Entrapping a target in an arbitrarily shaped orbit by a single robot using bearing measurements

The problem of entrapping a static target by a robot with a single integrator dynamic model using bearing-only measurements is studied in this paper. Existing works need to either estimate the position of the target with the robot position a priori, or finally maintain an exact circular motion around the target. In this paper, we propose an estimator–controller framework for the robot, where the estimator is designed to estimate the relative position with bearing measurements by exploiting the orthogonality property, based on which the controller is proposed to achieve the desired relative position. Within this framework, the robot can entrap the target without any prior position information in an arbitrarily shaped orbit. We characterize sufficient conditions on the desired orbiting shapes which can support the robot for successful localization and entrapment simultaneously. It is proved that the estimation and tracking errors both converge to zero as time goes to infinity. Extensions to a moving target and multiple robots are also discussed and analyzed respectively. Simulations testify the effectiveness of the proposed method.

[1]  Gang Feng,et al.  Circular formation of networked dynamic unicycles by a distributed dynamic control law , 2018, Autom..

[2]  Andrey V. Savkin,et al.  Tight circumnavigation of multiple moving targets based on a new method of tracking environmental boundaries , 2017, Autom..

[3]  Xinping Guan,et al.  Distributed Formation Target Tracking in Local Coordinate Systems , 2019, 2019 IEEE 15th International Conference on Control and Automation (ICCA).

[4]  Andrea Gasparri,et al.  Distributed entrapment for multi-robot systems with uncertainties , 2013, 52nd IEEE Conference on Decision and Control.

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

[6]  J. Lawrence,et al.  A Catalog of Special Plane Curves , 2013 .

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

[8]  Danwei Wang,et al.  Cooperative Control of Multiple UAVs for Moving Source Seeking , 2013, 2013 International Conference on Unmanned Aircraft Systems (ICUAS).

[9]  Toshiharu Sugie,et al.  Cooperative control for target-capturing task based on a cyclic pursuit strategy , 2007, Autom..

[10]  Yu-Ping Tian,et al.  Multi-target localisation and circumnavigation by a multi-agent system with bearing measurements in 2D space , 2018, Int. J. Syst. Sci..

[11]  Lihua Xie,et al.  Collective behavior of mobile agents with state-dependent interactions , 2015, Autom..

[12]  Eugene P. Ryan Remarks on the L/sup p/-input converging-state property , 2005, IEEE Transactions on Automatic Control.

[13]  Minyue Fu,et al.  Distributed control for uniform circumnavigation of ring-coupled unicycles , 2015, Autom..

[14]  Yunhui Liu,et al.  Enclosing a target by nonholonomic mobile robots with bearing-only measurements , 2015, Autom..

[15]  Lu Liu,et al.  Distributed circular formation control of ring-networked nonholonomic vehicles , 2016, Autom..

[16]  Jing Guo,et al.  Local control strategy for moving-target-enclosing under dynamically changing network topology , 2010, Syst. Control. Lett..

[17]  Andrea Garulli,et al.  Collective circular motion of multi-vehicle systems , 2008, Autom..

[18]  Brian D. O. Anderson,et al.  Circumnavigation Using Distance Measurements Under Slow Drift , 2012, IEEE Transactions on Automatic Control.

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

[20]  Yongcan Cao,et al.  Circumnavigation of an unknown target using UAVs with range and range rate measurements , 2013, 52nd IEEE Conference on Decision and Control.

[21]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

[22]  Yongcan Cao,et al.  UAV circumnavigating an unknown target under a GPS-denied environment with range-only measurements , 2014, Autom..

[23]  Guilherme A. S. Pereira,et al.  Vector Fields for Robot Navigation Along Time-Varying Curves in $n$ -Dimensions , 2010, IEEE Transactions on Robotics.

[24]  Andrey V. Savkin,et al.  Range-only based circumnavigation of a group of moving targets by a non-holonomic mobile robot , 2016, Autom..

[25]  S. Hara,et al.  Distributed formation control for target-enclosing operations based on a cyclic pursuit strategy , 2008 .

[26]  Mohamed I. El-Hawwary,et al.  Distributed Circular Formation Stabilization for Dynamic Unicycles , 2013, IEEE Transactions on Automatic Control.

[27]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .