The affine formation tracking problem for fixed-wing unmanned aerial vehicles (UAVs) is considered in this paper
where fixed-wing UAVs are modeled as unicycle-type agents with asymmetrical speed constraints. A group of UAVs are required to generate and track a time-varying target formation obtained by affinely transforming a nominal formation. To handle this problem
a distributed control law based on stress matrix is proposed under the leader-follower control scheme. It is proved
theoretically
that followers can converge to the desired positions and achieve affine transformations while tracking diverse trajectories. Furthermore
a saturated control strategy is proposed to meet the speed constraints of fixed-wing UAVs
and numerical simulations are executed to verify the effectiveness of our proposed affine formation tracking control strategy in improving maneuverability.
关键词
Keywords
references
Beard RW , Ferrin J , Humpherys J , 2014 . Fixed wing UAV path following in wind with input constraints . IEEE Trans Contr Syst Technol , 22 ( 6 ): 2103 - 2117 . doi: 10.1109/TCST.2014.2303787 http://doi.org/10.1109/TCST.2014.2303787
Chen H , Wang XK , Shen LC , et al. , 2021 . Formation flight of fixed-wing UAV swarms: a group-based hierarchical approach . Chin J Aeronaut , 34 ( 2 ): 504 - 515 . doi: 10.1016/j.cja.2020.03.006 http://doi.org/10.1016/j.cja.2020.03.006
Chen LM , Mei J , Li CJ , et al. , 2020 . Distributed leader-follower affine formation maneuver control for high-order multiagent systems . IEEE Trans Autom Contr , 65 ( 11 ): 4941 - 4948 . doi: 10.1109/TAC.2020.2986684 http://doi.org/10.1109/TAC.2020.2986684
Fathian K , Summers TH , Gans NR , 2018 . Distributed formation control and navigation of fixed-wing UAVs at constant altitude . Int Conf on Unmanned Aircraft Systems , p. 300 - 307 . doi: 10.1109/ICUAS.2018.8453462 http://doi.org/10.1109/ICUAS.2018.8453462
Lin YJ , Lin ZY , Sun ZY , et al. , 2021 . A unified approach for finite-time global stabilization of affine, rigid and translational formation . IEEE Trans Autom Contr , early access . doi: 10.1109/TAC.2021.3084247 http://doi.org/10.1109/TAC.2021.3084247
Lin ZY , Wang LL , Chen ZY , et al. , 2016 . Necessary and sufficient graphical conditions for affine formation control . IEEE Trans Autom Contr , 61 ( 10 ): 2877 - 2891 . doi: 10.1109/TAC.2015.2504265 http://doi.org/10.1109/TAC.2015.2504265
Liu ZH , Wang XK , Shen LC , et al. , 2020 . Mission-oriented miniature fixed-wing UAV swarms: a multilayered and distributed architecture . IEEE Trans Syst Man Cybern Syst , 52 ( 3 ): 1588 - 1602 . doi: 10.1109/TSMC.2020.3033935 http://doi.org/10.1109/TSMC.2020.3033935
Miao ZQ , Liu YH , Wang YN , et al. , 2018 . Distributed estimation and control for leader-following formations of nonholonomic mobile robots . IEEE Trans Autom Sci Eng , 15 ( 4 ): 1946 - 1954 . doi: 10.1109/TASE.2018.2810253 http://doi.org/10.1109/TASE.2018.2810253
Oh KK , Park MC , Ahn HS , 2015 . A survey of multi-agent formation control . Automatica , 53 : 424 - 440 . doi: 10.1016/j.automatica.2014.10.022 http://doi.org/10.1016/j.automatica.2014.10.022
Onuoha O , Tnunay H , Ding ZT , 2019a . Affine formation maneuver control of multi-agent systems with triple-integrator dynamics . American Control Conf , p. 5334 - 5339 . doi: 10.23919/ACC.2019.8814353 http://doi.org/10.23919/ACC.2019.8814353
