Anderson, B.D.O., Fidan, B., Yu, C., Walle, D.: UAV formation control: theory and application. In: Recent Advances in Learning and Control, pp. 15–33. Springer (2008)
Anderson, B.D.O., Yu, C., Fidan, B., Hendrickx, J.M.: Rigid graph control architectures for autonomous formations. IEEE Control Syst. Mag. 28(6), 48–63 (2008)
Briñón-Arranz, L., Seuret, A., Canudas-de Wit, C.: Cooperative control design for time-varying formations of multi-agent systems. IEEE Trans. Autom. Control 59(8), 2283–2288 (2014)
Cao, Y., Yu, W., Ren, W., Chen, G.: An overview of recent progress in the study of distributed multi-agent coordination. IEEE Trans. Industr. Inf. 9(1), 427–438 (2013)
Dimarogonas, D.V., Kyriakopoulos, K.J.: On the rendezvous problem for multiple nonholonomic agents. IEEE Trans. Autom. Control 52(5), 916–922 (2007)
Fidan, B., Gazi, V., Zhai, S., Cen, N., Karatas, E.: Single-view distance-estimation-based formation control of robotic swarms. IEEE Trans. Industr. Electron. 60(12), 5781–5791 (2013)
Francis, B.A., Maggiore, M.: Flocking and Rendezvous in Distributed Robotics. Springer (2016)
Hendrickson, B.: Conditions for unique graph realizations. SIAM J. Comput. 21(1), 65–84 (1992)
Krick, L., Broucke, M.E., Francis, B.A.: Stabilisation of infinitesimally rigid formations of multi-robot networks. Int. J. Control 82(3), 423–439 (2009)
Lin, Z., Francis, B.A., Maggiore, M.: Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Trans. Autom. Control 50(1), 121–127 (2005)
Liu, T., Jiang, Z.P.: Distributed formation control of nonholonomic mobile robots without global position measurements. Automatica 49(2), 592–600 (2013)
Marshall, J.A., Broucke, M.E., Francis, B.A.: Pursuit formations of unicycles. Automatica 42(1), 3–12 (2006)
Mesbahi, M., Egerstedt, M.: Graph theoretic methods in multiagent networks. Princeton University Press (2010)
Oh, K.K., Park, M.C., Ahn, H.S.: A survey of multi-agent formation control. Automatica 53, 424–440 (2015)
Ren, W., Beard, R.W.: Distributed Consensus in Multi-Vehicle Cooperative Control. Springer, London (2008)
Sepulchre, R., Paley, D.A., Leonard, N.E.: Stabilization of planar collective motion: all-to-all communication. IEEE Trans. Autom. Control 52(5), 811–824 (2007)
Sepulchre, R., Paley, D.A., Leonard, N.E.: Stabilization of planar collective motion with limited communication. IEEE Trans. Autom. Control 53(3), 706–719 (2008)
Seyboth, G.S.: On distributed and cooperative control design for networks of dynamical systems. Ph.D. thesis, University of Stuttgart (2016)
Seyboth, G.S., Wu, J., Qin, J., Yu, C., Allgower, F.: Collective circular motion of unicycle type vehicles with nonidentical constant velocities. IEEE Trans. Control Netw. Syst. 1(2), 167–176 (2014)
Sun, Z., Anderson, B.D.O.: Formation feasibility on coordination control of networked heterogeneous systems with drift terms. In: Proceedings of the 55th Conference on Decision and Control, pp. 3462–3467. IEEE (2016)
Sun, Z., Mou, S., Anderson, B.D.O., Cao, M.: Exponential stability for formation control systems with generalized controllers: a unified approach. Syst. Control Lett. 93, 50–57 (2016)
Sun, Z., Seyboth, G.S., Anderson, B.D.O.: Collective control of multiple unicycle agents with non-identical constant speeds: tracking control and performance limitation. In: Proceedings of the 2015 IEEE Multi-Conference on Systems and Control (MSC), pp. 1361–1366. IEEE (2015)
Swartling, J.O., Shames, I., Johansson, K.H., Dimarogonas, D.V.: Collective circumnavigation. Unmanned Syst. 2(03), 219–229 (2014)
Tabuada, P., Pappas, G.J., Lima, P.: Motion feasibility of multi-agent formations. IEEE Trans. Rob. 21(3), 387–392 (2005)
Xargay, E., Dobrokhodov, V., Kaminer, I., Pascoal, A.M., Hovakimyan, N., Cao, C.: Time-critical cooperative control of multiple autonomous vehicles. IEEE Control Syst. Mag. 32(5), 49 (2012)
Zheng, R., Liu, Y., Sun, D.: Enclosing a target by nonholonomic mobile robots with bearing-only measurements. Automatica 53, 400–407 (2015)
Acknowledgements
This work was supported by the Australian Research Council under grant DP130103610 and DP160104500, and the DAAD-Go8 German–Australian Collaboration Project. Zhiyong Sun was supported by the Prime Minister’s Australia Asia Incoming Endeavour Postgraduate Award.
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Anderson, B.D.O., Sun, Z., Seyboth, G.S., Yu, C. (2018). Collective Formation Control of Multiple Constant-Speed UAVs with Limited Interactions. In: Tempo, R., Yurkovich, S., Misra, P. (eds) Emerging Applications of Control and Systems Theory. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-67068-3_2
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