Comparison of Linear and Nonlinear Methods for Distributed Control of a Hierarchical Formation of UAVs

A key problem in cooperative robotics is the maintenance of a geometric configuration during movement. As a solution for this, a multi-layered and distributed control system is proposed for the swarm of drones in the formation of hierarchical levels based on the leader–follower approach. The complexity of developing a large system can be reduced in this way. To ensure the tracking performance and response time of the ensemble system, nonlinear and linear control designs are presented; (a) Sliding Mode Control connected with Proportional-Derivative controller and (b) Linear Quadratic Regular with integral action respectively. The safe travel distance strategy for collision avoidance is introduced and integrated into the control designs for maintaining the hierarchical states in the formation. Both designs provide a rapid adoption with respect to their settling time without introducing oscillations for the dynamic flight movement of vehicles in the cases of (a) nominal, (b) plant-model mismatch, and (c) external disturbance inputs. Also, the nominal settling time of the swarm is improved by 44% on average when using the nonlinear method as compared to the linear method. Furthermore, the proposed methods are fully distributed so that each UAV autonomously performs the feedback laws in order to achieve better modularity and scalability.

[1]  D. Galzi,et al.  UAV formations control using high order sliding modes , 2005, 2006 American Control Conference.

[2]  Tong Heng Lee,et al.  Design and implementation of a leader-follower cooperative control system for unmanned helicopters , 2010 .

[3]  Rafael Castro,et al.  Quadrotors flight formation control using a leader-follower approach , 2013, 2013 European Control Conference (ECC).

[4]  Kyrre Glette,et al.  Field-Testing of High-Level Decentralized Controllers for a Multi-Function Drone Swarm , 2018, 2018 IEEE 14th International Conference on Control and Automation (ICCA).

[5]  K. CHOUTRI,et al.  Quadrotors UAVs Swarming Control Under Leader-Followers Formation , 2018, 2018 22nd International Conference on System Theory, Control and Computing (ICSTCC).

[6]  Jan Tommy Gravdahl,et al.  Modelling of UAV formation flight using 3D potential field , 2008, Simul. Model. Pract. Theory.

[7]  Jiawei Zhang,et al.  Design and Build of Swarm Quadrotor UAVs at UGS , 2014 .

[8]  Juvenal Rodríguez-Reséndiz,et al.  Comparison of PD, PID and Sliding-Mode Position Controllers for V–Tail Quadcopter Stability , 2018, IEEE Access.

[9]  Kar-Han Tan,et al.  High Precision Formation Control of Mobile Robots Using Virtual Structures , 1997, Auton. Robots.

[10]  Zhou Chao,et al.  UAV Formation Flight Based on Nonlinear Model Predictive Control , 2012 .

[11]  Pedro Lucas,et al.  A Distributed Control of Movements and Fuzzy Logic-Based Task Allocation for a Swarm of Autonomous Agents , 2018, 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[12]  Youmin Zhang,et al.  Formation control of multiple quadrotors based on leader-follower method , 2015, 2015 International Conference on Unmanned Aircraft Systems (ICUAS).

[13]  Zhihao Cai,et al.  Formation Control of Multiple Unmanned Aerial Vehicles by Event-Triggered Distributed Model Predictive Control , 2018, IEEE Access.

[14]  Iman Izadi,et al.  Sliding mode approach for formation control of multi-agent systems with unknown nonlinear interactions. , 2018, ISA transactions.

[15]  Juha Plosila,et al.  Swarms of Unmanned Aerial Vehicles - A Survey , 2019, J. Ind. Inf. Integr..

[16]  Ludek Zalud,et al.  RECONNAISSANCE MICRO UAV SYSTEM , 2015 .

[17]  P. Wang,et al.  Coordination and control of multiple microspacecraft moving in formation , 1996 .

[18]  Frank Ferrese,et al.  Hovering synchronization of a fleet of quadcopters , 2014, 2014 7th International Symposium on Resilient Control Systems (ISRCS).

[19]  Michael Athans,et al.  Gain and phase margin for multiloop LQG regulators , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[20]  Derek James Bennet,et al.  Verifiable control of a swarm of unmanned aerial vehicles , 2009 .

[21]  Henrique C. Ferreira,et al.  Non linear controller and path planner algorithm for an autonomous variable shape formation flight , 2017, 2017 International Conference on Unmanned Aircraft Systems (ICUAS).

[22]  Sergio Montenegro,et al.  Explicit Model Following Distributed Control Scheme for Formation Flying of Mini UAVs , 2016, IEEE Access.

[23]  Randal W. Beard,et al.  A decentralized approach to formation maneuvers , 2003, IEEE Trans. Robotics Autom..

[24]  Abdullah Basci,et al.  Trajectory Tracking Control of a Four Rotor Unmanned Aerial Vehicle Based on Continuous Sliding Mode Controller , 2017 .

[25]  Tucker R. Balch,et al.  Behavior-based formation control for multirobot teams , 1998, IEEE Trans. Robotics Autom..