Experimental Evaluation of Continuum Deformation with a Five Quadrotor Team

This paper experimentally evaluates continuum deformation cooperative control for the first time. Theoretical results are expanded to place a bounding triangle on the leader-follower system such that the team is contained despite nontrivial tracking error. Flight tests were conducted with custom quadrotors running a modified version of ArduPilot on a BeagleBone Blue in M-Air, an outdoor netted flight facility. Motion capture and an onboard inertial measurement unit were used for state estimation. Position error was characterized in single vehicle tests using quintic spline trajectories and different reference velocities. Five-quadrotor leader trajectories were generated, and followers executed the continuum deformation control law in-flight. Flight tests successfully demonstrated continuum deformation; future work in characterizing error propagation from leaders to followers is discussed.

[1]  Randal W. Beard,et al.  A decentralized scheme for spacecraft formation flying via the virtual structure approach , 2003, Proceedings of the 2003 American Control Conference, 2003..

[2]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[3]  David Rubin,et al.  Introduction to Continuum Mechanics , 2009 .

[4]  Wei Ren,et al.  Distributed leaderless consensus algorithms for networked Euler–Lagrange systems , 2009, Int. J. Control.

[5]  Jinde Cao,et al.  Second-order leader-following consensus of nonlinear multi-agent systems via pinning control , 2010, Syst. Control. Lett..

[6]  Rogelio Lozano,et al.  Mini Rotorcraft Flight Formation Control Using Bounded Inputs , 2012, J. Intell. Robotic Syst..

[7]  Nikhil Nigam,et al.  Control of Multiple UAVs for Persistent Surveillance: Algorithm and Flight Test Results , 2012, IEEE Transactions on Control Systems Technology.

[8]  S. Inzucchi,et al.  Management of hyperglycemia in type 2 diabetes: a patient-centered approach. Position Statement of the American Diabetes Association (ADA) and the European Association for the Study of Diabetes (EASD). Diabetes Care 2012;35:1364–1379 , 2013, Diabetes Care.

[9]  Gang Feng,et al.  Containment control of linear multi‐agent systems with multiple leaders of bounded inputs using distributed continuous controllers , 2013, ArXiv.

[10]  Yangquan Chen,et al.  Low-cost Multi-UAV Technologies for Contour Mapping of Nuclear Radiation Field , 2013, J. Intell. Robotic Syst..

[11]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[12]  D. Matthews,et al.  Management of Hyperglycemia in Type 2 Diabetes, 2015: A Patient-Centered Approach: Update to a Position Statement of the American Diabetes Association and the European Association for the Study of Diabetes , 2014, Diabetes Care.

[13]  Debasish Ghose,et al.  Sliding Mode Control-Based Autopilots for Leaderless Consensus of Unmanned Aerial Vehicles , 2014, IEEE Transactions on Control Systems Technology.

[14]  Yangquan Chen,et al.  Multiple UAV Formations for Cooperative Source Seeking and Contour Mapping of a Radiative Signal Field , 2014, J. Intell. Robotic Syst..

[15]  S. Jayasuriya,et al.  Evolution of Multi-Agent Systems as Continua , 2014 .

[16]  Mo-Yuen Chow,et al.  Incremental Welfare Consensus Algorithm for Cooperative Distributed Generation/Demand Response in Smart Grid , 2014, IEEE Transactions on Smart Grid.

[17]  Addy Wahyudie,et al.  Autonomous Formation Flight Algorithm and Platform for Quadrotor UAVs , 2015 .

[18]  Zhiyong Geng,et al.  Finite-time formation control for linear multi-agent systems: A motion planning approach , 2015, Syst. Control. Lett..

[19]  Hossein Rastgoftar.  Continuum Deformation of Multi-Agent Systems , 2016 .

[20]  Wei Wang,et al.  Robust Consensus Control for Leader-Following Multi-agent System under Switching Topologies , 2016, 2016 International Conference on Cybernetics, Robotics and Control (CRC).

[21]  Ella M. Atkins,et al.  Continuum Deformation of Multi-Agent Systems Under Directed Communication Topologies , 2017 .

[22]  Ji Xiang,et al.  Distributed Consensus Based Supply–Demand Balance Algorithm for Economic Dispatch Problem in a Smart Grid With Switching Graph , 2017, IEEE Transactions on Industrial Electronics.

[23]  Wei Xing Zheng,et al.  Containment Control for Second-Order Multiagent Systems Communicating Over Heterogeneous Networks , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[24]  Toru Namerikawa,et al.  Consensus-Based Cooperative Formation Control for Multiquadcopter System With Unidirectional Network Connections , 2018 .

[25]  Ella M. Atkins,et al.  Asymptotic Tracking and Robustness of MAS Transitions Under a New Communication Topology , 2018, IEEE Transactions on Automation Science and Engineering.

[26]  Ella M. Atkins,et al.  Cooperative Aerial Payload Transport Guided by an In Situ Human Supervisor , 2019, IEEE Transactions on Control Systems Technology.