Event-triggered distributed containment control of heterogeneous linear multi-agent systems by an output regulation approach

ABSTRACT In this paper, the event-triggered distributed containment control of heterogeneous linear multi-agent systems in the output regulation framework is studied. The leaders are treated as exosystems and the containment control problem will be converted into an output regulation problem. An event-triggered protocol is then designed for each follower by the output information of neighbours. It is proved that the followers can asymptotically converge to the dynamic convex hull spanned by multiple leaders under the designed protocol and triggered strategy. Furthermore, it is shown that the proposed protocol and triggered condition can exclude Zeno behaviour, so the feasibility of the control strategy is verified. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed protocol.

[1]  Dong Yue,et al.  Event-triggered tracking control for discrete-time multi-agent systems , 2014, IMA J. Math. Control. Inf..

[2]  Guangming Xie,et al.  Containment control for second-order multi-agent systems with time-varying delays , 2014, Syst. Control. Lett..

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

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

[5]  Gang Feng,et al.  Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy , 2016, IEEE Transactions on Cybernetics.

[6]  Xiaoli Wang,et al.  Distributed formation output regulation of switching heterogeneous multi-agent systems , 2013, Int. J. Syst. Sci..

[7]  Ziyang Meng,et al.  Experimental verification of a multi-robot distributed control algorithm with containment and group dispersion behaviors: The case of dynamic leaders , 2014, IEEE/CAA Journal of Automatica Sinica.

[8]  Hyungbo Shim,et al.  Output Consensus of Heterogeneous Uncertain Linear Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[9]  Magdi S Mahmoud,et al.  Event-triggered output feedback control for distributed networked systems. , 2016, ISA transactions.

[10]  Jinde Cao,et al.  Distributed Containment Control for Nonlinear Multi-Agent Systems with Time-Delayed Protocol , 2016 .

[11]  Youfeng Su,et al.  Leader-following rendezvous with connectivity preservation and disturbance rejection via internal model approach , 2015, Autom..

[12]  Guangfu Ma,et al.  Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph , 2012, Autom..

[13]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[14]  Yuanqing Xia,et al.  Formation control and collision avoidance for multi-agent systems based on position estimation. , 2016, ISA transactions.

[15]  Xinping Guan,et al.  Finite-time consensus of multi-agent system via nonlinear event-triggered control strategy , 2015 .

[16]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[17]  Qing Zhang,et al.  Containment control of multi-agent systems with fixed time-delays in fixed directed networks , 2016, Neurocomputing.

[18]  Li Zhenxing,et al.  Cooperative output regulation for a class of non-linear multi-agent systems , 2015 .

[19]  Lixin Gao,et al.  Distributed adaptive containment control of heterogeneous linear multi-agent systems: an output regulation approach , 2016 .

[20]  Xiaofeng Liao,et al.  Leader-following consensus in second-order multi-agent systems with input time delay: An event-triggered sampling approach , 2016, Neurocomputing.

[21]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[22]  María Guinaldo,et al.  Distributed adaptive control of linear multi-agent systems with event-triggered communications , 2016, Appl. Math. Comput..

[23]  Xi Chen,et al.  Robust Sampled-Data Output Synchronization of Nonlinear Heterogeneous Multi-Agents , 2017, IEEE Transactions on Automatic Control.

[24]  Mohammad Ali Badamchizadeh,et al.  Containment control of heterogeneous linear multi-agent systems , 2015, Autom..

[25]  Giancarlo Ferrari-Trecate,et al.  Containment Control in Mobile Networks , 2008, IEEE Transactions on Automatic Control.

[26]  Lu Liu,et al.  Cooperative Output Regulation of Heterogeneous Linear Multi-Agent Systems by Event-Triggered Control , 2017, IEEE Transactions on Cybernetics.

[27]  丸山 徹.  Convex Analysisの二,三の進展について , 1977 .

[28]  Hai-Tao Zhang,et al.  Swarming behaviors in multi-agent systems with nonlinear dynamics. , 2013, Chaos.

[29]  Frank L. Lewis,et al.  Cooperative Output Regulation of Singular Heterogeneous Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

[30]  Shengyuan Xu,et al.  Event-triggered average consensus for multi-agent systems with nonlinear dynamics and switching topology , 2015, J. Frankl. Inst..

[31]  Yanjiao Zhang,et al.  Finite-time consensus of second-order leader-following multi-agent systems without velocity measurements , 2013 .

[32]  Dong Yue,et al.  Finite-time distributed event-triggered consensus control for multi-agent systems , 2016, Inf. Sci..

[33]  Zhong-Ping Jiang,et al.  Distributed output regulation of leader–follower multi‐agent systems , 2013 .

[34]  Wenwu Yu,et al.  Finite-Time Containment Control for Second-Order Multiagent Systems Under Directed Topology , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[35]  Long Wang,et al.  Containment control of heterogeneous multi-agent systems , 2014, Int. J. Control.

[36]  Mengyin Fu,et al.  Distributed containment control of multi‐agent systems with general linear dynamics in the presence of multiple leaders , 2013 .

[37]  Mohammad Haeri,et al.  Flocking of multi-agent systems with multiple second-order uncoupled linear dynamics and virtual leader , 2016 .

[38]  Xiaoli Wang,et al.  Distributed event-triggered output regulation of multi-agent systems , 2015, Int. J. Control.

[39]  Yigang He,et al.  Second‐order consensus for nonlinear leader‐following multi‐agent systems via dynamic output feedback control , 2016 .

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

[41]  Jie Huang,et al.  Cooperative Output Regulation of Linear Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.