Computer Science ›› 2023, Vol. 50 ›› Issue (7): 176-193.doi: 10.11896/jsjkx.220700066

• Artificial Intelligence • Previous Articles     Next Articles

Survey of Analysis and Solutions for Multi-UAV Cooperative Mission Planning Problem Under Multi-constraint Conditions

HU Jiawei, JIA Zequn, SUN Yantao, LIU Qiang   

  1. School of Computer and Information Technology,Beijing Jiaotong University,Beijing 100044,China
    Beijing Key Lab of Traffic Data Analysis and Mining,Beijing 100044,China
  • Received:2022-07-07 Revised:2022-11-04 Online:2023-07-15 Published:2023-07-05
  • About author:HU Jiawei,born in 1999,postgraduate.Her main research interests include UAV task allocation and trajectory planning.LIU Qiang,born in 1980,associate professor,Ph.D supervisor.His main research interests include mobile communication networks,mobile ad hoc networks,and network simulation.
  • Supported by:
    Red Orchard Project of Beijing Jiaotong University(K21GY1400040).

Abstract: Multi-UAV cooperative mission planning is the key technology for the intelligent development of UAV swarms at this stage,and task allocation and trajectory planning are the core parts of UAV mission planning technology.As there are numerous and coupled planning elements,it is important to find a solution strategy that reduces both the coupling and complexity of the problem.Firstly,starting from problem modeling,a general model of task planning problem is established,its common constraints and evaluation indicators are summarized,and its problem solving framework is emphatically analyzed.Secondly,common models and solving algorithms of task assignment problem are expounded from the centralized and distributed perspectives,respectively.Afterwards,single-UAV path planning and path smoothing algorithms are discussed,and cooperative methods with multi-UAV space-time cooperative constraints are summarized.In addition,complex coupling factors in the problem solving process are summarized from the perspectives of constraint coupling,sub-problem coupling and hierarchical structure coupling,and the corres-ponding decoupling strategies are discussed emphatically.Finally,the development trend of multi-UAV cooperative mission planning problem in the future is analyzed.

Key words: Cooperative mission planning, Task assignment, Trajectory planning, Coupling analysis, Decoupling

CLC Number: 

  • TP391
[1]REN H,ZHAO Y,XIAO W,et al.A review of UAV monitoring in mining areas:Current status and future perspectives[J].International Journal of Coal Science & Technology,2019,6(3):320-333.
[2]MAYER M.The new killer drones:Understanding the strategic implications of next-generation unmanned combat aerial vehicles[J].International Affairs,2015,91(4):765-780.
[3]ZHOU Y,RAO B,WANG W.UAV swarm intelligence:Recentadvances and future trends[J].IEEE Access,2020,8:183856-183878.
[4]ZHANG T,LI Q,ZHANG C,et al.Current trends in the deve-lopment of intelligent unmanned autonomous systems[J].Frontiers of Information Technology & Electronic Engineering,2017,18(1):68-85.
[5]QI X G,LI B,FAN Y S,et al.A review of research on task planning with multiple constraints and multiple fields [J].Journal of Intelligent Systems,2020,15(2):204-217.
[6]SHIMA T,RASMUSSEN S,GROSS D.Assigning micro UAVs to task tours in an urban terrain[J].IEEE Transactions on Control Systems Technology,2007,15(4):601-612.
[7]SHEN L C,CHEN J,WANG N.Review of Aircraft MissionPlanning Technology [J].Journal of Aeronautics and Astronautics,2014,35(3):593-606.
[8]HUANG G Q.Multi-aircraft collaborative trajectory optimiza-tion design [J].Modern Defense Technology,2015,43(1):160-167.
[9]FENG Y,SHI W,CHENG G,et al.Benchmarking frameworkfor command and control mission planning under uncertain environment[J].Soft Computing,2020,24(4):2463-2478.
[10]EVERS L,DOLLEVOET T,BARROS A I,et al.Robust UAV mission planning[J].Annals of Operations Research,2014,222(1):293-315.
[11]ANÍBAL O,IVÁN M.Multiple heterogeneous unmanned aerial vehicles[M].Cham:Springer,2007:68-72.
[12]CHANDLER P,PACHTER M,RASMUSSEN S,et al.Distri-buted control for multiple UAVs with strongly coupled tasks[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2003.
[13]YE F,CHEN J,TIAN Y,et al.Cooperative task assignment of a heterogeneous multi-UAV system using an adaptive genetic algorithm[J].Electronics,2020,9(4):687.
