A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 1 Issue 2
Apr.  2014

IEEE/CAA Journal of Automatica Sinica

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Article Contents
Wen Qin, Zhongxin Liu and Zengqiang Chen, "Formation Control for Nonlinear Multi-agent Systems with Linear Extended State Observer," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 171-179, 2014.
Citation: Wen Qin, Zhongxin Liu and Zengqiang Chen, "Formation Control for Nonlinear Multi-agent Systems with Linear Extended State Observer," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 171-179, 2014.

Formation Control for Nonlinear Multi-agent Systems with Linear Extended State Observer

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This work was supported by National Natural Science Foundation of China (61174094), Program for New Century Excellent Talents in University of China (NCET-10-0506), Natural Science Foundation of Tianjin (13JCYBJC17400, 14JCYBJ18700).

  • This paper investigates the formation control problem for nonlinear multi-agent systems with a virtual leader. A distributed formation control strategy based on linear extended state observer (LESO) is proposed under the hypothesis that velocity of the agent's neighbors could not be measured. Some sufficient conditions are established to ensure that the nonlinear multi-agent systems form a predefined formation with switching topology when the nonlinear function is known. Moreover, the tracking errors are bounded with external disturbance. Lastly, a numerical example with different scenarios is presented to demonstrate the validity of the obtained results.

     

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  • [1]
    Zheng Jun, Yan Wen-Jun. A distributed formation control algorithm and stability analysis. Acta Automatica Sinica, 2008, 34(9):1107-1113(in Chinese)
    [2]
    Xiao F, Wang L, Chen J, Gao Y P. Finite-time formation control for multi-agent systems. Automatica, 2009, 45(11):2605-2611
    [3]
    Chen F, Chen Z Q, Liu Z X, Xiang L Y, Yuan Z Z. Decentralized formation control of mobile agents:a unified framework. Physica A:Statistical Mechanics and its Applications, 2008, 387(19-20):4917-4926
    [4]
    Wen G H, Duan Z S, Li Z K, Chen G R. Flocking of multi-agent dynamical systems with intermittent nonlinear velocity measurements. International Journal of Robust and Nonlinear Control, 2012, 22(16):1790-1805
    [5]
    Chen Z Y, Zhang H T. Analysis of joint connectivity condition for multiagents with boundary constraints. IEEE Transactions on Cybernetics, 2013, 43(2):437-444
    [6]
    Tu Zhi-Liang, Wang Qiang, Shen Yi. A distributed simultaneous optimization algorithm for tracking and monitoring of moving target in mobile sensor networks. Acta Automatica Sinica, 2012, 38(3):452-461(in Chinese)
    [7]
    Yan J, Guan X P, Luo X Y, Yang X. Consensus and trajectory planning with input constraints for multi-agent systems. Acta Automatica Sinica, 2012, 38(7):1074-1082
    [8]
    Su Y F, Huang J. Cooperative output regulation of linear multi-agent systems by output feedback. Systems and Control Letters, 2012, 61(12):1248-1253
    [9]
    Li Z K, Liu X D, Ren W, Xie L H. Distributed tracking control for linear multiagent systems with a leader of bounded unknown input. IEEE Transactions on Automatic Control, 2013, 58(2):518-523
    [10]
    Ren W. Consensus based formation control strategies for multi-vehicle systems. In:Proceedings of the American Control Conference. Minneapolis, MN:IEEE, 2006. 4237-4242
    [11]
    Dong Y, Huang J. Leader-following rendezvous with connectivity preservation of a class of multi-agent systems. In:Proceedings of the 201231st Chinese Control Conference (CCC). Hefei, China:IEEE, 2012. 6477-6482
    [12]
    Qin W, Liu Z X, Chen Z Q. Impulsive formation control algorithms for leader-following second-order nonlinear multi-agent systems. In:Proceedings of the 13th IFAC Symposium on Large Scale Complex Systems:Theory and Applications. Shanghai, China:IFAC, 2013. 172-177
    [13]
    Wang J L, Wu H N. Leader-following formation control of multi-agent systems under fixed and switching topologies. International Journal of Control, 2012, 85(6):695-705
    [14]
    Arkin R C. Behavior-Based Robotics. Cambridge, MA:MIT Press, 1998
    [15]
    Balch T, Arkin R C. Behavior-based formation control for multirobot teams. IEEE Transactions on Robotics and Automation, 1998, 14(6):926-939
    [16]
    Lumelsky V J, Harinarayan K R. Decentralized motion planning for multiple mobile robots:The cocktail party model. Autonomous Robots, 1997, 4(1):121-135
    [17]
    Lewis M A, Tan K H. High precision formation control of mobile robots using virtual structures. Autonomous Robots, 1997, 4(4):387-403
    [18]
    Hernandez-Martinez E G, Aranda Bricaire E. Non-collision conditions in multi-agent virtual leader-based formation control. International Journal of Advanced Robotic Systems, 2012, 9:100
    [19]
    Hong Y G, Hu J P, Gao L X. Tracking control for multi-agent consensus with an active leader and variable topology. Robotics and Autonomous Systems, 2006, 42(7):1177-1182
    [20]
    Hong Y, Chen G R, Bushnell L. Distributed observers design for leaderfollowing control of multi-agent. Automatica, 2008, 44(3):846-850
    [21]
    Basile G, Marro G. On the observability of linear, time-invariant systems with unknown inputs. Journal of Optimization Theory and Applications, 1969, 2(6):410-415
    [22]
    Chen J, Patton R J, Zhang H Y. Design of unknown input observers and robust fault detection filters. International Journal of Control, 1995, 63(1):85-105
    [23]
    Kwon S, Chung W K. Combined synthesis of state estimator and perturbation observer. ASME Journal of Dynamic Systems, Measurement, and Control, 2003, 125(1):19-26
    [24]
    Yang H Y, Guo L, Han C. Tracking trajectory of heterogenous multiagent systems with disturbance observer based control. In:Proceedings of the 201210th World Congress on Intelligent Control and Automation (WCICA). Beijing, China:IEEE, 2012. 2352-2357
    [25]
    Yang H Y, Guo L, Zou H L. Robust consensus of multi-agent systems with time-delays and exogenous disturbances. International Journal of Control, Automation and Systems, 2012, 10(4):797-805
    [26]
    Han Jing-Qing. A class of extended state observers for uncertain systems. Control and Decision, 1995, 10(1):85-88(in Chinese)
    [27]
    Gao Z Q, Han Y, Huang Y Q. An alternative paradigm for control system design. Decision and Control, 2001. In:Proceedings of the 40th IEEE Conference on Decision and Control. Orlando, FL:IEEE, 2001. 5:4578-4585
    [28]
    Gao Z Q. Scaling and bandwidth-parameterization based controller tuning. In:Proceedings of the 2003 American Control Conference. Denver, USA:IEEE, 2003. 6:4989-4996
    [29]
    Zheng Q, Gao L Q, Gao Z Q. On stability analysis of active disturbance rejection control for nonlinear time-varying plants with unknown dynamics. In:Proceedings of the 200746th IEEE Conference on Decision and Control. New Orleans, LA:IEEE, 2007. 3501-3506
    [30]
    Ni W, Cheng D Z. Leader-following consensus of multi-agent systems under fixed and switching topologies. Systems and Control Letters, 2010, 59(3-4):209-217

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