Distributed event-triggered control for multi-agent formation stabilization and tracking

This paper addesses the problem of formation control in multi-agent systems (MAS) and adopts an event-triggered strategy to reduce the number of communications between agents. For that purpose, to evaluate its control input, each agent maintains estimators of the states of the other agents. Communication is triggered when the discrepancy between the actual state of an agent and its estimate reaches some threshold. The impact of additive state perturbations is studied. A condition for the convergence of the MAS to a stable formation is studied. Simulations show the effectiveness of the proposed approach.

[1]  P. Gburzynski,et al.  Controlled flooding in wireless ad-hoc networks , 2004, International Workshop on Wireless Ad-Hoc Networks, 2004..

[2]  Naomi Ehrich Leonard,et al.  Tensegrity Models and Shape Control of Vehicle Formations , 2009, 0902.3710.

[3]  Zhiyong Sun,et al.  Distance-based formation shape stabilisation via event-triggered control , 2015, 2015 34th Chinese Control Conference (CCC).

[4]  Zhou Chao,et al.  Collision-free UAV formation flight control based on nonlinear MPC , 2011, 2011 International Conference on Electronics, Communications and Control (ICECC).

[5]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[6]  Antonio Pedro Aguiar,et al.  A Packet Loss Compliant Logic-Based Communication Algorithm for Cooperative Path-Following Control , 2013 .

[7]  Guanghui Wen,et al.  Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications , 2013, Int. J. Control.

[8]  Khac Duc Do,et al.  Formation tracking control of unicycle-type mobile robots , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[9]  Dimos V. Dimarogonas,et al.  Event-triggered control for vehicle platooning , 2015, 2015 American Control Conference (ACC).

[10]  Zhiyong Sun,et al.  Generalized controllers for rigid formation stabilization with application to event-based controller design , 2015, 2015 European Control Conference (ECC).

[11]  Guangfu Ma,et al.  Distributed Coordinated Tracking With a Dynamic Leader for Multiple Euler-Lagrange Systems , 2011, IEEE Transactions on Automatic Control.

[12]  Randal W. Beard,et al.  A decentralized scheme for spacecraft formation flying via the virtual structure approach , 2003, Proceedings of the 2003 American Control Conference, 2003..

[13]  Eloy García,et al.  Cooperative control with general linear dynamics and limited communication: Periodic updates , 2014, 2014 American Control Conference.

[14]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[15]  Zhong-Ping Jiang,et al.  Event-based consensus of multi-agent systems with general linear models , 2014, Autom..

[16]  Wendi B. Heinzelman,et al.  Adaptive protocols for information dissemination in wireless sensor networks , 1999, MobiCom.

[17]  Eloy García,et al.  Cooperative control with general linear dynamics and limited communication: Centralized and decentralized event-triggered control strategies , 2014, 2014 American Control Conference.

[18]  Kristin Y. Pettersen,et al.  Output synchronization control of ship replenishment operations: Theory and experiments , 2007 .

[19]  Zhe Liu,et al.  Formation Control of Mobile Robots Using Distributed Controller With Sampled-Data and Communication Delays , 2016, IEEE Transactions on Control Systems Technology.

[20]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[21]  Guanghui Wen,et al.  Consensus in multi‐agent systems with communication constraints , 2012 .

[22]  Didier Dumur,et al.  Guidance of flocks of vehicles using virtual signposts , 2011 .

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

[24]  Wei Ren,et al.  Consensus Tracking Under Directed Interaction Topologies: Algorithms and Experiments , 2008, IEEE Transactions on Control Systems Technology.

[25]  Gang Feng,et al.  A Synchronization Approach to Trajectory Tracking of Multiple Mobile Robots While Maintaining Time-Varying Formations , 2009, IEEE Transactions on Robotics.

[26]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[27]  Joao P. Hespanha,et al.  Communication Logic Design and Analysis for Networked Control Systems , 2006 .

[28]  Craig W. Reynolds Steering Behaviors For Autonomous Characters , 1999 .

[29]  Carlos Sagüés,et al.  Distributed consensus algorithms for merging feature-based maps with limited communication , 2011, Robotics Auton. Syst..

[30]  Cao Ming,et al.  Distributed formation stabilization for mobile agents using virtual tensegrity structures , 2015, 2015 34th Chinese Control Conference (CCC).

[31]  Christophe Viel,et al.  New state estimator for decentralized event-triggered consensus for multi-agent systems , 2016 .

[32]  K. D. Do,et al.  Formation Tracking Control of Unicycle-Type Mobile Robots With Limited Sensing Ranges , 2008, IEEE Transactions on Control Systems Technology.

[33]  Christophe Viel,et al.  New state estimators and communication protocol for distributed event-triggered consensus of linear multi-agent systems with bounded perturbations , 2017 .

[34]  Francisco Javier Moreno Arboleda,et al.  Identification of V-Formations and Circular and Doughnut Formations in a Set of Moving Entities with Outliers , 2014 .

[35]  A. Y. Alfakih,et al.  On affine motions and universal rigidity of tensegrity frameworks , 2013 .

[36]  Huaicheng Yan,et al.  Distributed event-triggered control for consensus of multi-agent systems , 2015, J. Frankl. Inst..

[37]  Jing Wang,et al.  Formation control of multiple nonholonomic mobile robots with limited information of a desired trajectory , 2014, IEEE International Conference on Electro/Information Technology.

[38]  Guoqiang Hu,et al.  Lyapunov-Based Tracking Control in the Presence of Uncertain Nonlinear Parameterizable Friction , 2007, IEEE Transactions on Automatic Control.

[39]  António Manuel Santos Pascoal,et al.  Coordinated path-following control for nonlinear systems with logic-based communication , 2007, 2007 46th IEEE Conference on Decision and Control.

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

[41]  Tao Tang,et al.  Event-triggered formation control of multi-agent systems , 2011, Proceedings of the 30th Chinese Control Conference.

[42]  Xiaofeng Wang,et al.  Decentralized event-triggered consensus of Linear Multi-agent Systems under Directed Graphs , 2015, 2015 American Control Conference (ACC).

[43]  Nandit Soparkar,et al.  Trading computation for bandwidth: reducing communication in distributed control systems using state estimators , 2002, IEEE Trans. Control. Syst. Technol..

[44]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[45]  Zhong-Ping Jiang,et al.  A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems , 1996, Autom..

[46]  Guanghui Wen,et al.  Flocking of multi‐agent dynamical systems with intermittent nonlinear velocity measurements , 2012 .