[14]KOPEIKIN A,PONDA S S,JOHNSON L B,et al.Multi-uavnetwork control through dynamic task allocation:Ensuring data-rate and bit-error-rate support[C]//2012 IEEE Globecom Workshops.IEEE,2012:1579-1584.
[15]YU J,YONG E,CHEN H Y,et al.Research on two-layer mission planning method for multi-UAV coordinated ground attack[J].Systems Engineering and Electronics,2022,44(9):2849-2857.
[16]YAO W,QI N,WAN N,et al.An iterative strategy for task assignment and path planning of distributed multiple unmanned aerial vehicles[J].Aerospace Science and Technology,2019,86:455-464.
[17]WANG J J,ZHANG Y F,GENG L,et al.Mission planning for heterogeneous tasks with heterogeneous UAVs[C]//2014 13th International Conference on Control Automation Robotics & Vision(ICARCV).IEEE,2014:1484-1489.
[18]WU W N.Research on distributed mission planning technology for multi-unmanned aerial vehicles [D].Harbin:Harbin Institute of Technology,2018.
[19]NGATCHOU P,ZAREI A,EL-SHARKAWI A.Pareto multiobjective optimization[C]//Proceedings of the 13th Interna-tional Conference on,Intelligent Systems Application to Power Systems.IEEE,2005:84-91.
[20]YE Y Y.Research on multi-UCAV collaborative mission planning method[D].Changsha:National University of Defense Technology,2005.
[21]YIN G Y,ZHOU S L,HE P C,et al.Research status and deve-lopment trend of foreign multi-UAV cooperative task assignment [J].Airborne Missiles,2016(5):54-58,82.
[22]CAO Y U,KAHNG A B,FUKUNAGA A S.Cooperative mobile robotics:Antecedents and directions[M]//Robot colonies.Boston:Springer,1997:7-27.
[23]HU Z W,LIANG J H,CHEN L,et al.A hierarchical architecture for formation control of multi-UAV[J].Procedia Enginee-ring,2012,29:3846-3851.
[24]MADRIDANO Á,AL-KAFF A,MARTÍN D,et al.Trajectory planning for multi-robot systems:Methods and applications[J].Expert Systems with Applications,2021,173:114660.
[25]LIU S G,LIU R H,WANG H,et al.New progress of cooperative control technology of UAV swarms abroad[J].Aviation Missile,2021(8):24-31.
[26]HAO C,XIANGKE W,LINCHENG S,et al.Formation flight of fixed-wing UAV swarms:A group-based hierarchical approach[J].Chinese Journal of Aeronautics,2021,34(2):504-515.
[27]YAVUZ H,BRADSHAW A.A new conceptual approach to thedesign of hybrid control architecture for autonomous mobile robots[J].Journal of Intelligent and Robotic Systems,2002,34(1):1-26.
[28]WU W L,WANG X G,CUI N G.Fast and coupled solution for cooperative mission planning of multiple heterogeneous unmanned aerial vehicles[J].Aerospace Science and Technology,2018,79:131-144.
[29]CUI N G,WU W N,GUO J F.Modeling and integrated solution method for distributed collaborative dynamic task planning[J].Chinese Journal of Inertial Technology,2017,25(4):523-529.
[30]WANG R R,WEI W L,YANG M C,et al.Multi-UAV task assignment considering collaborative route planning [J].Journal of Aeronautics and Astronautics,2020,41(S2):24-35.
[31]YAN F,ZHU X,ZHOU Z,et al.A hierarchical mission planning method for simultaneous arrival of multi-UAV coalition[J].Applied Sciences,2019,9(10):1986.
[32]ZHAO Z,YANG J,NIU Y,et al.A hierarchical cooperativemission planning mechanism for multiple unmanned aerial vehicles[J].Electronics,2019,8(4):443.
[33]RICHARDS A,BELLINGHAM J,TILLERSON M,et al.Coordination and control of multiple UAVs[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2002.
[34]JIA G W,WANG J F.Review of research on UAV swarm mission planning method[J].Systems Engineering and Electronic Technology,2021,43(1):99-111.
[35]DANTZIG G B,RAMSER J H.The truck dispatching problem[J].Management science,1959,6(1):80-91.
[36]TOTH P,VIGO D.The vehicle routing problem[M].Philadelphia:Society for Industrial and Applied Mathematics,2002.
[37]SCHUMACHER C,CHANDLER P,PACHTER M,et al.Constrained optimization for UAV task assignment[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2004.
[38]NYGARD K E,CHANDLER P R,PACHTER M.Dynamic network flow optimization models for air vehicle resource allocation[C]//Proceedings of the 2001 American Control Conference.IEEE,2001:1853-1858.
[39]SCHUMACHER C,CHANDLER P,RASMUSSEN S.Task allocation for wide area search munitions via iterative network flow[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2002.
[40]SCHUMACHER C,CHANDLER P R,RASMUSSEN S R.Task al-location for wide area search munitions[C]//Proceedings of the 2002 American Control Conference.IEEE,2002:1917-1922.
[41]LECHLITER M C.Decentralized control for uav path planning and task allocation[M].Morgantown:West Virginia University,2004.
[42]BELLINGHAM J,TILLERSON M,RICHARDS A,et al.Multi-task allocation and path planning for cooperating UAVs[M]//Cooperative control:models,applications and algorithms.Boston:Springer,2003:23-41.
[43]OH H,SHIN H S,KIM S,et al.Cooperative Mission and Path Planning for a Team of UAVs[M].Netherlands:Springer,2015.
[44]SHIMA T,RASMUSSEN S J,SPARKS A G,et al.MultipleTask Assignments for Cooperating Uninhabited Aerial Vehicles using Genetic Algorithms[J].Computers & Operations Research,2006,33(11):3252-3269.
[45]SHIMA T,RASMUSSEN S J.UAV Cooperative Decision and Control:Challenges and Practical Approaches[M].Piscataway:Society for Industrial and Applied Mathematics,2008.
[46]EDISON E,SHIMA T.Integrated Task Assignment and Path Optimization for Cooperating Uninhabited Aerial Vehicles using Genetic Algorithms[J].Computers & Operations Research,2011,38(1):340-356.
[47]ZHEN Z,WEN L,WANG B,et al.Improved contract network protocol algorithm based cooperative target allocation of heterogeneous UAV swarm[J].Aerospace Science and Technology,2021,119:107054.
[48]WANG G S,LI Q,YANG Z.Multi-early warning aircraft intelligence collaboration model based on contract network and petri network [J].Journal of System Simulation,2012,24(12):2550-2555,2561.
[49]FANG H,WANG L L.Dynamic task assignment model of contract network based on Petri net[J].Journal of Hefei University of Technology(Natural Science Edition),2009,32(6):791-795.
[50]NII H P.Blackboard Systems[R].Stanford Univ Ca Knowledge Systems Lab,1986.
[51]MANDAL S,HAN X U,PATTIPATI K R,et al.Agent-based distributed framework for collaborative planning[C]//2010 IEEE Aerospace Conference.IEEE,2010:1-11.
[52]LIU J,ZHANG Y Z.Research on distributed collaborative task decision-making method based on blackboard model[J].Firepower and Command and Control,2017,42(11):43-48.
[53]WHITBROOK A,MENG Q,CHUNG P W H.A robust,dis-tributed task allocation algorithm for time-critical,multi agent systems operating in uncertain environments[C]//International Conference on Industrial,Engineering and Other Applications of Applied Intelligent Systems.Cham:Springer,2017:55-64.
[54]ISMAIL S,SUN L.Decentralized hungarian-based approach for fast and scalable task allocation[C]//2017 International Confe-rence on Unmanned Aircraft Systems(ICUAS).IEEE,2017:23-28.
[55]RASMUSSEN S J,SHIMA T.Branch and bound tree search for assigning cooperating UAVs to multiple tasks[C]//2006 Ame-rican Control Conference.IEEE,2006.
[56]BELLMAN R.Dynamic programming[J].Science,1966,153(3731):34-37.
[57]ALIGHANBARI M,HOW J P.Cooperative task assignment of unmanned aerial vehicles in adversarial environments[C]//Proceedings of the 2005 American Control Conference.IEEE,2005:4661-4666.
[58]CHEN Y,DU C,CHEN J,et al.Cooperative Task Allocation of Multiple VA Vs Based on Greedy Algorithm[C]//2021 IEEE 4th International Conference on Computer and Communication Engineering Technology(CCET).IEEE,2021:408-413.
[59]HU X,MA H,YE Q,et al.Hierarchical method of task assignment for multiple cooperating UAV teams[J].Journal of Systems Engineering and Electronics,2015,26(5):1000-1009.
[60]GAO S,WU J,AI J.Multi-UAV reconnaissance task allocation for heterogeneous targets using grouping ant colony optimization algorithm[J].Soft Computing,2021,25(10):7155-7167.
