Multi-target localisation and circumnavigation by a multi-agent system with bearing measurements in 2D space

ABSTRACT This paper investigates the problem of multi-target localisation and circumnavigation by a multi-agent system in two-dimensional space, where each target's bearing measurement can be obtained by at least one agent. Both stationary and slowly-moving targets are considered. An estimator is designed to estimate the target position; then a distributed estimation algorithm is designed for each agent to cooperatively estimate the centroid of multi-target; and finally, based on the first two steps, a circumnavigation controller is devised to guarantee that each agent circumnavigates all targets around the multi-target centroid with a desired radius. The convergence of the estimation algorithm and the stability of the circumnavigation controller are proved. A numerical simulation is provided to verify the correctness of the conclusion and the effectiveness of the proposed algorithm.

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

[2]  Brian D. O. Anderson,et al.  Multi‐target localization and circumnavigation by a single agent using bearing measurements , 2015 .

[3]  Rui Li,et al.  Target-enclosing control for second-order multi-agent systems , 2015, Int. J. Syst. Sci..

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

[5]  Guanrong Chen,et al.  Distributed Average Tracking for Reference Signals With Bounded Accelerations , 2015, IEEE Transactions on Automatic Control.

[6]  Kok Lay Teo,et al.  Cooperative enclosing control for multiple moving targets by a group of agents , 2015, Int. J. Control.

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

[8]  Yongcan Cao,et al.  Distributed Average Tracking of Multiple Time-Varying Reference Signals With Bounded Derivatives , 2012, IEEE Transactions on Automatic Control.

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

[10]  Brian D. O. Anderson,et al.  Close target reconnaissance with guaranteed collision avoidance , 2011 .

[11]  Brian D. O. Anderson,et al.  Target localization and circumnavigation using bearing measurements in 2D , 2010, 49th IEEE Conference on Decision and Control (CDC).

[12]  Randy A. Freeman,et al.  Robust dynamic average consensus of time-varying inputs , 2010, 49th IEEE Conference on Decision and Control (CDC).

[13]  Yongcan Cao,et al.  Surrounding control in cooperative agent networks , 2010, Syst. Control. Lett..

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

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

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

[17]  E.M. Atkins,et al.  A survey of consensus problems in multi-agent coordination , 2005, Proceedings of the 2005, American Control Conference, 2005..

[18]  Stephen P. Boyd,et al.  A scheme for robust distributed sensor fusion based on average consensus , 2005, IPSN 2005. Fourth International Symposium on Information Processing in Sensor Networks, 2005..

[19]  Richard M. Murray,et al.  DYNAMIC CONSENSUS FOR MOBILE NETWORKS , 2005 .

[20]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[21]  Stephen P. Boyd,et al.  Fast linear iterations for distributed averaging , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[22]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[23]  Antonio Loría,et al.  Uniform exponential stability of linear time-varying systems: revisited , 2002, Syst. Control. Lett..

[24]  Richard M. Murray,et al.  Constrained trajectory generation for micro-satellite formation flying , 2001, AIAA Guidance, Navigation, and Control Conference and Exhibit.

[25]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[26]  B. Anderson Exponential stability of linear equations arising in adaptive identification , 1977 .