Adaptive Multirobot Formation Planning to Enclose and Track a Target With Motion and Visibility Constraints

Addressing the problem of enclosing and tracking a target requires multiple agents with adequate motion strategies. We consider a team of unicycle robots with a standard camera on board. The robots must maintain the desired enclosing formation while dealing with their nonholonomic motion constraints. The reference formation trajectories must also guarantee permanent visibility of the target by overcoming the limited field of view of the cameras. In this article, we present a novel approach to characterize the conditions on the robots’ trajectories taking into account the motion and visual constraints. We also propose online and offline motion planning strategies to address the constraints involved in the task of enclosing and tracking the target. These strategies are based on maintaining the formation shape with variable size or, alternatively, on maintaining the size of the formation with flexible shape.

[1]  Gutemberg Guerra-Filho,et al.  Optical Motion Capture: Theory and Implementation , 2005, RITA.

[2]  A Franchi,et al.  Distributed target localization and encircling with a multi-robot system , 2011 .

[3]  Saba Ramazani,et al.  Rigidity-Based Multiagent Layered Formation Control , 2017, IEEE Transactions on Cybernetics.

[4]  Camille Alain Rabbath,et al.  Model Predictive Control for the dynamic encirclement of a target , 2012, 2012 American Control Conference (ACC).

[5]  Nathan Michael,et al.  Vision-Based, Distributed Control Laws for Motion Coordination of Nonholonomic Robots , 2009, IEEE Transactions on Robotics.

[6]  Ming Cao,et al.  Controlling Rigid Formations of Mobile Agents Under Inconsistent Measurements , 2015, IEEE Transactions on Robotics.

[7]  Pratap Tokekar,et al.  Multi-target visual tracking with aerial robots , 2014, 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[8]  Rafael Murrieta-Cid,et al.  Motion planning for maintaining landmarks visibility with a differential drive robot , 2014, Robotics Auton. Syst..

[9]  Jean-Paul Laumond,et al.  On the nonholonomic nature of human locomotion , 2008, Auton. Robots.

[10]  Amir G. Aghdam,et al.  Cooperative control of multi-agent systems with limited angular field of view , 2012, 2012 American Control Conference (ACC).

[11]  Antonio Bicchi,et al.  Shortest Paths for a Robot With Nonholonomic and Field-of-View Constraints , 2010, IEEE Transactions on Robotics.

[12]  Mario Jino,et al.  Experimental Results from Application of Fault-Sensitive Testing Strategies , 2005, RITA.

[13]  Gonzalo López-Nicolás,et al.  Formation of differential-drive vehicles with field-of-view constraints for enclosing a moving target , 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA).

[14]  Alexander Domahidi,et al.  Real-Time Motion Planning for Aerial Videography With Real-Time With Dynamic Obstacle Avoidance and Viewpoint Optimization , 2017, IEEE Robotics and Automation Letters.

[15]  Antonio Bicchi,et al.  Shortest paths for finned, winged, legged, and wheeled vehicles with side-looking sensors , 2012, Int. J. Robotics Res..

[16]  Stergios I. Roumeliotis,et al.  Multirobot Active Target Tracking With Combinations of Relative Observations , 2011, IEEE Transactions on Robotics.

[17]  Zhiyong Sun,et al.  Distributed stabilization control of rigid formations with prescribed orientation , 2016, Autom..

[18]  Mireille E. Broucke,et al.  Stabilisation of infinitesimally rigid formations of multi-robot networks , 2009, Int. J. Control.

[19]  Andrea Cavallaro,et al.  Distributed vision-based flying cameras to film a moving target , 2015, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[20]  Simon Lacroix,et al.  Multi-robot target detection and tracking: taxonomy and survey , 2016, Auton. Robots.

[21]  Brian D. O. Anderson,et al.  Localization and Circumnavigation of a Slowly Moving Target Using Bearing Measurements , 2014, IEEE Transactions on Automatic Control.

[22]  Gianluca Antonelli,et al.  The Entrapment/Escorting Mission , 2008, IEEE Robotics & Automation Magazine.

[23]  Ming Cao,et al.  A distributed reconfigurable control law for escorting and patrolling missions using teams of unicycles , 2010, 49th IEEE Conference on Decision and Control (CDC).

[24]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..

[25]  George Kantor,et al.  Feedback Control of Underactuated Systems via Sequential Composition: Visually Guided Control of a Unicycle , 2003, ISRR.

[26]  Antonio Bicchi,et al.  A Hybrid-Control Approach to the Parking Problem of a Wheeled Vehicle Using Limited View-Angle Visual Feedback , 2004, Int. J. Robotics Res..

[27]  Vijay Kumar,et al.  Cooperative Visibility Maintenance for Leader–Follower Formations in Obstacle Environments , 2014, IEEE Transactions on Robotics.

[28]  Nicholas R. Gans,et al.  Homography-Based Control Scheme for Mobile Robots With Nonholonomic and Field-of-View Constraints , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Naomi Ehrich Leonard,et al.  Stabilization of Planar Collective Motion: All-to-All Communication , 2007, IEEE Transactions on Automatic Control.

[30]  Rafael Murrieta-Cid,et al.  Optimal Paths for Landmark-Based Navigation by Differential-Drive Vehicles With Field-of-View Constraints , 2007, IEEE Transactions on Robotics.

[31]  Giuseppe Oriolo,et al.  Decentralized multi-robot encirclement of a 3D target with guaranteed collision avoidance , 2013, Auton. Robots.

[32]  Antonio Bicchi,et al.  On time-optimal trajectories for differential drive vehicles with field-of-view constraints , 2014, 53rd IEEE Conference on Decision and Control.

[33]  Gonzalo López-Nicolás,et al.  Three-dimensional multirobot formation control for target enclosing , 2014, 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[34]  Dongbing Gu,et al.  Cooperative Target Tracking Control of Multiple Robots , 2012, IEEE Transactions on Industrial Electronics.