[61]ZHANG Y Z,LI J W,HU B,et al.An improved PSO algorithm for solving multi-UAV cooperative reconnaissance task decision-making problem[C]//2016 IEEE International Conference on Aircraft Utility Systems(AUS).IEEE,2016:434-437.
[62]XING H,WU H,CHEN Y,et al.A cooperative interference resource allocation method based on improved firefly algorithm[J].Defence Technology,2021,17(4):1352-1360.
[63]GHARRAD H,JABEUR N,YASAR A U H,et al.A five-step drone collaborative planning approach for the management of distributed spatial events and vehicle notification using multi-agent systems and firefly algorithms[J].Computer Networks,2021,198:108282.
[64]ZHANG Y,LI H,MA Y,et al.Cooperative reconnaissance mission planning for heterogeneous UAVs with DCSA[C]//2019 IEEE 15th International Conference on Control and Automation(ICCA).IEEE,2019:417-422.
[65]YUNZHI Z,GANG W,SUN W.Research on the Task Allocation Based on Contract Immune Cuckoo Algorithm[C]//2017 International Conference on Computer Systems,Electronics and Control(ICCSEC).IEEE,2017:1022-1025.
[66]SONG Y,XI Q,XING X,et al.Multi-uav cooperative multi-target allocation method based on differential evolutionary algorithm[C]//2020 39th Chinese Control Conference(CCC).IEEE,2020:1655-1660.
[67]RAJENDRAN V,MAHALINGAM S.Optimal allocation andsizing of FACTS controllers using differential evolution algorithm[J].Control and Intelligent Systems,2013,41(3):136-142.
[68]KURDI H,ALDAOOD M F,AL-MEGREN S,et al.Adaptivetask allocation for multi-UAV systems based on bacteria foraging behaviour[J].Applied Soft Computing,2019,83:105643.
[69]YANG B,DING Y,HAO K.Target searching and trapping for swarm robots with modified bacterial foraging optimization algorithm[C]//Proceeding of the 11th World Congress on Intelligent Control and Automation.IEEE,2014:1348-1353.
[70]GU X P,TANG D Q.Multi-heterogeneous UAV mission planning based on bacterial foraging algorithm [J].Systems Engineering and Electronic Technology,2021,43(11):3312-3320.
[71]SHI J,TAN L,LIAN X,et al.Multi-UAV Task AllocationMethod Based on Improved Bat Algorithm[C]//International Conference on Artificial Intelligence and Security.Cham:Sprin-ger,2021:205-213.
[72]SHI J,TAN L,LIAN X,et al.UAV Task Allocation MethodUsing Swarm Intelligence Optimization Algorithm[C]//China Conference on Wireless Sensor Networks.Singapore:Springer,2021:30-40.
[73]LIN S J,DONG C,CHEN M Z,et al.Overview of New Swarm Intelligence Optimization Algorithms [J].Computer Enginee-ring and Applications,2018,54(12):1-9.
[74]BURKE E,KENDALL G,NEWALL J,et al.Hyper-heuristics:An emerging direction in modern search technology[M]//Handbook of metaheuristics.Boston:Springer,2003:457-474.
[75]BURKE E K,GENDREAU M,HYDE M,et al.Hyper-heuristics:A survey of the state of the art[J].Journal of the Operational Research Society,2013,64(12):1695-1724.
[76]LI X M,YAN J,LIU B,et al.A Review of Research on Multi-Agent Collaborative Task Assignment [J].Computer and Digi-tal Engineering,2014,42(12):2443-2450.
[77]SMITH R G.The contract net protocol:High-level communication and control in a distributed problem solver[J].IEEE Transactions on computers,1980,29(12):1104-1113.
[78]SMITH R G,DAVIS R.Frameworks for cooperation in distri-buted problem solving[J].IEEE Transactions on Systems,Man,and Cybernetics,1981,11(1):61-70.
[79]SMITH R G.The contract net:A formalism for the control of distributed problem solving[C]//Proceedings of the 5th International Joint Conference on Artificial Intelligence.1977:472-472.
[80]ZHANG Z,LIU H,WU G.A Dynamic Task Scheduling Method for Multiple UAVs Based on Contract Net Protocol[J].Sensors,2022,22(12):4486.
[81]CHOI H L,BRUNET L,HOW J P.Consensus-based decentra-lized auctions for robust task allocation[J].IEEE Transactions on Robotics,2009,25(4):912-926.
[82]YE F,CHEN J,SUN Q,et al.Decentralized task allocation for heterogeneous multi-UAV system with task coupling constraints[J].The Journal of supercomputing,2021,77(1):111-132.
[83]TANG J,LIU G,PAN Q.A review on representative swarm intelligence algorithms for solving optimization problems:Applications and trends[J].IEEE/CAA Journal of Automatica Sinica,2021,8(10):1627-1643.
[84]FIORETTO F,PONTELLI E,YEOH W.Distributed constraint optimization problems and applications:A survey[J].Journal of Artificial Intelligence Research,2018,61:623-698.
[85]MATIGNON L,JEANPIERRE L,MOUADDIB A I.Coordinated multi-robot exploration under communication constraints using decentralized markov decision processes[C]//Twenty-sixth AAAI Conference on Artificial Intelligence.2012.
[86]CORNEJO A,DORNHAUS A,LYNCH N,et al.Task alloca-tion in ant colonies[C]//International Symposium on Distributed Computing.Berlin:Springer,2014:46-60.
[87]WU L,ZHANG Z F,WU W.Multi-UCAV Collaborative Task Assignment Based on Distributed Constraint Optimization [J].Journal of Naval Engineering University,2018,30(6):64-68.
[88]HO E,RAJAGOPALAN A,SKVORTSOV A,et al.Game theo-ry in defence applications:a review[J].Sensors,2022,22(3):1032.
[89]GARAPATI K,ROLDÁN J J,GARZÓN M,et al.A game of drones:Game theoretic approaches for multi-robot task allocation in security missions[C]//Iberian Robotics Conference.Cham:Springer,2017:855-866.
[90]LIN Z.Consensus based on learning game theory with a UAV rendezvous application[J].Chinese Journal of Aeronautics,2015,28(1):191-199.
[91]GOERZEN C,KONG Z,METTLER B.A survey of motionplanning algorithms from the perspective of autonomous UAV guidance[J].Journal of Intelligent and Robotic Systems,2010,57(1):65-100.
[92]QUAN L,HAN L,ZHOU B,et al.Survey of UAV motion planning[J].IET Cyber-systems and Robotics,2020,2(1):14-21.
[93]DUCHOCˇF,BABINEC A,KAJAN M,et al.Path planning with modified a star algorithm for a mobile robot[J].Procedia Engineering,2014,96:59-69.
[94]KADRY S,ALFEROV G,FEDOROV V.D-Star AlgorithmModification[J].International Journal of Online & Biomedical Engineering,2020,16(8):108-113.
[95]NOTO M,SATO H.A method for the shortest path search by extended Dijkstra algorithm[C]//SMC 2000 Conference Proceedings.2000 IEEE International Conference on Systems,Man and Cybernetics.2000:2316-2320.
[96]BOHLIN R,KAVRAKI L E.Path planning using lazy PRM[C]//Proceedings 2000 ICRA.Millennium Conference.IEEE International Conference on Robotics and Automation.Symposia Proceedings(Cat.No.00CH37065).IEEE,2000:521-528.
[97]KARAMAN S,WALTER M R,PEREZ A,et al.Anytime motion planning using the RRT[C]//2011 IEEE International Conference on Robotics and Automation.IEEE,2011:1478-1483.
[98]BHATTACHARYA P,GAVRILOVA M L.Voronoi diagram in optimal path planning[C]//4th International Symposium on Voronoi Diagrams in Science and Engineering(ISVD 2007).IEEE,2007:38-47.
[99]WARREN C W.Global path planning using artificial potential fields[C]//1989 IEEE International Conference on Robotics and Automation.IEEE Computer Society,1989:316-321.
[100]ABDALLAOUI S,AGLZIM E H,CHAIBET A,et al.Thorough Review Analysis of Safe Control of Autonomous Vehicles:Path Planning and Navigation Techniques[J].Energies,2022,15(4):1358.
[101]MA C S,MILLER R H.MILP optimal path planning for real-time applications[C]//2006 American Control Conference.IEEE,2006.
[102]BURGER C,LAUER M.Cooperative multiple vehicle trajectory planning using miqp[C]//2018 21st International Conference on Intelligent Transportation Systems(ITSC).IEEE,2018:602-607.
[103]MARTIN C F,SUN S,EGERSTEDT M.Optimal control,statistics and path planning[J].Mathematical and Computer Mo-delling,2001,33(1/2/3):237-253.
[104]JI J,KHAJEPOUR A,MELEK W W,et al.Path planning and tracking for vehicle collision avoidance based on model predictive control with multiconstraints[J].IEEE Transactions on Vehicular Technology,2016,66(2):952-964.
