Flocking of multi-agents based on consensus protocol and pinning control

In this paper we propose three controllers for flocking of multi-agent system, which are basic linear controller, controller with actuator saturation and controller with time delay under the condition that the information exchanging topology of agents is connected and fixed. Each controller is composed of two components as consensus algorithms for making the entire agents converge to a common state and pinning control for guiding the agents to the desired moving direction. The stability of controllers is analyzed and the effectiveness of controllers is demonstrated by numerical simulation.

[1]  Guanrong Chen,et al.  Pinning control of scale-free complex networks , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[2]  T. Carroll,et al.  MASTER STABILITY FUNCTIONS FOR SYNCHRONIZED COUPLED SYSTEMS , 1999 .

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

[4]  Craig W. Reynolds.  Flocks, herds, and schools: a distributed behavioral model , 1998 .

[5]  George J. Pappas,et al.  Stable flocking of mobile agents, part I: fixed topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[6]  Xiang Li,et al.  Pinning a complex dynamical network to its equilibrium , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[7]  E. Shaw.  The Schooling of Fishes , 1962 .

[8]  Zengqiang Chen,et al.  Pinning control of complex dynamical networks with heterogeneous delays , 2008, Comput. Math. Appl..

[9]  I. Couzin,et al.  Effective leadership and decision-making in animal groups on the move , 2005, Nature.

[10]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[11]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[12]  George J. Pappas,et al.  Stable flocking of mobile agents part I: dynamic topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[13]  Linying Xiang,et al.  Pinning control of complex dynamical networks with general topology , 2007 .

[14]  Kostas Daniilidis,et al.  Vision-based control laws for distributed flocking of nonholonomic agents , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..