Target centric formation control with bounded input

In this paper, we present a distributive target-centric formation controller with saturated control action for multiple unmanned aerial vehicles (UAVs). The desired target-centric formation is maintained using consensus protocol. We show that if there exists at least one vehicle in the group of agents who has the complete target information and corresponding communication graph is connected, then a target-centric formation can be maintained around the around the target. A Lyapunov function is chosen to show the stability of the system under the saturated control law. The performance of the proposed controller is demonstrated by using computer simulations.

[1]  Jose B. Cruz,et al.  Stable Cooperative Surveillance With Information Flow Constraints , 2008, IEEE Transactions on Control Systems Technology.

[2]  YangQuan Chen,et al.  Formation control: a review and a new consideration , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[3]  K.A. Morgansen,et al.  Formation Tracking Control using Virtual Structures and Deconfliction , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[4]  Gerhard Weiß,et al.  Adaptation and Learning in Multi-Agent Systems: Some Remarks and a Bibliography , 1995, Adaption and Learning in Multi-Agent Systems.

[5]  Timothy W. McLain,et al.  Multiple UAV cooperative search under collision avoidance and limited range communication constraints , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[6]  Vijay Kumar,et al.  Controlling formations of multiple mobile robots , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[7]  Guanghui Wen,et al.  Distributed consensus of multi‐agent systems with general linear node dynamics and intermittent communications , 2014 .

[8]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[9]  Kar-Han Tan,et al.  Virtual structures for high-precision cooperative mobile robotic control , 1996, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems. IROS '96.

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

[11]  Timothy W. McLain,et al.  Decentralized Cooperative Aerial Surveillance Using Fixed-Wing Miniature UAVs , 2006, Proceedings of the IEEE.

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

[13]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[14]  Guangming Xie,et al.  Leader-Following Formation Control of Multiple Mobile Robots , 2005, Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005..

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

[16]  Sandip Sen,et al.  Adaption and Learning in Multi-Agent Systems , 1995, Lecture Notes in Computer Science.

[17]  Vijay Kumar,et al.  Leader-to-formation stability , 2004, IEEE Transactions on Robotics and Automation.

[18]  Devendra P. Garg,et al.  Potential Function Based Formation Control of Mobile Multiple-Agent Systems , 2013 .

[19]  G. Whelan,et al.  Cooperative search and rescue with a team of mobile robots , 1997, 1997 8th International Conference on Advanced Robotics. Proceedings. ICAR'97.

[20]  S. Shankar Sastry,et al.  Formation control of nonholonomic mobile robots with omnidirectional visual servoing and motion segmentation , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[21]  Sergio Monteiro,et al.  A dynamical systems approach to behavior-based formation control , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[22]  Ian Postlethwaite,et al.  Cooperative Target-capturing with Incomplete Target Information , 2010, Proceedings of the 2010 American Control Conference.

[23]  Abdelkader Abdessameud,et al.  On consensus algorithms design for double integrator dynamics , 2013, Autom..

[24]  Lorenzo Sabattini,et al.  Edge-weighted consensus-based formation control strategy with collision avoidance , 2014, Robotica.

[25]  Wei Ren On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

[26]  Domenico Prattichizzo,et al.  Discussion of paper by , 2003 .

[27]  Randal W. Beard,et al.  Decentralized Scheme for Spacecraft Formation Flying via the Virtual Structure Approach , 2004 .

[28]  Sai-Ming Li,et al.  Forest fire monitoring with multiple small UAVs , 2005, Proceedings of the 2005, American Control Conference, 2005..

[29]  Stjepan Bogdan,et al.  Multi-Agent Formation Control Based on Bell-Shaped Potential Functions , 2010, J. Intell. Robotic Syst..

[30]  Randal W. Beard,et al.  Cooperative forest fire monitoring using multiple UAVs , 2007, 2007 46th IEEE Conference on Decision and Control.

[31]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

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

[33]  Ziyang Meng,et al.  Distributed Containment Control for Multiple Autonomous Vehicles With Double-Integrator Dynamics: Algorithms and Experiments , 2011, IEEE Transactions on Control Systems Technology.

[34]  Wei Ren,et al.  Second-order Consensus Algorithm with Extensions to Switching Topologies and Reference Models , 2007, 2007 American Control Conference.

[35]  Ravi N. Banavar,et al.  Rendezvous in space with minimal sensing and coarse actuation , 2013, Autom..

[36]  Toru Namerikawa,et al.  Cooperative target-capturing strategy for multi-vehicle systems with dynamic network topology , 2009, 2009 American Control Conference.

[37]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.