[105]LIU C,LEE S,VARNHAGEN S,et al.Path planning for autonomous vehicles using model predictive control[C]//2017 IEEE Intelligent Vehicles Symposium(IV).IEEE,2017:174-179.
[106]MAILLOT T,BOSCAIN U,GAUTHIER J P,et al.Lyapunov and minimum-time path planning for drones[J].Journal of Dynamical and Control Systems,2015,21(1):47-80.
[107]RAGI S,CHONG E K P.UAV path planning in a dynamic environment via partially observable Markov decision process[J].IEEE Transactions on Aerospace and Electronic Systems,2013,49(4):2397-2412.
[108]AL-SABBAN W H,GONZALEZ L F,SMITH R N.Wind-energy based path planning for unmanned aerial vehicles using Mar-kov decision processes[C]//2013 IEEE International Confe-rence on Robotics and Automation.IEEE,2013:784-789.
[109]GEMEINDER M,GERKE M.GA-based path planning for mobile robot systems employing an active search algorithm[J].Applied Soft Computing,2003,3(2):149-158.
[110]ZHU Z,WANG F,HE S,et al.Global path planning of mobile robots using a memetic algorithm[J].International Journal of Systems Science,2015,46(11):1982-1993.
[111]MASEHIAN E,SEDIGHIZADEH D.A multi-objective PSO-based algorithm for robot path planning[C]//2010 IEEE International Conference on Industrial Technology.IEEE,2010:465-470.
[112]BRAND M,MASUDA M,WEHNER N,et al.Ant colony optimization algorithm for robot path planning[C]//2010 International Conference on Computer Design and Applications.IEEE,2010:436-440.
[113]CHAKRABORTY J,KONAR A,JAIN L C,et al.Cooperative multi-robot path planning using differential evolution[J].Journal of Intelligent & Fuzzy Systems,2009,20(1/2):13-27.
[114]HIDALGO-PANIAGUA A,VEGA-RODRÍGUEZ M A,FER-RUZ J,et al.MOSFLA-MRPP:multi-objective shuffled frog-leaping algorithm applied to mobile robot path planning[J].Engineering Applications of Artificial Intelligence,2015,44:123-136.
[115]AGGARWAL S,KUMAR N.Path planning techniques for unmanned aerial vehicles:A review,solutions,and challenges[J].Computer Communications,2020,149:270-299.
[116]WANG Q,LIU M W,REN W J,et al.A review of common algorithms for UAV trajectory planning[J].Journal of Jilin University(Information Science Edition),2019,37(1):58-67.
[117]TIAN L,COLLINS C.An effective robot trajectory planningmethod using a genetic algorithm[J].Mechatronics,2004,14(5):455-470.
[118]LEKKAS A M,FOSSEN T I.Integral LOS path following for curved paths based on a monotone cubic Hermite spline parametrization[J].IEEE Transactions on Control Systems Technology,2014,22(6):2287-2301.
[119]EPPERSON J F.On the Runge example[J].The AmericanMathematical Monthly,1987,94(4):329-341.
[120]ELHOSENY M,THARWAT A,HASSANIEN A E.Beziercurve based path planning in a dynamic field using modified genetic algorithm[J].Journal of Computational Science,2018,25:339-350.
[121]THARWAT A,ELHOSENY M,HASSANIEN A E,et al.Intelligent Bézier curve-based path planning model using Chaotic Particle Swarm Optimization algorithm[J].Cluster Computing,2019,22(2):4745-4766.
[122]JUDD K,MCLAIN T.Spline based path planning for unmanned air vehicles[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2001.
[123]CONNORS J,ELKAIM G.Analysis of a spline based,obstacle avoiding path planning algorithm[C]//2007 IEEE 65th Vehicular Technology Conference-VTC2007-Spring.IEEE,2007:2565-2569.
[124]STOICAN F,PRODAN I,POPESCU D,et al.Constrained tra-jectory generation for UAV systems using a b-spline parametrization[C]//2017 25th Mediterranean Conference on Control and Automation(MED).IEEE,2017:613-618.
[125]KAN E M,LIM M H,YEO S P,et al.Contour based path planning with B-spline trajectory generation for unmanned aerial vehicles(UAVs) over hostile terrain[J].Journal of Intelligent Learning Systems and Applications,2011,3(3):122.
[126]CHOI Y J,CHEN M,CHOI Y H,et al.Multi-UAV trajectory optimization utilizing a NURBS-based terrain model for an aerial imaging mission[J].Journal of Intelligent & Robotic Systems,2020,97(1):141-154.