Onuoha O , Tnunay H , Li ZH , et al. , 2019b . Optimal affine formation control of linear multi-agent system . IEEE 15 th Int Conf on Control and Automation , p. 851 - 856 . doi: 10.1109/ICCA.2019.8900001 http://doi.org/10.1109/ICCA.2019.8900001
Paranjape AA , Chung SJ , Kim K , et al. , 2018 . Robotic herding of a flock of birds using an unmanned aerial vehicle . IEEE Trans Robot , 34 ( 4 ): 901 - 915 . doi: 10.1109/TRO.2018.2853610 http://doi.org/10.1109/TRO.2018.2853610
Ren W , Beard RW , Atkins EM , 2007 . Information consensus in multivehicle cooperative control . IEEE Contr Syst Mag , 27 ( 2 ): 71 - 82 . doi: 10.1109/MCS.2007.338264 http://doi.org/10.1109/MCS.2007.338264
Wang XK , Shen LC , Liu ZH , et al. , 2019 . Coordinated flight control of miniature fixed-wing UAV swarms: methods and experiments . Sci China Inform Sci , 62 ( 11 ): 212204 . doi: 10.1007/s11432-018-9887-5 http://doi.org/10.1007/s11432-018-9887-5
Wang YZ , Shan M , Wang DW , 2020 . Motion capability analysis for multiple fixed-wing UAV formations with speed and heading rate constraints . IEEE Trans Contr Netw Syst , 7 ( 2 ): 977 - 989 . doi: 10.1109/TCNS.2019.2929658 http://doi.org/10.1109/TCNS.2019.2929658
Wu S , 2013 . Aircraft motion equation . In: Song SJ (Ed.), Aircraft Fight Control System . Beihang University Press , Beijing, China (in Chinese) .
Xu Y , Zhao SY , Luo DL , et al. , 2018 . Affine formation maneuver control of linear multi-agent systems with undirected interaction graphs . IEEE Conf on Decision and Control , p. 502 - 507 . doi: 10.1109/CDC.2018.8619540 http://doi.org/10.1109/CDC.2018.8619540
Xu Y , Li DY , Luo DL , et al. , 2019a . Affine formation maneuver tracking control of multiple second-order agents with time-varying delays . Sci China Technol Sci , 62 ( 4 ): 665 - 676 . doi: 10.1007/s11431-018-9328-2 http://doi.org/10.1007/s11431-018-9328-2
Xu Y , Luo DL , Li DY , et al. , 2019b . Target-enclosing affine formation control of two-layer networked spacecraft with collision avoidance . Chin J Aeronaut , 32 ( 12 ): 2679 - 2693 . doi: 10.1016/j.cja.2019.04.016 http://doi.org/10.1016/j.cja.2019.04.016
Xu Y , Li DY , Luo DL , et al. , 2019c . Two-layer distributed hybrid affine formation control of networked Euler-Lagrange systems . J Franklin Inst , 356 ( 4 ): 2172 - 2197 . doi: 10.1016/j.jfranklin.2018.11.029 http://doi.org/10.1016/j.jfranklin.2018.11.029
Xu Y , Lin ZY , Zhao SY , 2020 . Distributed affine formation tracking control of multiple fixed-wing UAVs . 39 th Chinese Control Conf , p. 4712 - 4717 . doi: 10.23919/CCC50068.2020.9188925 http://doi.org/10.23919/CCC50068.2020.9188925
Zhao SL , Wang XK , Lin ZY , et al. , 2020 . Integrating vector field approach and input-to-state stability curved path following for unmanned aerial vehicles . IEEE Trans Syst Man Cybern Syst , 50 ( 8 ): 2897 - 2904 . doi: 10.1109/TSMC.2018.2839840 http://doi.org/10.1109/TSMC.2018.2839840
Zhao SY , 2018 . Affine formation maneuver control of multiagent systems . IEEE Trans Autom Contr , 63 ( 12 ): 4140 - 4155 . doi: 10.1109/TAC.2018.2798805 http://doi.org/10.1109/TAC.2018.2798805
The trial reading is over, you can activate your VIP account to continue reading.