This paper studies leader-follower formation control of networked nonholonomic vehicles of unicycle type. Each vehicle is subject to the velocity constraints consisting of saturated angular velocity and bounded linear velocity with positive-minimum value. Each vehicle is allowed to use its local coordinate frame, and the network topology is described by a directed graph containing a spanning tree. Two dynamic control laws satisfying the velocity constraints are developed respectively, such that the leader-follower formation defined in local coordinate frames can be achieved in two cases. The proposed control laws only require each vehicle to use the information of its neighbors in the network via local measurements and communication. Finally, effectiveness is illustrated by simulation results of an example.
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Cao Y C, Yu W W, Ren W, et al. An overview of recent progress in the study of distributed multi-agent coordination. IEEE Trans Ind Inf, 2013, 9: 427–438
Olfati-Saber R, Fax J A, Murray R M. Consensus and cooperation in networked multi-agent systems. Proc IEEE, 2007, 95: 215–233
Huang P F, Wang D K, Meng Z J, et al. Impact dynamic modeling and adaptive target capturing control for tethered space robots with uncertainties. IEEE/ASME Trans Mechatron, 2016, 21: 2260–2271
Chen J, Gan M G, Huang J, et al. Formation control of multiple euler-lagrange systems via null-space-based behavioral control. Sci China Inf Sci, 2016, 59: 010202
Li X, Zhu D Q, Qian Y. A survey on formation control algorithms for multi-auv system. Unmanned Syst, 2014, 2: 351–359
Oh K K, Park M C, Ahn H S. A survey of multi-agent formation control. Automatica, 2015, 53: 424–440
Wang N, Zhang T W, Xu J Q. Formation control for networked spacecraft in deep space: with or without communication delays and with switching topology. Sci China Inf Sci, 2011, 54: 469–481
Zhang X Y, Duan H B, Yu Y X. Receding horizon control for multi-uavs close formation control based on differential evolution. Sci China Inf Sci, 2010, 53: 223–235
Kolmanovsky I, McClamroch N H. Developments in nonholonomic control problems. IEEE Control Syst, 1995, 15: 20–36
Qu Z. Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles. London: Springer-Verlag London Ltd, 2009
Ren W, Beard R W. Trajectory tracking for unmanned air vehicles with velocity and heading rate constraints. IEEE Trans Control Syst, 2004, 12: 706–716
Gruszka A, Malisoff M, Mazenc F. Bounded tracking controllers and robustness analysis for UAVs. IEEE Trans Autom Control, 2013, 58: 180–187
Liu T, Jiang Z P. Distributed formation control of nonholonomic mobile robots without global position measurements. Automatica, 2013, 49: 592–600
Liu T, Jiang Z P. Distributed nonlinear control of mobile autonomous multi-agents. Automatica, 2014, 50: 1075–1086
Yu X, Liu L. Distributed formation control of nonholonomic vehicles subject to velocity constraints. IEEE Trans Ind Electron, 2016, 63: 1289–1298
Consolini L, Morbidi F, Prattichizzo D, et al. Leader–follower formation control of nonholonomic mobile robots with input constraints. Automatica, 2008, 44: 1343–1349
Shen D B, Sun Z D, Sun W J. Leader-follower formation control without leader’s velocity information. Sci China Inf Sci, 2014, 57: 092202
Léchevin N, Rabbath C A, Sicard P. Trajectory tracking of leader–follower formations characterized by constant line-of-sight angles. Automatica, 2006, 42: 2131–2141
Su Y F, Huang J. Cooperative output regulation of linear multi-agent systems. IEEE Trans Autom Control, 2012, 57: 1062–1066
This work was supported by Research Grants Council of the Hong Kong Special Administrative Region of China (Grant No. Project CityU/11213415).
Conflict of interest The authors declare that they have no conflict of interest.
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Yu, X., Liu, L. Leader-follower formation of vehicles with velocity constraints and local coordinate frames. Sci. China Inf. Sci. 60, 070206 (2017). https://doi.org/10.1007/s11432-016-9094-1
- formation control
- local coordinate frame
- mobile robot
- nonholonomic vehicle
- velocity constraint