[127]FLORES M E,MILAM M B.Trajectory generation for differentially flat systems via NURBS basis functions with obstacle avoidance[C]//2006 American Control Conference.IEEE,2006.
[128]HOLUB J S.Improving particle swarm optimization path planning through inclusion of flight mechanics[D].Ames:Iowa State University,2010.
[129]LIN Y,SARIPALLI S.Path planning using 3D dubins curve for unmanned aerial vehicles[C]//2014 International Conference on Unmanned Aircraft Systems(ICUAS).IEEE,2014:296-304.
[130]SHANMUGAVEL M,TSOURDOS A,WHITE B,et al.Co-ope-rative path planning of multiple UAVs using Dubins paths with clothoid arcs[J].Control engineering practice,2010,18(9):1084-1092.
[131]GIRBÉS V,VANEGAS G,ARMESTO L.Clothoid-based three-dimensional curve for attitude planning[J].Journal of Guidance,Control,and Dynamics,2019,42(8):1886-1898.
[132]RAVANKAR A,RAVANKAR A A,KOBAYASHI Y,et al.Shp:smooth hypocycloidal paths with collision-free and decoupled multi-robot path planning[J].International Journal of Advanced Robotic Systems,2016,13(3):133.
[133]RATLIFF N,ZUCKER M,BAGNELL J A,et al.CHOMP:Gradient optimization techniques for efficient motion planning[C]//2009 IEEE International Conference on Robotics and Automation.IEEE,2009:489-494.
[134]BROCK O,KHATIB O.ELASTIC STRIPS:Real-time pathmodification for mobile manipulation[M]//Robotics Research.London:Springer,1998:5-13.
[135]BROCK O,KHATIB O.ELASTIC STRIPS:A framework for integrated planning and execution[M]//Experimental Robotics VI.London:Springer,2000:329-338.
[136]BROCK O,KHATIB O.ELASTIC STRIPS:A framework for motion generation in human environments[J].The International Journal of Robotics Research,2002,21(12):1031-1052.
[137]BIGGS J,HOLDERBAUM W.Planning rigid body motionsusing elastic curves[J].Mathematics of Control,Signals,and Systems,2008,20(4):351-367.
[138]ZHU Z,SCHMERLING E,PAVONE M.A convex optimization approach to smooth trajectories for motion planning with car-like robots[C]//2015 54th IEEE Conference on Decision and Control(CDC).IEEE,2015:835-842.
[139]MCLAIN T W,BEARD R W.Coordination variables,coordination functions,and cooperative timing missions[J].Journal of Guidance,Control,and Dynamics,2005,28(1):150-161.
[140]MCLAIN T W,CHANDLER P R,PACHTER M.A decomposition strategy for optimal coordination of unmanned air vehicles[C]//Proceedings of the 2000 American Control Conference.IEEE,2000:369-373.
[141]BAO Y,FU X W,GAO X G.Multi-UAV cooperative path planning method based on potential field theory[J].Firepower and Command and Control,2012,37(3):10-12.
[142]WANG Z.Research on key technologies of multi-UAV collaborative planning and control [D].Beijing:Beijing Institute of Technology,2017.
[143]MCLAIN T,BEARD R.Trajectory planning for coordinatedrendezvous of unmanned air vehicles[C]//AIAA Guidance,Navigation,and Control Conference and Exhibit.2000.
[144]SUN X L,MENG Y L,QI N M,et al.Collaborative trajectory planning method for multi-UAV rendezvous process[J].Robo-tics,2015,37(5):621-627.
[145]XU G T,WANG Z,CAO Y,et al.Distributed Sequential Convex Planning of UAV Swarm Trajectory with Dynamic Priority Decoupling [J].Acta Aeronautica Sinica,2022,43(2):420-431.
[146]ROBINSON D R,MAR R T,ESTABRIDIS K,et al.An efficient algorithm for optimal trajectory generation for heterogeneous multi-agent systems in non-convex environments[J].IEEE Robotics and Automation Letters,2018,3(2):1215-1222.
[147]ZHOU S L,QI Y H,ZHANG W G,et al.Research on UAV formation control considering internal collision avoidance[J].Tactical Missile Technology,2016(6):94-98,104.
[148]WEI J,LI X M,DAI J J.Internal collision avoidance of UAV formation based on predictive control[J].Journal of Naval Aeronautical Engineering Institute,2015,30(4):387-391.
[149]AUGUGLIARO F,SCHOELLIG A P,D'ANDREA R.Generation of collision-free trajectories for a quadrocopter fleet:A sequential convex programming approach[C]//2012 IEEE/RSJ International Conference on Intelligent Robots and Systems.IEEE,2012:1917-1922.
