摘要We consider the collective dynamics for a multi-agent system with a virtual leader. The velocity of the leader is time-varying and the interconnection topology of position network is switching based on the distances between agents. To track the leader in flocking, a neighbour-based local piecewise smooth controller is proposed for each agent. Using the control method, all agent velocities asymptotically approach the desired velocity while collisions can be avoided between agents. Some simulation results are provided to demonstrate the theoretical results.
Abstract:We consider the collective dynamics for a multi-agent system with a virtual leader. The velocity of the leader is time-varying and the interconnection topology of position network is switching based on the distances between agents. To track the leader in flocking, a neighbour-based local piecewise smooth controller is proposed for each agent. Using the control method, all agent velocities asymptotically approach the desired velocity while collisions can be avoided between agents. Some simulation results are provided to demonstrate the theoretical results.
YANG Ji-Chen;LU Qi-Shao. Flocking of Multi-agent Systems Following Virtual Leader with Time-Varying Velocity[J]. 中国物理快报, 2009, 26(2): 20501-020501.
YANG Ji-Chen, LU Qi-Shao. Flocking of Multi-agent Systems Following Virtual Leader with Time-Varying Velocity. Chin. Phys. Lett., 2009, 26(2): 20501-020501.
[1] Couzin I, Krause J, Franks N and Levin S 2005 Nature 433 513 [2] Olfati-Saber R 2006 IEEE Trans. Autom. Control 51 401 [3] Olfati-Saber R and Murray R 2004 IEEE Trans. Autom.Control 49 1520 [4] Sun Y and Ruan J 2008 Chin. Phys. Lett. 253493 [5] Fax A and Murray R 2004 IEEE Trans. Autom. Control 49 1465 [6] Liu Y, Passino K and Polycarpou M 2003 IEEE Trans.Autom. Control 48 76 [7] Justh E and Krishnaprasad P 2002 Inst. Syst. Res. 38 49 [8] Gazi V and Passino K 2003 IEEE Trans. Autom. Control 48 692 [9] Liu B, Chu T G, Wang L and Wang Z 2005 Chin. Phys.Lett. 22 254 [10] Shi H, Wang L and Chu T G 2006 Physica D 21351 [11] Hong Y G, Chen G R and Bushnell L 2007 Automatica 44 846 [12] Fang J and Liang Y 2005 Chin. Phys. Lett. 222719 [13] Tanner H, Jadbabaie A and Pappas G 2007 IEEE Trans.Autom. Control 52 863