This paper deals with the leader-following consensus problem for a class of second-order nonlinear multi-agent systems by output feedback.The communication topology is characterized by a Markovian switching graph.Firs...This paper deals with the leader-following consensus problem for a class of second-order nonlinear multi-agent systems by output feedback.The communication topology is characterized by a Markovian switching graph.Firstly,an input-driven observer is introduced to estimate the consensus error of each follower agent.Then,a cooperative nonlinear control law is constructed using the relative output information between neighboring agents by employing the backstepping methodology,which achievesleader-following consensusin mean square sense.Compared with the existing results,the nonlinear functions are required to satisfy polynomial growth condition rather than globally Lipschitz growth or Lipschitz-like growth condition.A numerical example is given to illustrate the theoretical results.展开更多
基金supported by Science and Technology Commission of Shanghai Municipality(No.20dz1207000).
文摘This paper deals with the leader-following consensus problem for a class of second-order nonlinear multi-agent systems by output feedback.The communication topology is characterized by a Markovian switching graph.Firstly,an input-driven observer is introduced to estimate the consensus error of each follower agent.Then,a cooperative nonlinear control law is constructed using the relative output information between neighboring agents by employing the backstepping methodology,which achievesleader-following consensusin mean square sense.Compared with the existing results,the nonlinear functions are required to satisfy polynomial growth condition rather than globally Lipschitz growth or Lipschitz-like growth condition.A numerical example is given to illustrate the theoretical results.