[150]CHEN Y,CUTLER M,HOW J P.Decoupled multiagent path planning via incremental sequential convex programming[C]//2015 IEEE International Conference on Robotics and Automation(ICRA).IEEE,2015:5954-5961.
[151]DENG Q,YU J,MEI Y.Deadlock-free consecutive task assignment of multiple heterogeneous unmanned aerial vehicles[J].Journal of Aircraft,2014,51(2):596-605.
[152]YAN J,LI X M,LIU B.Multi-agent cooperative task assignment considering timing constraints [J].Control and Decision,2015,30(11):1999-2003.
[153]ZHANG Y Z,CHEN L,SHI G Q,et al.Research on Multi-UAV Collaborative Task Decision-Making Under Sequence Coupling Constraints [J].Journal of Northwestern Polytechnical University,2018,36(5):890-896.
[154]MOON S,OH E,SHIM D H.An integral framework of task assignment and path planning for multiple unmanned aerial vehicles in dynamic environments[J].Journal of Intelligent & Robotic Systems,2013,70(1):303-313.
[155]YANG J,DONG L Y,WANG H,et al.Multi-cooperative UAV mission planning method using hierarchical optimization method [J].Journal of Command and Control,2019,5(1):41-46.
[156]YAO W,QI N,LIU Y.Online Trajectory Generation with Rendezvous for UAVs Using Multistage Path Prediction[J].Journal of Aerospace Engineering,2016,30(3):04016092.
[157]SUN X L,QI N M,DONG C,et al.Collaborative control method for UAV task allocation and trajectory planning [J].Systems Engineering and Electronic Technology,2015,37(12):2772-2776.
[158]BABEL L.Coordinated Target Assignment and UAV PathPlanning with Timing Constraints[J].Journal of Intelligent & Robotic Systems,2019,94(3):857-869.
[159]YE Y Y,MIN C P.A Hierarchical Decomposition Method for Multi-UCAV Collaborative Mission Planning[J].Firepower and Command and Control,2007(7):11-14.
[1] XU Linling, ZHOU Yuan, HUANG Hongyun, LIU Yang. Real-time Trajectory Planning Algorithm Based on Collision Criticality and Deep Reinforcement Learning [J]. Computer Science, 2023, 50(3): 323-332.
[2] LI Jian-Jun, WANG Xiao-ling, YANG Yu and FU Jia. Emergency Task Assignment Method Based on CQPSO Mobile Crowd Sensing [J]. Computer Science, 2020, 47(6A): 273-277.
[3] LI Zhuo, XU Zhe, CHEN Xin, LI Shu-qin. Location-related Online Multi-task Assignment Algorithm for Mobile Crowd Sensing [J]. Computer Science, 2019, 46(6): 102-106.
[4] XING Wen-kai, GAO Xue-xia, HOU Xiao-mao and ZHAI Ping. Research on Fuzzy Decoupling Energy Efficiency Optimization Algorithm in Cloud Computing Environment [J]. Computer Science, 2017, 44(12): 75-79.
[5] YAN Qiao,QIN Zhi-dong,WANG Shao-yu and YAN Hong-man. Adaptive Simulated Annealing Algorithm for Task Assignment on Homogeneous Multi/Many-core Processors [J]. Computer Science, 2014, 41(6): 18-21.
[6] ZHANG Rui-cheng and WANG Jian-chao. Improved Model of Plate Glancing Flatness and Thickness and its Active Disturbance Rejection Decoupling [J]. Computer Science, 2013, 40(Z11): 392-394.
[7] YANG lin-feng,LI Tao-sheng, LI Jie, CHEN Yan. Parallel Algorithm of Block Bordered Linear Programming [J]. Computer Science, 2011, 38(9): 204-207.
[8] YI Jun, XU Lei. Tasks Assignment Algorithm Based on Entropy for Wireless Sensor and Actor Networks [J]. Computer Science, 2011, 38(6): 106-109.
[9] WANG Zhi-liang,YU Guo-chen,XIE Lun. Three-dimensional Gait Planning for Humanoid Robots Based on Decoupling Synthesis and ZMP Algorithm [J]. Computer Science, 2010, 37(12): 215-217.
[10] HUANG Gang,LI De-hua,YANG Jie. Hybrid Particle Swarm Algorithm for Optimal Motion Planning of Robot Arms [J]. Computer Science, 2009, 36(11): 232-234.
[11] . [J]. Computer Science, 2008, 35(9): 5-6.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!